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Case Study Questions for Class 6 Maths Chapter 1 Knowing Our Numbers

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Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for Class 6 Maths Chapter 1 Chapter 1 Knowing Our Numbers.

Knowing Our Numbers Case Study Questions

Case Study Question 1:

The population of Delhi in 2017 was 19072564 and it increased to 25704625 in 2021.

(i) Write the population of 2021 in words. (a) two crore fifty seven lakh four thousand six hundred twenty five (b) twenty five lakh seventy thousand six hundred twenty five (c) two hundred fifty seven thousand four hundred twenty five. (d) twenty five crore seventy lakh forty six thousand and twenty five.

(ii) The successor of 19072564 is. (a) 19072563 (b) 19072565 (c) 29072564 (d) 19072574

(iii) What is the place value of ‘ 7 ‘ in 19072564 (a) 7 (b) 70000 (c) 7000 (d) 700

(iv) Write the population of 2017 in words according to International system of numeration.

(v) Write the population of 2021 in expanded form.

Maths Class 6 Chapter List

Latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions

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CBSE Class 6 Mathematics Knowing our Numbers Extra Questions. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide   website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in CBSE Class 6 Mathematics   syllabus and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

CBSE Class 6 Maths Extra Questions

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CBSE Class 6 Maths Chapter 1 Important Questions

Ch – 1 Knowing our Numbers

• None of these
• 10000000, 10000001, 10000002, 10000003, 10000004
• 10000001, 10000002, 10000003, 10000004, 10000005
• 10000004, 10000003, 10000002, 10000001, 10000000
• 7 8,92,10,92
• 7,89,21,092
• 1 2202, 7691

Match the following-

Fill in the blanks:

• 1 million = _____ hundred thousand.
• 1 crore = _____ ten lakh.
• 1 crore = _____ million.
• 1 million = _____ lakh.

State whether the following statements are true or false.

• 1 Thousand = 10 hundred.
• There are many Roman Numbers.
• You are using estimation to get rough idea.
• Standard unit of mass is centimetre.
• How many crores makes a billion?
• Find the greatest number from below number 763298 and 764298
• Place commas correctly and write the numerals : a) Seventy three lakh seventy five thousand three hundred seven. b) Nine crore five lakh forty one. c) Seven crore fifty two lakh twenty one thousand three hundred two. d) Fifty eight millions four hundred twenty three thousand two hundred two.
• On Sunday 6000 people visited a zoo. Among them 2615 were children then how many adult visited zoo?
• Kirti Bookstore sold books worth Rs.2,85,891 in the first week of June and books worth Rs.4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
• Find the greatest and the smallest number. 42375, 42367, 42329, 42338.
• Write and solve the expression: Thirteen multiplied by sum of four and eleven. Now reverse the result and add it to earlier result, what you obtain multiply it by 13.
• 10000000, 10000001, 10000002, 10000003, 10000004 Explanation: The smallest 8-digit number is 1,00,00,000 and the next four numbers are 1,00,00,001, 1,00,00,002, 1,00,00,003 and 1,00,00,004
• 24657 Explanation: The number has 4 in thousands place and 6 in hundreds place
• 1410 Explanation: 567 + 843 = 1410
• 12202, 124 Explanation: The number containing 5 digits is greater than the numbers containing digits 4 or 3 in short 5 digit number > 4 digit number > 3 digit number The number containing 3 digits is smaller than the numbers containing digits 4 or 5 in short 3 digit number < 4 digit number < 5 digit number
• {tex} \to {/tex} q
• {tex} \to {/tex} p
• {tex} \to {/tex} s
• {tex} \to {/tex} r
• 1 million = ten hundred thousand.
• 1 crore = ten ten lakh.
• 1 crore = ten million.
• 1 million = ten lakh.
• 1 billion= 100 crore
• 764298 is the greatest number
• a) 73,75,307 b) 9,05,00,041 c) 7,52,21,302 d) 58,423,202
• Total number of people visited the zoo = 6000 people Total number of children = 2615 children Then number of adults = 6000 – 2615 = 3385
• Sale of books in the first week = Rs.2,85,891. Sale of books in the second week = Rs.4,00,768 ∴ Sale for the two weeks together = Rs.2,85,891 + Rs.4,00,768 = Rs.6,86,659. The sale was greater in the second week by Rs. 4,00,768 – Rs.2,85,891 i.e., by Rs.1,14,877.
• The greatest number is 42375 The smallest number is 42329
• Expression 13 {tex} \times {/tex} (4 + 11) = 13 {tex} \times {/tex} 15= 195 On reversing the answer = 591 Adding reversing number to the result i.e. 591 + 195 = 786 Multiplying it by 13 i.e. 786 {tex} \times {/tex} 13= 10218.

Chapter Wise Extra Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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Chapter 1 Class 6 Knowing our Numbers

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Get NCERT Solutions of Chapter 1 Class 6 Knowing our Numbers with Videos of all questions. All exercise questions and examples are solved with step-by-step answers.

In this chapter, we will

• First revise our concepts of Place Value
• Learn about Indian Number System and International Number System
• Then, we learn how to compare large numbers
• And, add , subtrac t, multiply large numbers
• We study what rounding off is, and how to round off to nearest tens, hundreds, thousands
• We learn about  General rule for rounding off , which is used in sum, subtraction and multiplication
• What are Roman Numerals
• Rules for forming Roman Numerals
• List of Roman Numerals for reference
• Roman Numerals for big numbers

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Class 6 Maths Chapter 1 Question and Answers

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Class 6 Maths Chapter 1 Important Questions – Knowing Our Numbers

Maths is an important subject we study in school. In Class 6, students will learn the basics of the subject, which will be needed in higher classes. The first chapter is about learning numbers. Maths deals with numbers, and students must identify numbers.

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In this chapter, students will study larger numbers like thousands, lakhs, etc. They will learn how to express these numbers with the help of commas. The chapter also includes addition and subtraction of larger numbers, how to find the largest among given numbers, etc. This is an easy chapter, but students must practice questions to build their concepts.

Extramarks is a leading company that provides all the important study materials related to CBSE and NCERT. Our experts have made the Important Questions Class 6 Maths Chapter 1 to help the students in practice. They have collected the questions from the textbook exercises, CBSE sample papers, CBSE past years’ question papers, NCERT Exemplars, and important reference books. They have solved the questions, and experienced professionals have further checked the answers to ensure the best quality of the content.

We provide a wide range of study materials to students, and you can download these after registering on our official website. You will find the CBSE syllabus, CBSE sample papers, CBSE revision notes, CBSE extra questions, CBSE past years’ question papers, NCERT books, NCERT solutions, NCERT Exemplars, NCERT important questions, vital formulas, and many more.

Get Access to CBSE Class 6 Maths Important Questions with Solutions

Also, get access to CBSE Class 6 Maths Important Questions for other chapters too:

Knowing Our Numbers Class 6 Extra Questions with Solutions

Our experts have made the question series to help students. They have collected the questions from textbook exercises, CBSE sample papers, CBSE past years’ question papers, NCERT Exemplars, and important reference books. They have also solved the questions so that students can follow the answers. Experienced professionals have further checked the solutions to ensure the best quality of the content. Thus, the Important Questions Class 6 Maths Chapter 1 will help students  score better in exams. The important questions are-

Question 1.

Fill in the blanks:

(i) One lakh = ………….. ten thousand.

(ii) 1 million = ………… hundred thousand.

(iii) 1 crore = ………… ten lakh.

(iv) 1 crore = ………… million.

(v) 1 million = ………… lakh.

(i) 1 lakh = ten ten thousand.

(ii) 1 million = ten hundred thousand.

(iii) 1 crore = ten ten lakh

(iv) 1 crore = ten million

(v) 1 million = ten lakh

Question 2.

(i) 1 metre = ____millimetres.

(ii) 1 centimetre = ____ millimetres.

(iii) 1 kilometre = ____ millimetres.

(iii) 10, 00, 000

Question 3.

(i) 1 gram = ___ milligrams.

(ii) 1 litre = ___ millilitres.

(iii) 1 kilogram = ___ milligrams.

(iii) 10,00,000

Question 4.

Place the commas correctly and write the numerals :

(i) Seventy-three lakh seventy-five thousand three hundred seven.

(ii) Nine crore five lakh forty-one.

(iii) Seven crore fifty-two lakh twenty-one thousand three hundred two.

(iv) Fifty-eight million four hundred twenty- three thousand two hundred two.

(v) Twenty-three lakh thirty thousand ten.

(i) 73,75,307

(ii) 9,05,00,041

(iii) 7,52,21,302

(iv) 5,84,23,202

(v) 23,30,010.

Question 5.

Insert commas in the numbers suitably and write their names according to the Indian System of Numeration:

(i) 87595762

(ii) 8546283

(iii) 99900046

(iv) 98432701

(i) 8,75,95,762 (Eight crore seventy-five lakh ninety-five thousand seven hundred sixty- two)

(ii) 85,46,283 (Eighty-five lakh forty-six thousand two hundred eighty-three)

(iii) 9,99,00,046 (Nine crore ninety-nine lakh forty-six)

(iv) 9,84,32,701 (Nine crores eighty-four lakh thirty-two thousand seven hundred one)

Question 6.

Insert commas in the numbers suitably and write their names according to the International System of Numeration:

(i) 78921092

(ii) 7452283

(iii) 99985102

(iv) 48049831

(i) 78,921,092 (Seventy-eight million nine hundred twenty-one thousand ninety-two)

(ii) 7,452,283 (Seven million four hundred fifty- two thousand two hundred eighty-three)

(iii) 99,985,102 (Ninety-nine million nine hundred eighty-five thousand one hundred two)

(iv) 48,049,831 (Forty-eight million forty-nine thousand eight hundred thirty-one)

Question 7.

A number in which the Sum of all of its factors is equal to twice the number is called a ___ number.

Question 8.

The numbers which have more than just two factors are called ___ numbers.

Question 9.

Two is the only ___ number which is even.

Question 10.

Two numbers having only one as a common factor are called ___ numbers.

Question 11.

The Lowest Common Multiple ( LCM) of two or more given numbers is always the lowest of their common ___.

Question 12.

The Highest Common Factor  (HCF) of two or more than two given numbers is also known as the highest of their common ___.

Question 13.

The product of the place values of the two 2’s in 428721 is

(iii) 400000

(iv) 40000000

(iii): Place the values of 2’s in 428721 are 20000 and 20

∴ The required product = 20000 × 2 = 400000

Question 14.

Number 3 × 10000 + 7 × 1000 + 9 × 100 + 0 × 10 + 4 is the same as

(iii) 37904

(iv) 379409

(ii) : 3 × 10000 + 7 × 1000 + 9 × 100 + 0 × 10 + 4

= 30000 + 7000 + 900 + 4 = 37904

Question 15.

If one is added to the greatest 7-digit number, then it will be equal to

(i) 10 thousand

(ii) 1 lakh

(iii) 10 lakh

(iv) One crore

(iv) : The greatest 7-digit number = 99,99,999

Now, 99,99,999 + 1 = 1,00,00,000

Question 16.

The greatest number in which on rounding off to the nearest thousands gives 5000, is

(iv) : (1) Rounding off 5001 to nearest thousands = 5000

(2) Rounding off 5559 to nearest thousands = 6000

(3) Rounding off 5999 to nearest thousands = 6000

(4) Rounding off 5499 to nearest thousands = 5000

And 5499 > 5001

Question 17.

Keeping the place of six in the number 6350947 same, the smallest number which can be obtained by rearranging other digits is

(i) 6975430

(ii) 6043579

(iii) 6034579

(iv) 6034759

(iii) : Tire new number formed = 6034579

Question 18.

The smallest four-digit number having three different digits is

(iv): The smallest 4-digit number with three different digits is 1002.

Question 19.

The number of all the whole numbers between 38 and 68 is

(iii): There are 29 whole numbers between 38 and 68.

Question 20.

The product of the successor and the predecessor of 999 is

(ii) 998000

(iii) 989000

(ii) : Successor of the number 999 = 999 + 1 = 1000

Predecessor of the number 999 = 999 – 1 = 998

Hence, their product = 998 1000 = 998000

Question 21.

Write in expanded form :

(ii) 574021

(iii) 8907010

(i) 74836 is equal to = 7 × 10000 + 4 × 1000 + 8 × 100 + 3 × 10 + 6 × 1

(ii) 574021 is equal to = 5 × 100000 + 7 × 10000 + 4 x 1000 + 0 × 100 + 2 × 10 + 1 × 1

(iii) 8907010 is equal to = 8 × 1000000 + 9 × 100000 + 0 × 10000 + 7 × 1000 + 0 × 100 + 1 × 10 + 0 × 1

Question 22.

A book exhibition was held for 4 days in a school. The number of the tickets sold on the counter on the first, second, third, and the final day was – 1094, 1812, 2050, and 2751. Find the total number of tickets that sold on all four days.

Number of the tickets sold on the first day = 1094

Number of the tickets sold on the second day = 1812

Number of the tickets sold on the third day = 2050

Number of the tickets sold on the final day = 2751

∴Total number of the tickets sold on all of these four days = 1094 + 1812 + 2050 + 2751 = 7,707.

Question 23.

Shekhar is a famous cricket player. He has so far scored a total of 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

Shekhar has so far scored a total of 6980 runs

He wishes to complete a total of 10,000 runs.

Therefore total number of the runs needed by him are = 10,000 – 6980 = 3020 runs

Question 24.

Which of the following given statements is not true?

(i) Both the addition and multiplication are associative for whole numbers.

(ii) Zero is the identity for the multiplication of whole numbers.

(iii) Addition and multiplication are commutative for whole numbers.

(iv) Multiplication is distributive over addition for whole numbers.

(ii): Zero is the identity for the addition of whole numbers.

Question 25.

(i) 0 + 0 = 0

(ii) 0 – 0 = 0

(iii) 0 × 0 = 0

(iv) 0 – 0 = 0

(iv) : 0 + 0 is not defined.

Question 26.

The predecessor of 1 lakh is

(iii) 999999

(iv) 100001

(ii) : 1 lakh = 100000

∴ Predecessor of 100000 = 100000 – 1 = 99999

Question 27.

The successor of 1 million is

(i) Two million

(ii) 1000001

(iii) 100001

(ii) : 1 million = 1000000

∴ Successor of 1000000 = 1000000 + 1 = 1000001

Question 28.

The number of all the even numbers between 58 and 80 is

(i) : Even numbers between the numbers 58 and 80 are 60, 62, 64, 66, 68, 70, 72, 74, 76, 78.

So, these are ten even numbers between 58 and 80.

Question 29.

The Sum of the number of primes numbers between 16 to 80 and between 90 to 100 is

(iii) : Prime numbers between 16 to 80 are – 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73 and 79.

So, there are total 16 prime numbers between 16 to 80.

Also, 97 is the only one prime number between 90 to 100.

So, there is only one prime number between 90 to 100.

∴ Required sum = 16 + 1 = 17

Question 30.

(i) The HCF of the two distinct prime numbers is 1

(ii) The HCF of two coprime numbers is 1

(iii) The HCF of two consecutive even numbers is 2

(iv) The HCF of an even number and an odd number is always even

(iv): The HCF of an even and an odd number is always said to be an odd number.

Question 31.

In an election, the successful candidate was registered 5,77,500 votes, and his nearest rival had secured 3,48,700 votes. By what total margin did the successful candidate win the election?

Number of the votes secured by the successful candidate = 5,77,500

Number of the votes secured by his nearest rival = 3,48,700

Therefore, margin of the votes is necessary to win the election = 5,77,500 – 3,48,700 = 2,28,800

Question 32.

Kirti bookstore sold books worth a total of ₹2,85,891 in the 1st week of June and books  worth a total of ₹4,00,768 in the second week of the month. How much was the total sale for the two weeks together? And in which week was the total sale greater and by how much?

Books sold in the first week of the month June are worth ₹2,85,891

Books sold in the second week of the month are worth ₹4,00,768

Therefore, the total sale of the books in the two weeks together is

= ₹2,85,891 + ₹4,00,768 = ₹6,86,659

In the 2nd week of the month, the sale of total books was greater.

Therefore, the difference in the sale of books

= ₹4,00,768 – ₹2,85,891 = ₹1,14,877

So, in the second week of June, the total sale of books was more than ₹1,14,877.

Question 33.

Find the difference below between the highest and the lowest numbers that is written using the digits 6, 2, 7, 4, and 3, each only once.

Given digits = 6, 2, 7, 4, 3

Greatest number is = 76432

Least number is = 23467

Therefore, difference = 76432 – 23467 = 52,965

Question 34.

A machine, on average, manufactures 2,825 screws a day. How many screws did it produce in January 2006?

The number of screws that are manufactured in a day = 2,825.

Number of screws that are manufactured in month of January = 31 x 2825 = 87,575

Question 35.

The total distance between the school and the house of a student is 1 km and 875 m. Every day she walks both the ways. Find the total distance she covered in six days.

Distance between the school and her house = 1 km 875 m = (1000 + 875) m = 1875 metre.

Total Distance travelled by the student from school to home and from home to school is = 2 x 1875 = 3750 m

Distance travelled by the student in six days is = 3750 m x 6 – 22500 m = 22 km 500 m.

Therefore, the total distance covered in 6 days = 22 km 500 m.

Question 36.

A merchant had ₹78,592 with her. She placed an order to purchase 40 radio sets at ₹1200 each. How much total money will remain with her after the purchase?

Amount of money present with the merchant = ₹78,592

Total Number of the radio sets = 40

Price of one of the radio set = ₹1200

Therefore, the cost of 40 radio sets = ₹1200 x 40 = ₹48,000

Remaining money left with the merchant = ₹78,592 – ₹48000 = ₹30,592

Hence, the amount of ₹30,592 will remain with her after purchasing the following radio sets.

Question 37.

A vessel has four litres and 500 ml of curd. How many total glasses, each of 25 mL capacity, can be filled?

Quantity of the curd in a vessel = 4 l 500 mL = (4 x 1000 + 500) mL = 4500 mL.

Capacity of 1 glass = 25 mL

Therefore the number of glasses = 4500/25

Question 38.

A student has multiplied the number 7236 by 65 instead of multiplying by 56. Calculate by how much was his answer greater than the right answer?

The student had multiplied the number 7236 by 65 instead of multiplying by 56.

The difference between the two above multiplications is = (65 – 56) x 7236 = 9 x 7236 = 65124

(We don’t have to do both the multiplication)

Hence, the answer that is greater than the correct answer is 65,124.

Question 39.

Estimate each of the following given numbers using the general rule:

(i) 730 + 998

(ii) 796 – 314

(iii) 12,904 + 2,888

(iv) 28,292 – 21,496

Rounding off 730 nearest to hundreds = 700

Rounding off 998 nearest to hundreds = 1,000

∴ 730 + 998 = 700 + 1000 = 1700

Rounding off 796 nearest to hundreds = 800

Rounding off 314 nearest to hundreds = 300

∴ 796 – 314 = 800 – 300 = 500

Rounding off 12,904 nearest to thousands = 13000

Rounding off 2888 nearest to thousands = 3000

∴ 12,904 + 2,888 = 13000 + 3000 = 16000

Rounding off 28,292 nearest to thousands = 28,000

Rounding off 21,496 nearest to thousands = 21,000

∴ 28,292 – 21,496 = 28,000 – 21,000 = 7,000

Question 40.

Estimate the following given products using the general rule:

(i) 578 x 161

(ii)5281 x 3491

(iii) 1291 x 592

(iv) 9250 x 29

(i) 578 x 161 = 600 x 200 = 1,20,000

(ii) 5281 x 3491 = 5000 x 3000 = 1,50,00,000

(iii) 1291 x 592 = 1300 x 600 = 7,80,000

(iv) 9250 x 29 = 9000 x 30 = 2,70,000

Question 41.

Which of the following is not true?

(i) (7 + 8) + 9 = 7 + (8 + 9)

(ii) (7 × 8) × 9 = 7 × (8 × 9)

(iii) 7 + 8 × 9 = (7 + 8) × (7 + 9)

(iv) 7 × (8 + 9) = (7 × 8) + (7 × 9)

(iii) : 7 + 8 × 9 = 7 + 72 = 79,

(7 + 8) × (7 + 9) = 15 × 16 = 240

and 79 ≠ 240

Question 42.

The length of the river ‘Narmada’ is 1290 km. Its length in metres is – _____.

As, 1290 km = (1290 × 1000) m = 1290000 m

Question 43.

The total distance between Srinagar and Leh is 422 km. The same distance in metres is – _____.

As, 422 km= (422 × 1000) m = 422000 m

Question 44.

Writing numbers from the greatest to the smallest is called an arrangement in ___ order.

Question 45.

By reversing the order of the digits of the greatest number made by the five different non-zero digits, we get the new number which is the number of _____ five digits.

By reversing the order of the digits of the greatest number made by the five different non-zero digits, the new number present is the smallest number of these digits.

Question 46.

By adding 1 to the greatest ___ digit number, we get the number ten lakh.

As, greatest six-digit number = 999999

By adding one to 999999, we get 1000000.

Question 47.

The number five crore twenty-three lakh seventy-eight thousand four hundred one can also be written, using the commas, in the Indian System of Numeration as.

5, 23, 78, 401

Question 48.

In the Roman Numeration, the symbol X can be subtracted from – ___, M and C only.

Question 49.

The number 66 in Roman numerals is.

LXVI : 66 = LXVI

Question 50.

The total population of Pune was 2,538,473 in 2001. Rounded off to the nearest thousands, the population was ___.

Question 51.

The smallest whole number is ___.

0 : 0 is the smallest whole number.

Question 52.

The successor of number 106159 is ___.

As, Successor of 106159 is 106159 + 1, i.e., 106160

Question 53.

400 is the predecessor of the number ___.

As, 400 is the predecessor of 400 + 1, i.e., 401

Question 54.

___ is the successor of the largest three digit number.

As, Largest three digit number = 999

And the successor of 999 is 999 + 1, i.e., 1000

Question 55.

If the number 7254*98 is to be divisible by the number 22, then the digit at * is

(iii) : 7254 * 98 is divisible by the number 22 only if it is divisible by both 2 and 11.

Given that the number is even. Therefore it is divisible by the number 2.

7254 * 98 is divisible by 11, only if

(7 + 5 + * + 8) – (2 + 4 + 9) or (20 + *) – 15 or 5 + * is also divisible by 11.

∴ The digit at * place should be filled by 6.

Question 56.

The largest number which will always divide the Sum of any pair of consecutive odd numbers is

(ii)The Sum of any pair of the consecutive odd numbers results in the form of a multiple of 4.

∴ The required largest number is 4.

Question 57.

A number is divisible by five and six. It may not be divisible by

(iv): The Least Common Multiple also known as LCM of 5 and 6 is 30.

And also 30 is divisible by the numbers 10, 15 and 30 but not by the number  60.

Question 58.

The greatest number which will always divide the product of the predecessor and successor of an odd natural number other than 1, is

(ii): As the odd natural numbers other than 1 are – 3, 5, 7, 9 and so on.

Now, we know that the predecessor and successor of 3 are – 2 and 4 respectively, and their product is two × four = 8

Similarly, we know that the predecessor and the successor of 5 are – 4 and 6, respectively, and their product is four × 6 = 24.

Thus, the above shows that the greatest number which always divides the product of the predecessor and the successor of an odd natural number other than 1 is 4.

Question 59.

A person had only ₹ 1000000 with him. He purchased a coloured-T.V. for ₹ 16580, a motorcycle for ₹ 45890 and a flat for ₹ 870000. How much money was left with him?

The total amount a person had was = ₹ 1000000

The total amount he spent on a colour T.V. was = ₹ 16580

The amount he spent on a motorcycle was = ₹ 45890

The amount he spent on a flat was = ₹ 870000

∴ Total amount he spent is = ₹ (16580 + 45890 + 870000) = ₹ 932470

Thus, the total amount left with him = ₹ 1000000 – ₹ 932470 = ₹ 67530

Question 60.

Out of 180000 tablets of Vitamin A, a total of 18734 are distributed among the students in the district. Find the total number of remaining vitamin tablets.

Total tablets of Vitamin A are = 180000

Total number of tablets distributed among the students in the district = 18734

∴ The number of total remaining vitamin tablets = 180000 – 18734 = 161266

Question 61.

Chinmay only had ₹ 610000. He gave a total of ₹ 87500 to Jyoti, ₹ 126380 to Javed and ₹ 350000 to John. How much money was left with him?

Chinmay had a total amount = of ₹ 610000

The total amount he gave to Jyoti = ₹ 87500

The total amount he gave to Javed = ₹ 126380

The total amount he gave to John = ₹ 350009

Total amount given by Chinmay is = ₹ (87500 + 126380 + 350000) = ₹ 563880

Thus, the amount left with him

= ₹ 610000 – ₹ 563880 = ₹ 46120

Benefits of Solving Class 6 Maths Chapter 1 Extra Questions 

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Q.1 Which of the following is the representation of number 74 according to roman numerals?

(b). XXXXXXXIV

(d). DCCXLV

Ans (a). LXXIV

Q.2 What is the greatest 7 digit number formed by using the digits 4 , 9 , 1 and 6? Note that each digit should be used at least once.

(a). 99,99,641

(c). 99,66,441

(d). 11,11,469

Given digits:

9 > 6 > 4 > 1

The greatest 7 digit number using the digits 4, 9, 1 and 6 is 99,99,641.

Q.3 Which one of the following is the estimated product of 47 and 215?

Rounding off 215 to the nearest hundreds, we get 200.

Rounding off 47 to nearest tens, we get 50.

Estimated product

Thus, 10,000 is the estimated product of 47 and 215.

Q.4 Write 645340001 using comma in International System of Numeration.

645,340,001

Q.5 a) How many thousands make a million? b) How many lakhs make a crore?

a) 1000 thousands make 1 million. (? 1 million = 1,000,000 = 1000 thousands) b) 100 lakhs make a crore. (? 1 crore = 1,00,00,000 = 100 lakhs)

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Cbse important questions for class 6 maths, chapter 2 - whole numbers.

Chapter 3 - Playing with Numbers

Chapter 4 - basic geometrical ideas, chapter 5 - understanding elementary shapes, chapter 6 - integers, chapter 7 - fractions, chapter 8 - decimals, chapter 9 - data handling, chapter 10 - mensuration, chapter 11 - algebra, chapter 12 - ratio and proportion, chapter 13 - symmetry, chapter 14 - practical geometry, faqs (frequently asked questions), 1. is class 6 maths chapter 1 easy.

The first chapter of Class 6 Maths provides a few basic ideas related to numbers. They will learn how to express bigger numbers, such as in thousands, lakhs, crores, etc. They will also learn how to use commas to write larger number, add or subtract large numbers, etc. This is an easy chapter because most students have ideas regarding lakhs, crores, or other units of numbers. Thus, students won’t have problems understanding the subject matter if they follow the textbook closely. Students can take help from the Important Questions Class 6 Maths Chapter 1 prepared by the experts of Extramarks, and they will find a wide variety of questions to solve.

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RS Aggarwal Solutions for Class 6 Math Chapter 1 - Knowing Our Numbers

• RS Aggarwal Solutions
• Knowing Our Numbers

RS Aggarwal Solutions for Class 6 Math Chapter 1 Knowing Our Numbers are provided here with simple step-by-step explanations. These solutions for Knowing Our Numbers are extremely popular among class 6 students for Math Knowing Our Numbers Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggarwal Book of class 6 Math Chapter 1 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggarwal Solutions. All RS Aggarwal Solutions for class 6 Math are prepared by experts and are 100% accurate.

Page No 12:

Question 1:.

Fill in the blanks:

(a). 1 lakh = _________ ten thousand.

(b). 1 million = _________ hundred thousand.

(c). 1 crore = _________ ten lakh.

(d). 1 crore = _________ million.

(e). 1 million = _________ lakh.

(1 lakh = 1,00,000 and ten thousand = 10,000)

(1 million = 1,000,000 and 1 hundred thousand = 1, 00,000)

(1 crore = 1,00,00,000 and Ten lakh = 10,00,000)

(1 crore = 1,00,00,000 and 1 million = 1,000,000)

(1 million = 1,000,000 and 1 lakh = 1,00,000)

Question 2:

Place commas correctly and write the numerals:

(a). Seventy three lakh seventy five thousand three hundred seven.

(b). Nine crore five lakh forty one.

(c). Seven crore fifty two lakh twenty one thousand three hundred two.

(d). Fifty eight million four hundred twenty three thousand two hundred two.

(e). Twenty three lakh thirty thousand ten.

(a) 73,75,307

(b) 9,05,00,041

(c) 7,52,21,302

(d) 58,423,202

(e) 23,30,010

Question 3:

Insert commas suitably and write the names according to Indian System of Numeration:

(a). 87595762 (b). 8546283

(c). 99900046 (d). 98432701

(a) 8,75,95,762

Eight crore seventy five lakh ninety five thousand seven hundred sixty two

(b) 85,46,283

Eighty five lakh forty six thousand two hundred eighty three

(c) 9,99,00,046

Nine crore ninety nine lakh forty six

(d) 9,84,32,701

Nine crore eighty four lakh thirty two thousand seven hundred one

Video Solution for Knowing Our Numbers (Page: 12 , Q.No.: 3)

NCERT Solution for Class 6 math - Knowing Our Numbers 12 , Question 3

Question 4:

Insert commas suitably and write the names according to International System of Numeration:

(a). 78921092  (b). 7452283

(c). 99985102 (d). 48049831

(a) 78,921,092

Seventy eight million nine hundred twenty one thousand ninety two

(b) 7,452,283

Seven million four hundred fifty two thousand two hundred eighty three

(c) 99,985,102

Ninety nine million nine hundred eighty five thousand one hundred two

(d) 48, 049,831

Forty eight million forty nine thousand eight hundred thirty one

Video Solution for Knowing Our Numbers (Page: 12 , Q.No.: 4)

NCERT Solution for Class 6 math - Knowing Our Numbers 12 , Question 4

Page No 16:

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third, and final day was respectively 1094, 1812, 2050, and 2751. Find the total number of tickets sold on all the four days.

Tickets sold on 1 st day = 1094

Tickets sold on 2 nd day = 1812

Tickets sold on 3 rd day = 2050

Tickets sold on 4 th day = 2751

Total tickets sold = 1094 + 1812 + 2050 + 2751

∴ Total tickets sold = 7,707

Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10, 000 runs. How many more runs does he need?

Runs scored so far = 6980

Runs Shekhar wants to score = 10,000

More runs required = 10,000 − 6980

∴ Shekhar requires 3,020 more runs.

Video Solution for Knowing Our Numbers (Page: 16 , Q.No.: 2)

NCERT Solution for Class 6 math - Knowing Our Numbers 16 , Question 2

In an election, the successful candidate registered 5, 77, 500 votes and his nearest rival secured 3, 48, 700 votes. By what margin did the successful candidate win the election?

Votes secured by successful candidate = 5,77,500

Votes secured by rival = 3,48,700

Margin = 5,77,500 − 3,48,700

∴ Margin = 2,28,800

Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Value of Books sold in 1 st week = Rs 2,85,891

Value of books sold in 2 nd week = Rs 4,00,768

Total sale = Sale in 1 st week + Sale in 2 nd week

= 2,85,891 + 4,00,768

The sale for the two weeks together was 6,86,659.

Since 4,00,768 > 2,85,891, sale in 2 nd week was greater than 1 st week.

∴ The sale in 2 nd week was larger than the sale in 1 st week by Rs 1,14,877.

Video Solution for Knowing Our Numbers (Page: 16 , Q.No.: 4)

NCERT Solution for Class 6 math - Knowing Our Numbers 16 , Question 4

Page No 17:

Question 5:.

Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.

Greatest number = 76432

Smallest number = 23467

Difference = 76432 − 23467

Therefore, the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once is 52,965.

Question 6:

A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Screws produced in one day = 2,825

Days in January = 31

Screws produced in 31 days = 2825 × 31

Therefore, screws produced during Jan, 06 = 87,575

Question 7:

A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?

Cost of one radio set = Rs 1200

Cost of 40 radio sets = 1200 × 40 = Rs 48000

Money with Merchant = Rs 78,592

Money spent = Rs 48,000

Money left = 78592 − 48000

Therefore, Rs 30,592 will remain with her after the purchase.

Question 8:

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

Difference between 65 and 56 = 9

Difference in the answer = 7236 × 9

Therefore, his answer was greater than the correct answer by 65,124.

Question 9:

To stitch a shirt, 2m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint: convert data in cm.)

2 m 15 cm = 215 cm (1 m = 100 cm)

40 m = 40 × 100

Cloth required for one shirt = 215 cm

Number of shirts that can be stitched out of 4000 cm = 4000 ÷ 215

Therefore, 18 shirts can be made. 130 cm, i.e. 1 m 30 cm, cloth will remain.

Question 10:

Medicine is packed in boxes, each weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?

1 kg = 1000 g

4 kg 500 g = 4500 g

800 kg = 800 × 1000 = 800000 g

Number of boxes that can be loaded in the van = 800000 ÷ 4500

Hence, 177 boxes at maximum can be loaded in the van.

Video Solution for Knowing Our Numbers (Page: 17 , Q.No.: 10)

NCERT Solution for Class 6 math - Knowing Our Numbers 17 , Question 10

Question 11:

The distance between the school and the house of a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.

Distance between school and house = 1 km 875 m

Now, 1 km = 1000 m

1 km 875 m = 1875 m

Distance covered each day = 1875 × 2 = 3750 m

Distance covered in 6 days = 3750 × 6

Therefore, distance covered in 6 days = 22,500 m

= 22.5 km or 22 km 500 m

Question 12:

A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

Capacity of vessel = 4 l 500 ml

= 4500 ml (1 l = 1000 ml)

Capacity of a glass = 25 ml

Number of glasses that can be filled = 4500 ÷ 25

∴ 180 glasses can be filled.

Video Solution for Knowing Our Numbers (Page: 17 , Q.No.: 12)

NCERT Solution for Class 6 math - Knowing Our Numbers 17 , Question 12

Page No 23:

Estimate each of the following using general rule:

(a) 730 + 998 (b) 796 − 314 (c) 12, 904 + 2, 888

(d) 28, 292 − 21, 496

Make ten more such examples of addition, subtraction and estimation of their outcome.

(a) 730 + 998

By rounding off to hundreds, 730 rounds off to 700 and 998 rounds off to 1000.

(b) 796 − 314

By rounding off to hundreds, 796 rounds off to 800 and 314 rounds off to 300.

(c) 12904 + 2822

By rounding off to thousands, 12904 rounds off to 13000 and 2822 rounds off to 3000.

(d) 28,296 − 21,496

By rounding off to nearest thousands, 28296 rounds off to 28000 and 21496 rounds off to 21000.

Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):

(a) 439 + 334 + 4, 317 (b) 1,08, 734 − 47, 599 (c) 8325 − 491

(d) 4, 89, 348 − 48, 365

Make four more such examples.

(a) 439 + 334 + 4317

Rounding off to nearest hundreds, 439, 334, and 4317 may be rounded off to 400, 300, and 4300 respectively.

Rounding off to nearest tens, 439, 334, and 4317 may be rounded off to 440, 330, and 4320 respectively.

(b) 1,08,734 − 47,599

Rounding off to hundreds, 1,08,734 and 47,599 may be rounded off to 1,08,700 and 47,600 respectively.

Rounding off to tens, 1,08,734 and 47,599 may be rounded off to 1,08,730 and 47,600 respectively.

(c) 8325 − 491

Rounding off to hundreds, 8325 and 491 may be rounded off to 8300 and 500 respectively.

Rounding off to tens, 8325 and 491 may be rounded off to 8330 and 490 respectively.

(d) 4,89,348 − 48,365

Rounding off to hundreds, 489348 and 48365 may be rounded off to 489300 and 48400 respectively.

Rounding off to tens, 489348 and 48365 may be rounded off to 489350 and 48370 respectively.

Estimate the following products using general rule:

(a) 578 × 161 (b) 5281 × 3491

(c) 1291 × 592 (d) 9250 × 29

(a) 578 × 161

Rounding off by general rule, 598 and 161 may be rounded off to 600 and 200 respectively.

(b) 5281 × 3491

Rounding off by general rule, 5281 and 3491 may be rounded off to 5000 and 3000 respectively.

(c) 1291 × 592

Rounding off by general rule, 1291 and 592 may be rounded off to 1000 and 600 respectively.

(d) 9250 × 29

Rounding off by general rule, 9250 and 29 may be rounded off to 9000 and 30 respectively.

View NCERT Solutions for all chapters of Class 6

NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers will help the students take their understanding of numbers a bit further and explore topics like shifting digits, expanding brackets, roman numerals, estimating sum or difference, products, outcomes of number situations, and many more. This chapter will also help the students revise all the operations on numbers like multiplication , addition , subtraction , and division covered in the previous classes. Presented below is an in-depth analysis of Class 6 Maths NCERT Solutions Chapter 1.

These solutions will help the students understand large numbers through real-life examples while also exploring their unit conversions. They will also get to learn about the International and Indian systems of numeration along with an introduction to the concept of roman numerals. Let us now take a deeper look at the different sub-topics covered in NCERT Solutions Class 6 Maths Chapter 1 and also you can find some of these in the exercises given below.

• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.1
• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.2
• NCERT Solutions Class 6 Maths Chapter 1 Ex 1.3

NCERT Solutions for Class 6 Maths Chapter 1 PDF

NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers contains all the important questions, images, explanations, and formulas covered in the chapter. These solutions are aimed at helping the students understand and solve complex concepts such as the use of commas in larger numbers. Commas are used to mark thousands, lakhs, and crores. Let us do a detailed exercise-wise overview of this chapter using the PDF links given below :

☛ Download Class 6 Maths NCERT Solutions Chapter 1 Knowing Our Numbers

NCERT Class 6 Maths Chapter 1   Download PDF

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

Students must have already studied the formation of numbers in the previous classes. In this chapter, they will be introduced to the concept of arranging numbers in ascending as well as in descending order and shifting the digits to form new numbers. All these ideas are explained along with real-life examples in the NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers.

• Class 6 Maths Chapter 1 Ex 1.1 - 4 Questions
• Class 6 Maths Chapter 1 Ex 1.2 - 12 Questions
• Class 6 Maths Chapter 1 Ex 1.3 - 5 Questions

☛ Download Class 6 Maths Chapter 1 NCERT Book

Topics Covered: The important topics covered under Class 6 maths NCERT Solutions Chapter 1 are natural numbers , comparison of numbers, place value of a digit, estimation of the numbers, roman numerals , and importance of brackets. Questions related to all these topics must be practiced regularly to score excellent marks in the exams.

Total Questions: Class 6 Maths Chapter 1 Knowing Our Numbers has a total of 21 well-researched questions out of which 12 are straightforward, 3 are of moderate level, and 6 are complex level problems. 

List of Formulas in NCERT Solutions Class 6 Maths Chapter 1

NCERT solutions class 6 maths chapter 1 does not cover any formulas . However, there are some pointers that the students must remember while solving problems from this chapter. These pointers will help them avoid mistakes while giving a crystal clear understanding of the topics covered in this chapter. Let us now go through these pointers one by one :

• Given two numbers, if one has a large number of digits, then it is greater. In the case where the number of digits is the same, the number with the larger leftmost digit is considered to be the greater number.
• We put commas after 3 digits in the Indian system. These commas are put after 3,5,7, thus separating the thousand, lakh, and crore. However, in the International System, we put commas after every 3 and 6 digits from right, separating thousands, billions, and further billions.
• We use estimation in order to get a rough figure of the numbers involved. This gives us a quick idea of the answer. Estimation is done by rounding numbers.

Important Questions for Class 6 Maths NCERT Solutions Chapter 1

Faqs on ncert solutions for class 6 maths chapter 1, why are ncert solutions class 6 maths chapter 1 important.

NCERT Solutions Class 6 Maths Chapter 1 will help kids identify pain points and find ways to solve questions in an efficient manner. They focus on some of the fundamental concepts that act as a building block for a kid’s mathematical journey. Topics such as estimation have practical applications in our daily life as it gives an idea of the quantity. Thus these solutions are extremely important for students considering their utility in everyday life.

Do I Need to Practice all Questions Provided in NCERT Solutions for Class 6 Maths Knowing Your Numbers?

All the questions in NCERT Solutions are curated by experts covering a range of topics. NCERT Solutions for Class 6 Maths Chapter 1 will help you explore all the topics in detail by solving a range of problems. Thus practicing all the questions of this chapter is important for a strong mathematical foundation.

What are the Important Topics Covered in NCERT Solutions Class 6 Maths Chapter 1?

NCERT Solutions Class 6 Maths Chapter 1 covers a range of essential topics such as estimating numbers, use of commas, place value, expanding brackets, and roman numerals. Questions related to all these topics are explained in a step-wise manner in the NCERT solutions.

How Many Questions are there in Class 6 Maths NCERT Solutions Chapter 1 Knowing Your Numbers?

There are a total of 21 sums in the NCERT Solutions Class 6 Maths Chapter 1 Knowing Your Numbers. These questions are distributed in 3 exercises. Out of 21 questions, 10 are easy sums, 5 are moderately difficult problems, while 6 are complex sums that need brainstorming.

How can CBSE Students utilize NCERT Solutions for Class 6 Maths Chapter 1 effectively?

In order to effectively utilize the NCERT Solutions Class 6 Maths Chapter 1 students must go through the detailed solutions of all the questions, explore the chapter summary, and theory of the chapter. Students must give adequate time to all the exercises and solve questions in a step-wise manner.

Why Should I Practice NCERT Solutions Class 6 Maths Knowing Your Numbers?

NCERT Solutions Class 6 Maths Chapter 1 Knowing Your Numbers will help you revise the previous concepts from earlier classes like place values, whole numbers, number system, etc. Apart from that, this chapter will help you understand the applications of interesting concepts in your day-to-day life.

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Assertion and Reason Questions Class 6 Maths Chapter 1 Knowing Our Numbers

Hello Students are looking for Assertion Reason Questions Class 6 Maths Chapter 1 Knowing Our Numbers, If yes here we Net Explanations have given Assertion and Reason MCQ for 6th Class Maths Chapter 1.

Solved CBSE Class 6 Maths Chapter 1 Assertion Reasoning Questions – Knowing Our Numbers. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.

1.) Assertion (A) –92 is greater number than 52.

Reason (R) –  When a number is bigger or larger than the second or rest quantities ornumbers it is known as greater number.

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

2.) Assertion (A) – 59785 is the greatest number among 382, 4972, 18, 59785, 750.

Reason (R) –  When a number is bigger or larger than the second or rest quantities or numbers it is known as greatest number.

3.) Assertion (A) – 111 is the smallest number among 1834, 75284, 111, 2333, 450

Reason (R) –  When a number is smaller or smallest than the second or rest quantities it is known as smallest number.

4.) Assertion (A) –7691 is smaller number than 9999.

Reason (R) –  When a number is smaller or smallest than the second or rest quantitiesit is known as smaller number

5.) Assertion (A) – 774 and 272 does not contain any repeated digits.

Reason (R) –  Repeated numbers consists of digits which are repeated in the same number.

6.)  Assertion (A) – 534 and 816 does not contain any repeated digits.

7.)  Assertion (A) – 571, 847, 8320, 9754 are arranged in ascending order.

Reason (R) –   Ascending order means arrangement from the smallest to the greatest.

8.) Assertion (A) – 9801, 25751, 36501, 38802 571, 847, 8320, 9754 are arranged in ascending order.

9.) Assertion (A) – 5000, 7500, 85400, 7861 are arranged in descending order.

Reason (R) –   Descending order means arrangement from the greatest to

the smallest.        

10.) Assertion (A) – 92547, 88715, 45321, 1971 are arranged in descending order.

Reason (R) –   Descending order means arrangement from the greatest to the smallest.

11.) Assertion (A) – 99999 is the greatest 5 digit number.

Reason (R) – When a number is bigger or larger than the second or rest quantities or numbers it is known as greatest number.

12.) Assertion (A) -10000 is the smallest 5 digit number.

Reason (R) – When a number is smaller or smallest than the second or rest quantities it is known as smallest number.

13.) Assertion (A) – 56,500,800 is correct in Indian System of Numeration.

Reason (R) –10,00,00,000 is the sequence of comma in in Indian System of Numeration.

14.) Assertion (A) -38,26,167 is correct in Indian System of Numeration.

15.) Assertion (A) – 67,50,983 is correct in International System of Numeration

 Reason (R) – 100,000,000 is the sequence of comma in in International System of Numeration.

16.) Assertion (A) – 153,864,712 is correct in International System of Numeration.

Reason (R) – 100,000,000 is the sequence of comma in in International System of Numeration.

17.) Assertion (A) – 1 kilometre= 100 metre

Reason (R) – 1 metre = 100 centimetres

18.) Assertion (A) – 1000 metre = 1 Kilometre 

Reason (R) – 1 centimetre = 10 millimetre

19.) Assertion (A) – 1000 gram= 1 Kilogram

Reason (R) – 1 gram = 1000 milligrams.

20.) Assertion (A) – 1 liter = 1000 milliliter

Reason (R) – 1000 liter = 1 kiloliter

1: A           2:A            3:D            4:A            5:D            6:A  

7: A            8:D            9:D            10:A          11:A          12:B

13:D          14:A          15:D          16:C          17:C          18:A         

19:D          20:A

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6th Class Mathematics Knowing our Numbers Question Bank

Done knowing our numbers total questions - 55.

A) 7055                      done clear

B) 7855   done clear

C) 7955      done clear

D) 8155 done clear

question_answer 2) In numbers from 1 to 100, how many times does the digit 0 appear?

A) 9                             done clear

B) 10 done clear

C) 11                            done clear

D) 12 done clear

question_answer 3) How many numbers are there containing 2 digits?

A) 90                            done clear

B) 99 done clear

C) 100                        done clear

D) 89 done clear

A) 4                             done clear

B) 3   done clear

C) 2                             done clear

D) 1 done clear

question_answer 5) Which of the following is the correct expansion of 27012?

A)  2000+700+0+10+2 done clear

B)  20000+700+0+10+2 done clear

C)  20000+1000+0+70+2 done clear

D)  20000+7000+0+10+2   done clear

question_answer 6) Which of the following is the greatest?

A) 7212      done clear

B) 7122 done clear

C) 7211      done clear

D) 7221   done clear

question_answer 7) Choose the correct ascending order of 6411, 6144, 6344, 6744.

A)  6144,6344,6411,6744   done clear

B)  6744,6411,6344,6144 done clear

C)  6344,6411,6144,6744 done clear

D)  6144,6411,6744,6344 done clear

question_answer 8) The smallest 4-digit number formed by using the digits 5,0,3,1 and 7 only once contains

A)  0 in thousands place. done clear

B)  5 in tens place. done clear

C)  3 in tens place.   done clear

D)  7 in units place. done clear

question_answer 9) Write the greatest 4-digit number using different digits with 6 in the tens place.

A) 9876                      done clear

B) 9867   done clear

C) 9687      done clear

D) 6987 done clear

question_answer 10) Round 3500 to the nearest thousand.

A) 3000      done clear

B) 3600 done clear

C) 4000        done clear

D) 4500 done clear

question_answer 11) Which of the following is the largest 8-digit number?

A) 888999 done clear

B) 99999999   done clear

C) 999999 done clear

D) 8999999 done clear

question_answer 12) Which is the smallest 9-digit number?

A) 900000000          done clear

B) 9 done clear

C) 100000000                            done clear

D) 10000000 done clear

question_answer 13) What is the place value of 8 in the number 86, 93, 04, 600?

A) Eight crores       done clear

B) Eighty crores   done clear

C) Crores  done clear

D) Eighty six crores done clear

question_answer 14) How many thousands is 1 lakh?

A) 1000      done clear

B) 100   done clear

C) 10                          done clear

D) 10000 done clear

question_answer 15) Which is the place that comes on the immediate right of the hundreds place in the place value chart?

A) Thousands         done clear

B) Tens   done clear

C) Ones    done clear

D) Ten thousands done clear

question_answer 16) What are the places in the millions period?

A) M, TM  done clear

B) O, T, M done clear

C) M,TM, HM           done clear

D) TTh, HTh, M done clear

question_answer 17) Under which period is ten lakhs?

A) Crores  done clear

B) Lakhs   done clear

C) Thousands         done clear

D) Millions done clear

question_answer 18) How many millions are there in 10 crores?

A) 100                          done clear

C) 1                             done clear

D) 100 done clear

question_answer 19) Identify the symbol to be placed in the box \[\text{100002 }\,\square \text{ 1000002}\].

A)  >                            done clear

B) <   done clear

C) =                            done clear

D)  : done clear

question_answer 20) How many crores make 1 billion?

A) 1                             done clear

C) 100                          done clear

D) 1000 done clear

question_answer 21) For which digit are the place value and face value always equal?

A) 0                                               done clear

B) 1 done clear

C) Any digit             done clear

D) 10 done clear

question_answer 22) What is the predecessor of 80808080?

A) 80808099            done clear

B) 80808081 done clear

C) 80808079              done clear

D) 80808080 done clear

question_answer 23) What is the difference of the smallest 6-digit number and the greatest 4-digit number?

B) 90000 done clear

C) 90001     done clear

D) 900001 done clear

question_answer 24) Choose the correct statement.

A)  85868788 > 85878688 > 85888687 done clear

B)  85878688 > 85868788 > 85888687 done clear

C)  85868788 > 85888687 > 85878688 done clear

D)  85888687 > 85878688 > 85868788   done clear

question_answer 25) What is the face value of 3 in 31005660?

A) 3 crores               done clear

B) 30 lakhs done clear

C) 3                               done clear

D) 3 lakhs done clear

question_answer 26) What is the difference between the place values of the two 3s in 3116365?

A) 2999700                 done clear

B) 3000700 done clear

C) 2990700               done clear

D) 3000005 done clear

question_answer 27) What is number of zeroes that come after 1 in 10 crores?

A) 6                             done clear

B) 7 done clear

C) 8                               done clear

D) 9 done clear

question_answer 28) Which of the following is the Roman numeral for the greatest three digit number?

A) IXIXIX   done clear

B) CMIXIX done clear

C) CMXCIX                 done clear

D) CMIIC done clear

question_answer 29) What is the Hindu-Arabic numeral for MCDXVIII?

A) 1618      done clear

B) 1405 done clear

C) 1418        done clear

D) 1481 done clear

question_answer 30) What are the numerals that can be repeated in Roman System?

A) I, X and C              done clear

B) I, V and X done clear

C) V, L and D           done clear

D) D and L done clear

question_answer 31) What are the numerals that cannot be subtracted in Roman System?

A) V, L and D             done clear

B) I, X and V done clear

C) C and X                done clear

D) M and C done clear

question_answer 32) What is the Roman numeral for the difference of 500 and 200?

A)  C                            done clear

B)         CCC   done clear

C)  MMM  done clear

D)         D done clear

question_answer 33) Which of the following are the two numbers formed by subtracting I in Roman numerals?

A) 11 and 12            done clear

B) 4 and 10 done clear

C) 4 and 9   done clear

D) 5 and 6 done clear

question_answer 34) Anita's age is 48 years. How is her age represented in Roman System?

A) XXXXVIIII            done clear

B) XLVII done clear

C) XLVIII     done clear

D) XLV done clear

question_answer 35) Bobby's date of birth is 19th September. How is Bobby's date of birth represented in Roman System?

A) XXI                        done clear

B) XIXX done clear

C) IIX                          done clear

D) XIX   done clear

question_answer 36) Raju is 22 years old and Ramu is 19 years old. How is the difference of their ages represented in Roman System?

A) III                             done clear

B) XXDI done clear

C) XXXLII  done clear

D) XXXLL done clear

question_answer 37) What is the Roman numeral for 498?

A) CDCXVIII             done clear

B) CDCXIV done clear

C) CDXCVIII               done clear

D) CDXCVII done clear

question_answer 38) What is the Hindu-Arabic numeral for CCCXLVII?

A) 357                        done clear

B) 347   done clear

C) 367                                        done clear

D) 387 done clear

question_answer 39) What is the number of matchsticks that can be used to write 39 in Roman System?

A) 8                             done clear

B) 9   done clear

C) 3                             done clear

D) 6 done clear

question_answer 40) What is the Roman numeral for the number obtained when 144 is divided by 16?

A) X                            done clear

B) VII done clear

C) VIII                        done clear

D) IX   done clear

question_answer 41) How is the product obtained when 28 is multiplied by 2 represented in Roman System?

A) LIV                         done clear

B) LI I done clear

C) LVI                           done clear

D) LVII done clear

question_answer 42) How is the sum of CDI, V, C and X represented in Hindu-Arabic numeral?

A) 506                        done clear

B) 401 done clear

C) 406                        done clear

D) 516   done clear

question_answer 43) The number of boys in a class is 27 and the number of girls is 19. Write the total strength of the class in Roman numeral.

A) XLV                       done clear

B) XLIV done clear

C) XLVI                        done clear

D) XLVII done clear

question_answer 44) How many numerals are there in Roman numeration system?

A) 10                          done clear

C) 8                             done clear

D) 7   done clear

question_answer 45) What is the ascending order of XX, XXXVI, and V?

A) V XXXVI, XX                       done clear

B) XX, V, XXXVI done clear

C) V XX, XXXVI         done clear

D) XXXVI, XX, V done clear

question_answer 46) What is the Roman numeral for 2143?

A) MMCXLIII        done clear

B) MMCLIII done clear

C) MMCXLII                            done clear

D) VIIVIII done clear

question_answer 47) Which Roman numeral corresponds to the product obtained when 13 is multiplied by 7?

A) XXCI                      done clear

B) LXI done clear

C) XCI                          done clear

D) Cl done clear

question_answer 48) Which of the following is/are meaningless?

A) VX                         done clear

B) IXIV done clear

C) XIIV                       done clear

D) All the above   done clear

question_answer 49) How many 8-digit numbers are there?

A) 99999999     done clear

B) 89999999 done clear

C) 90000000       done clear

D) 100000000 done clear

question_answer 50) What is the sum (21397 + 27807 + 42505) estimated to the nearest thousand?

A) 90000   done clear

B) 91000 done clear

C) 92000     done clear

D) 93000 done clear

question_answer 51) How is CDXLVI expressed in Hindu-Arabic numeral?

A) 456                        done clear

B) 466 done clear

C) 436                        done clear

D) 446   done clear

question_answer 52) How many times does the digit 3 appear in numbers from 1 to 100?

A) 18                          done clear

B) 19 done clear

C) 20                            done clear

D) 21 done clear

question_answer 53) How many numbers are there containing 3-digits?

A) 999                        done clear

B) 899 done clear

C) 900                          done clear

D) 800 done clear

question_answer 54) Write the smallest 5-digit number using three digits with 7 in the thousands place.

A) 77710   done clear

B) 17001 done clear

C) 07100   done clear

D) 17000   done clear

question_answer 55) What is the numeral for ninety million ninety thousand ninety?

A) 9, 090, 090          done clear

B) 90, 090, 090   done clear

C) 90, 90, 90            done clear

D) 90, 900, 900 done clear

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• Knowing our Numbers

Knowing our numbers- An overview

Knowing our Numbers is the first chapter in NCERT for the 6th class. It is very important to go through this chapter thoroughly as it would create a foundation for students for the further chapters in the book. The topics that are discussed in this chapter are listed below-

Introduction

Comparing numbers, large numbers in practice, using brackets, roman numerals.

The first section is the introduction which introduces the importance of numbers that help us to count or arrange the objects and are used in many different contexts. These are arithmetic values that help us to convey the magnitude of all the objects that are present around us.

In order to understand mathematical concepts such as greater than or equal to, the comparison of numbers is important. The subtopics of comparing numbers are:

How many numbers can you make?

In this part, students will learn how they can make numbers from given digits. Numbers will be formed in such a way that no digit is repeated in a single number and there cannot be two exact numbers. Students will also learn about the different orders of numbers which are ascending (smallest to greatest) and descending (greatest to smallest).

Shifting digits

In this part, students will learn how a small shift in the digits of the numbers can make a difference in the value of the number.

Introducing 10,000

In this part, students learn about the greatest 3-digit number which is 999, and what happens when we add a 1 to 999.

Revisiting place value

In this part, students will learn about the expansion of 2-digit, 3-digit, and 4-digit numbers and the place value for each digit.

Introducing 1,00,000

In this part, students will learn about the greatest 5-digit number which is 99999, and what happens when 1 is added to 99999.

Larger Numbers

In this section, students will learn about the greatest and smallest 6-digit, 7-digit, and 8-digit numbers which include numbers like 10 lakh and one crore.

An aid in reading and writing large numbers

This section will explain to the students how to read and write large numbers by identifying the digits in one place, tens place, hundreds place, and so on.

Use of commas

This chapter will also help the students to learn the use and importance of commas in the number system.

Students will learn about large numbers and how they can be written in shorter forms by using units such as centimeters and meters, grams and kilograms, meters and kilometers, etc.

This section will help the students to learn about the approximate or near values of certain numbers. Let us have a look at the subsections.

Estimating the nearest tens by rounding off

In this section, students will learn how to round off numbers to the nearest tens. Suppose 13 is a number that lies between 10 and 20, but since it is closer to 10, therefore it would be rounded off to the nearest tens which are 10.

Estimating the nearest hundreds by rounding off

Here students will learn how to round off numbers to the nearest hundreds, for example, 310 lies between 300 and 400 but are closer to 300, therefore it will be rounded off to 300.

Estimating the nearest thousands by rounding off

Just like nearest tens and hundreds, students will also learn about how to round off numbers to the nearest thousand. For example, 8600 is a number that lies between 8000 and 9000 but since it is closer to 9000, it would be rounded off to the nearest thousand which is 9000.

Estimating outcomes of number situations

Students will learn about the situations where we need to answer quickly for how to add numbers quickly by keeping the digits of the numbers being added in the same place and rounding them off to the nearest values.

To estimate sum or difference

It is not always necessary that you need to round off, therefore in this section students will learn why and when we need to round off.

To estimate products

Here the students will learn about the general rule which states that estimating while multiplying can be done by rounding off each factor to its greatest place and then multiplying those factors. 

Students will learn about the use of brackets and how they are used in order to avoid confusion while doing mathematical calculations. In expanding brackets the students will learn the systematic procedure for the removal of brackets.

Students will study one of the earliest systems which are roman numerals and are still used in many places

FAQs on Knowing our Numbers

1. What is estimation in mathematics? How to round off numbers?

Estimation in mathematics is making an assumption or rounding off a particular number for better understanding and quick calculation. For instance, 25,158 people have attended a recent football match. However, for better reference, this number is rounded-off to its nearest round number, i.e. either 25,000 or 25,500.

On the other hand, referring 25,128 as 26,000 is not a correct estimation. Additionally, to round off numbers using this method, you can take help of the estimation and use the nearest estimated number. You can use this estimation method to perform mathematical operations as well. Moreover, this method helps in quick calculation and representing an exact figure that is often difficult to calculate. 

2. Which is the lowest five-digit number?

10, 000 is the smallest five-digit number. Moreover, it appears by adding 1 with the highest four-digit number, i.e. 9,999. The pattern followed for this calculation is, 9+1=10=10X1; 99+1=100=100X1; 999+1=1000=1000X1; 9,999+1=10,000=10,000X1.

Furthermore, you can use this method to calculate an even larger number with six, seven-digits. This process further explains that, highest single-digit number + 1 = smallest two-digit number; greatest two-digit number + 1 = smallest three-digit number; highest three-digit number + 1 =  smallest four-digit number, and so on.

3. What is the International System of Numeration?

Similar to the Indian system of numeration, there is an International system of numeration. However, unlike the Indian system, here commas mark thousands and millions. One million is equal to a thousand thousands.

Moreover, in this system, commas come after every three-digit from the right. Here the first one marks thousand and the next one is for millions. For instance, 45,520,598 is read as forty-five million five hundred twenty thousand five hundred and ninety-eight according to the international system. On the other hand, in the Indian system, it will be read as four crores fifty-five lakhs twenty thousand five hundred and ninety-eight.

Additionally, in the international system, billion is used to denote any number larger than millions. Thus, 1 billion = 1000 million.

4. What is the purpose of a comma?

Commas play a pivotal role in writing, learning and remembering large numbers. The Indian System of Numeration uses ones, tens, thousands, lakhs and then crores. Commas help in marking these. Moreover, in the Indian system commas are used in indicating thousands, lakhs, and then crores.

Furthermore, the initial comma comes after hundreds place, i.e. three digits from the right. After that, the second comma comes after two digits, which marks lakh. Finally, the third comma comes after another two digits, i.e. seven digits from the right. Thus, it marks crore.

5. What are Some of the Importance of Estimation of Numbers?

Estimation is one of the most important skills that one possesses and it is not possible for the students to determine if the answer is correct or not if they lack these skills. Estimation of numbers is important as it helps to possibly determine the correct and reasonable answers. Estimations can make a calculation quicker, easier, and realistic if done properly.

6. What is the Reason behind studying Roman Numerals?

Roman numerals are a part of the numerical system that was studied in ancient Rome. The numerals include combinations of letters from Latin alphabets which are used to represent different values. Studying Roman numerals may help the students in understanding the ancient roman culture and think about numbers in different ways.

7. What are Some of the Uses of Brackets in Mathematics?

Brackets can be of various types such as parentheses, square and curly brackets. Using brackets helps to create groups and in order to gain more clarity about the order of the mathematical operations that are to be performed in an equation.

8. What is meant by the Place Value in the Number System?

The value that a digit represents on the basis of the position of the digit in a number is known as the place value of the digit. The place value can be tens, hundreds, thousands, and so on. For example, the place value of 9 in 2998 is hundreds and it represents the hundredth place. To learn more about the place value in detail, students can visit Vedantu.

9. What is meant by BODMAS?

BODMAS is an abbreviation for a bracket, orders, division, multiplication, addition, and subtraction. It is one of the most important rules in mathematics which is followed to do calculations in maths. It is according to this rule the sequence is followed while performing mathematical operations.

Class 6 Knowing our Numbers: Notes, MCQs, Mindmap & Extra Questions & Answers

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Mastering the basics of number-related concepts can help to improve your understanding of mathematics in Class

Knowing your numbers in class 6 chapter 1 NCERT math can be tricky, but it doesn't have to be! With the right resources and practice, you can master the understanding of mathematical problems with ease. Download our notes, multiple choice questions (MCQs), and test prep materials to help you ace the exam and know your numbers like a pro.

Understand Place Value

Place value is an important concept in Math, which helps us to understand the value of each number in a specific place. To understand this concept, you must learn the Positional System which divides numbers into ones, tens, hundreds and so on. Through this system, you can add and subtract larger numbers with ease. It also helps you compare and order larger numbers correctly.

Form and Compare Numbers

Using the Positional System, you can form and compare multiple digit numbers. To Raju, a number like 435 can be broken down into hundreds, tens, and ones. This makes it easier to compare numbers since each digit in a number is compared with the corresponding position from an other number in the same question. For example when comparing 435 to 463, you can look at their hundreds place first which is 4 for both numbers and then immediately conclude that 463 is greater than 435 because 6 is greater than 5.

Addition of Two or More digit numbers

Adding two or more digits can easily be done by adding the numbers in each place value column. For example, if you were to add 435 and 463, all you need to do is add the numbers in each column starting from the rightmost digit and moving towards the left. 400 + 400 = 800, 3 + 6 = 9, thereby making 899 as your answer. This method of addition works for any number of digits as long as they are lined up correctly according to their place values.

Subtraction of Two or More digit numbers

Subtraction of two or more numbers is done using the same method as adding two or more numbers. You simply need to subtract the number in each column starting from rightmost and moving towards the left, like so 500 – 200 = 300, 3 - 6 = -3, resulting in 297 as your answer. This technique works for any number of digits. Take note that if you are subtracting a larger number from a smaller one, you will be left with a negative answer.

Knowing our numbers class 6 is a fundamental topic that introduces students to the fascinating world of numbers and lays the foundation for more advanced mathematical concepts. This comprehensive SEO-based paragraph delves into various aspects of the subject, including knowing our numbers class 6 worksheets, PDFs, questions and answers, notes, test papers, extra questions, MCQs, and more. With a focus on providing students with the necessary resources to master this topic, we aim to make the learning experience enjoyable and engaging.

The knowing our numbers class 6 worksheet is an essential tool for students to practice and reinforce their understanding of numbers. These worksheets encompass a wide range of exercises that involve working with large numbers, understanding place value, comparing and ordering numbers, rounding, and estimation. Available in PDF format, the knowing our numbers class 6 worksheet with answers PDF enables students to easily access and practice these exercises, ensuring a thorough understanding of the topic.

In addition to worksheets, knowing our numbers class 6 PDF resources serve as valuable study materials for students. These resources cover various aspects of the subject, such as place value, number systems, rounding, and estimation. Students can use these PDF resources to supplement their classroom learning and gain a deeper understanding of the topic.

To facilitate a more interactive learning experience, knowing our numbers class 6 questions and answers provide students with opportunities to test their knowledge and apply their understanding of numbers to solve problems. These questions and answers cover a wide range of topics, enabling students to practice and refine their skills in various aspects of knowing our numbers.

For students seeking additional resources to help them excel in their studies, knowing our numbers class 6 notes provide a comprehensive overview of the topic. These notes are designed to help students easily grasp essential concepts and serve as excellent study materials for revision. The knowing our numbers class 6 test paper, which includes a variety of questions, is a valuable resource to help students evaluate their understanding and prepare for examinations.

Students looking to challenge themselves further can delve into knowing our numbers class 6 extra questions and knowing our numbers class 6 MCQs. These resources offer additional practice opportunities, enabling students to develop their problem-solving skills and excel in their studies. The assignment on knowing our numbers class 6 serves as a useful tool for students to consolidate their learning and apply their understanding of numbers to real-world scenarios.

For students who prefer learning in Hindi, knowing our numbers meaning in Hindi and knowing our numbers in Hindi resources are available to cater to their learning preferences. These resources cover the same topics and concepts as the English versions, ensuring that all students have access to high-quality educational materials.

The maths knowing our numbers worksheet class 6 is another valuable resource for students seeking additional practice opportunities. Similar to other worksheets, these resources cover a range of topics and exercises to help students develop a thorough understanding of numbers.

For a more visual learning experience, the knowing our numbers class 6 mindmap serves as a helpful tool for students to visualize the relationships between different concepts within the topic. By using the mind map, students can quickly recall important ideas and better prepare for examinations.

What is the importance of knowing our numbers in class 6? Knowing our numbers in class 6 is important because it helps students understand the basics of numbers, place values, number systems, rounding, and estimation, which are fundamental concepts in mathematics.

What is place value? Place value is the value of a digit in a number based on its position. Each position in a number has a specific place value, such as ones, tens, hundreds, thousands, and so on.

What are the different number systems? The different number systems include the Hindu-Arabic numeral system (also known as the decimal system), the Roman numeral system, and the binary system, among others. The decimal system is the most widely used number system.

What is rounding? Rounding is the process of approximating a number to a specific degree of accuracy, usually to the nearest whole number, ten, hundred, and so on.

Click here to download rounding off to the nearest 10 worksheet

What is estimation? Estimation is the process of finding an approximate value or quantity based on available information or data. It is useful for making quick calculations and determining approximate answers without carrying out exact calculations.

How can students practice knowing our numbers in class 6? Students can practice knowing our numbers through various resources, such as worksheets, questions and answers, test papers, MCQs, and extra questions at witknowlearn

Are there any resources available for students who prefer learning in Hindi? Yes, there are resources available in Hindi, such as knowing our numbers meaning in Hindi and knowing our numbers in Hindi, which cover the same topics and concepts as the English versions.

What is a mindmap, and how does it help in learning knowing our numbers in class 6? A mindmap is a visual representation of information that shows the relationships between different concepts. In the context of knowing our numbers in class 6, a mindmap can help students visualize the connections between different ideas, making it easier to recall important concepts and prepare for examinations.

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• CBSE Notes For Class 6
• CBSE Notes Class 6 Maths
• Chapter 1: Knowing Our Numbers

Knowing Our Numbers Class 6 notes - Chapter 1

A number is a mathematical value used to count and measure different objects. With the help of the numbers, we all are able to add, subtract, divide and multiply. Here we will be learning how to compare numbers, expand the number and also learn about the largest and the smallest numbers.

Roman numerals and the Hindu-Arabic numeral system are the two different types of number systems used for writing numbers in many places. We all can see Roman numerals in clocks, page numbers, school timetables, syllabus pages, etc.

Introduction

Introduction to numbers.

• Numbers are arithmetic values.
• Numbers are used to convey the magnitude of everything around us.

Comparing Numbers

Comparing numbers when the total number of digits is different

• The number with the most number of digits is the largest number by magnitude, and the number with the least number of digits is the smallest number. Example: Consider numbers: 22, 123, 9, 345, 3005. The largest number is 3005 (4 digits), and the smallest number is 9 (only 1 digit)

Comparing numbers when the total number of digits is the same

• The number with the highest leftmost digit is the largest number. If this digit also happens to be the same, we look at the next leftmost digit and so on. Example: 340, 347, 560, 280, 265. The largest number is 560 (leftmost digit is 5), and the smallest number is 265 (on comparing 265 and 280, 6 is less than 8).

Ascending and Descending Order and Shifting Digits

Ascending order and descending order.

• Ascending Order: Arranging numbers from the smallest to the greatest.
• Descending Order: Arranging numbers from the greatest to the smallest number.
• Example: Consider a group of numbers: 32, 12, 90, 433, 9999 and 109020. They can be arranged in descending order as 109020, 9999, 433, 90, 32 and 12, and in ascending order as 12, 32, 90, 433, 9999 and 109020.

To know more about Ascending Order, visit here . To know more about descending Order, visit here .

How many numbers can be formed using a certain number of digits?

• If a certain number of digits are given, we can make different numbers having the same number of digits by interchanging the positions of digits.
• Example: Consider 4 digits: 3, 0, 9, 6. Using these four digits, (i) Largest number possible = 9630 (ii) Smallest number possible = 3069 (Since 4 digit number cannot have 0 as the leftmost number, the number then will become a 3-digit number)

Shifting Digits

• Changing the position of digits in a number changes the magnitude of the number.
• Example: Consider the number 789. If we swap the hundredths place digit with the digit at units place, we will get 987 which is greater than 789. Similarly, if we exchange the tenths place with the units place, we get 798, which is greater than 789.

Place Value

• Each place in a number has a value of 10 times the place to its right.
• Example: Consider number 789. (i) Place value of 7 = 700 (ii) Place value of 8 = 80 (iii) Place value of 9 = 9

To know more about Place Value, visit here

Larger Numbers and Estimates

Introducing large numbers.

Large numbers can be easily represented using the place value. It goes in ascending order, as shown below.

• Largest 3 digit number + 1 = Smallest 4 digit number.
• Largest 4 digit number + 1 = Smallest 5 digit number, and so on. Example: 9999 (greatest 4 digit number) + 1 = 10,000 (smallest 5 digit number)
• We can convert every large number in terms of smaller numbers: Remember, 1 hundred = 10 tens 1 thousand = 10 hundreds     = 100 tens 1 lakh         = 100 thousands  = 1000 thousands 1 crore       = 100 lakhs          = 10,000 thousands

Check out Introduction to Large Numbers to learn more about large numbers.

• When there is a very large figure, we approximate that number to the nearest plausible value. This is called estimation.
• Estimating depends on the degree of accuracy required and how quickly the estimate is needed.

To know more about “Estimation of Numbers”, visit here

Estimating Sum or Difference

• Estimations are used in adding and subtracting numbers.
• Example of estimation in addition: Estimate 7890 + 437. Here 7890 > 437. Therefore, round off to hundreds. 7890 is rounded off to       7900 437 is rounded off to      +   400 Estimated Sum =              8300 Actual Sum       =              8327
• Example of estimation in subtraction: Estimate 5678 – 1090.   Here 5678 > 1090. Therefore, round off to thousands. 5678 is rounded off to       6000 1090 is rounded off to    – 1000 Estimated Difference =     5000 Actual Difference       =     4588

Estimating Products of Numbers

• Round off each factor to its greatest place, then multiply the rounded-off factors.
• Estimating the product of 199 and 31: 199 is rounded off to 200 31 is rounded off to 30 Estimated Product = 200 × 30 = 6000 Actual Result = 199 × 31 = 6169
• We follow an order to carry out mathematical operations. It is called as BODMAS rule.

While solving mathematical expressions, parts inside a bracket are always done first, followed by of , then division , and so on.

[(5 + 1) × 2] ÷ (2 × 3) + 2 – 2 = ?

[(5 + 1) × 2] ÷ (2 × 2) + 2 – 2….{Solve everything which is inside the brackets}

= [6 × 2] ÷ 6 + 2 – 2…..{Multiplication inside brackets}

= 12 ÷ 6 + 2 – 2……{Division}

= 2 + 2 – 2……{Addition}

= 4 – 2…….{Subtraction}

Using brackets

• Using brackets can simplify mathematical calculations.
• 7 × 109 = 7 × (100 + 9) = 7 × 100 + 7 × 9 = 700 + 63 = 763
• 7 × 100 + 6 × 100 = 100 × (7 + 6) = 100 × 13 = 1300

For more information on BODMAS, watch the below video

To know more about “BODMAS”, visit here .

Roman Numerals

• Digits 09 in Roman are represented as I, II, III, IV, V, VI, VII, VIII, IX, X
• Some other Roman numbers are : I = 1, V = 5 , X = 10 , L = 50 , C = 100 , D = 500 , M = 1000

Rules for Writing Roman Numerals

• If a symbol is repeated, its value is added as many times as it occurs. Example: XX = 10 + 10 = 20
• A symbol is not repeated more than three times. But the symbols X, L and D are never repeated.
• If a symbol of a smaller value is written to the right of a symbol of greater value, its value gets added to the value of the greater symbol. Example: VII = 5 + 2 = 7
• If a symbol of a smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol. Example: IX = 10 – 1 = 9.
• Some examples : 105 = CV , 73 = LXXIII and 192 = 100 + 90 + 2 = C  XC  II = CXCII

For more information on Roman Numerals, watch the below video

To know more about “Roman Numerals”, visit here . Learn more about the numbers from the topics given below:

Frequently Asked Questions on CBSE Class 6 Maths Notes Chapter 1 Knowing Our Numbers

What is bodmas.

The BODMAS acronym stands for brackets, orders, division, multiplication, addition, subtraction.

What are Roman numerals?

Roman numerals are the symbolic representation of numbers that do not follow a place value system.

What are real numbers?

Real numbers are numbers that include both rational and irrational numbers.

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Knowing our Numbers MCQ Class 6 (Online Available)

Free mcq test, table of content, knowing our numbers test - 29.

Duration: 10 Mins

Maximum Marks: 10

Read the following instructions carefully.

1. The test contains 10 total questions.

2. Each question has 4 options out of which only one is correct .

3. You have to finish the test in 10 minutes.

4. You will be awarded 1 mark for each correct answer.

5. You can view your Score & Rank after submitting the test.

6. Check detailed Solution with explanation after submitting the test.

7. Rank is calculated on the basis of Marks Scored & Time

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The Knowing our Numbers MCQ are those types of questions which can create impact on the preparation level. As the multiple choice questions are designed in such a way that tests a student's memorisation skills, accordingly students can score well in the chapter Knowing our Numbers and can improvise their preparation level. 

Knowing our Numbers Online MCQ for Class 6

The Knowing our Numbers Online MCQ for class 6 is designed by our subject matter experts with proper research. 

Through the Online MCQ, students attempt the questions of the chapter from their comfort zone and can get mind blowing marks in Knowing our Numbers. To attempt objective questions, students need to first complete the chapter. 

How to Attempt the Knowing our Numbers MCQ?

To attempt the Knowing our Numbers MCQ, students need to follow the given steps, those steps are: 

• Visit the Selfstudys website. 
• Click the navigation button. Now click the CBSE, a drop down menu will appear. 

• Now select the MCQ Test from the list. A new page will appear, now select class 6th from the list of classes. 

• Now select Maths from the list of subjects. 
• Again a drop down menu will appear, then select the chapter Knowing our Numbers. 

Features of Knowing our Numbers MCQ 

The Knowing our Numbers MCQ provides an instant feedback to students, this is one of the important features, other features are: 

• Question Analysis is Given: Question analysis of Knowing our Numbers MCQ for class 6 is generally considered to be a summary of correct, wrong and skipped questions which is provided after submitting the online Maths Class 6 MCQ Test. 
• Basic Information About the Performance is Given: In the MCQ of Knowing our Numbers, a basic information about the performance of a student is included as it provides score and rank. According to the score and rank, students can improvise from the next multiple choice questions of the Knowing our Numbers. 
• Time Taken is also Mentioned: After attempting the MCQs of Knowing our Numbers, time taken is mentioned so accordingly students can try to decrease their speed from the next test. 
• Responses are Given: If in case, students got wrong answers in the MCQs for Knowing our Numbers, students can look through the given responses and improve accordingly. 
• Can Attempt Again: Students can attempt the objective questions of Knowing our Numbers as there is an option of attempting the same set of questions once again. 
• Number of Tests are Available: In the website there are a number of objective tests available to practise so that students can get an idea about all levels of questions of the chapter Knowing our Numbers. 

Benefits of the Knowing our Numbers MCQ 

There are benefits of the Knowing our Numbers MCQ, one of the key benefit is that it is very easy to mark and can be scored easily, other benefits are: 

• Clear and Concise: The Knowing our Numbers MCQ for class 6 are very clear and concise so that options and questions are easily understandable. 
• Can Examine Strengths and Weakness: With the help of multiple choice questions of Knowing our Numbers, students can examine their strengths and weaknesses, accordingly they can improve. 
• Can Learn Time Management Skills: It is very important for students to manage their time during the final exam, they can easily manage their time by solving objective questions of the chapter Knowing our Numbers. 
• Provides Feedback: The MCQs of Knowing our Numbers provides instant feedback so that students can make rapid changes in the preparation. 
• Improves Knowledge: Practising objective questions of Knowing our Numbers can help students to improve their grip knowledge towards the chapter. 
• Can Assess the Level of Progress: It is very important for students to regularly look into progress while preparing, they can estimate their progress by solving Knowing our Numbers MCQ. 

A Step-by-Step Guide to Solve Knowing our Numbers MCQ

Students are advised to follow some steps to solve Knowing our Numbers MCQ in a genuine way so that they can score well in it, those tips are: 

• Go Through the Question Carefully: Students are advised to go through the objective questions of Knowing our Numbers like word to word, then only they can get an idea about the question. 
• Go Through the Options: Students need to go through the options so that they can analyse the options and can mark the accurate option in the chapter Knowing our Numbers. 
• Identify the Correct Option: Students need to build a strong foundation for the chapter Knowing our Numbers so that they identify the accurate options. 
• Check All Answers: It is important for students to double check the given answer before submitting the Knowing our Numbers MCQ for Class 6. 
• Review the Explanations: Students need to review the explanations of class 6 Knowing our Numbers so that they can get an idea about the wrong answers. 
• Manage Time Efficiently: While solving the MCQ of Knowing our Numbers, students need to manage their time efficiently, accordingly they can implement it into the final exam. 

What Are the Challenges Faced While Solving Knowing our Numbers MCQ?

Here are some common challenges that can be faced while solving Knowing our Numbers MCQs: 

• Complex Topics: It is one of the main challenges faced by students that is covering the complex topics of the chapter Knowing our Numbers to solve the MCQs.  
• Difficult Questions: Some questions of the Knowing our Numbers MCQ for class 6 may be difficult and it can create a challenge to determine an accurate answer. 
• Similar Options: Some options of the MCQs of Knowing our Numbers can seem to be similar and it may be difficult for students to determine the right answer. 
• Lack of Practice: It is important for students to have a proper practice of multiple choice questions of Knowing our Numbers otherwise they may face challenges in determining right answers. 
• Exam Stress: Exam stress is the most important challenge that may be faced by many students while attempting Knowing our Numbers Objective questions. 
• Misconceptions: Students may face misconceptions or gaps in understanding the concepts of Knowing our Numbers, this may lead to selecting the wrong answers. 

When Is the Best Time to Solve Knowing our Numbers MCQ?

The best time to solve Knowing our Numbers MCQ, may vary from student to student according to their learning goals, some guidelines are discussed below: 

• After Completing the Chapter: Mostly students prefer to solve the Knowing our Numbers MCQ for class 6 after understanding each topic and concept in a proper way.  
• During Revision: Revising is the best step during preparation, so to make the revision process outstanding, students can take the help of MCQs of Knowing our Numbers. 
• One Day Before the Exams: The last 24 hours before the exam is considered to be important as students need to recall the key topics and concepts so it is better to solve multiple choice questions of Knowing our Numbers.  
• During Self Assessment: Students can solve the MCQs of Knowing our Numbers to monitor their progress as it is very important while preparing. 
• To Understand the Concepts: If in case, students face any kind of difficulty in understanding the concepts of Knowing our Numbers, they can start solving the MCQs and can understand the concepts in a better way as the detailed solutions are provided after submitting the online test. 

How to Mark the Right Answers in the Knowing our Numbers MCQ?

Marking the right answers in Knowing our Numbers MCQ is important step to score good marks, steps to mark the right answer are: 

• Read the Given Question Carefully: Students are advised to take their own time while reading the question and can also underline the key information of Knowing our Numbers MCQ. 
• Examine the Options: Students need to examine each and every option of Knowing our Numbers MCQ for class 6 so that they end up selecting the accurate option. 
• Tick the Appropriate Answer: Students may feel confused while marking the appropriate answer but they need to be very attentive while selecting a response, this can be easily overcome by completing the Knowing our Numbers in a proper way. 
• Review Performance: Before submitting the multiple choice questions of Knowing our Numbers, students need to review their performance that is to double check the given answers and correct if required.
• Seek Feedback: Students can seek feedback from their teachers after attempting the MCQs of Knowing our Numbers, and accordingly they can improve their performance in the next test. Although, Selfstudys online MCQ Test of Class 6 Knowing our Numbers also provides feedback, but consulting with teachers can help in getting better insights of performance.

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What to know about the crisis of violence, politics and hunger engulfing Haiti

A long-simmering crisis over Haiti’s ability to govern itself, particularly after a series of natural disasters and an increasingly dire humanitarian emergency, has come to a head in the Caribbean nation, as its de facto president remains stranded in Puerto Rico and its people starve and live in fear of rampant violence. 

The chaos engulfing the country has been bubbling for more than a year, only for it to spill over on the global stage on Monday night, as Haiti’s unpopular prime minister, Ariel Henry, agreed to resign once a transitional government is brokered by other Caribbean nations and parties, including the U.S.

But the very idea of a transitional government brokered not by Haitians but by outsiders is one of the main reasons Haiti, a nation of 11 million, is on the brink, according to humanitarian workers and residents who have called for Haitian-led solutions. 

“What we’re seeing in Haiti has been building since the 2010 earthquake,” said Greg Beckett, an associate professor of anthropology at Western University in Canada. 

What is happening in Haiti and why?

In the power vacuum that followed the assassination of democratically elected President Jovenel Moïse in 2021, Henry, who was prime minister under Moïse, assumed power, with the support of several nations, including the U.S. 

When Haiti failed to hold elections multiple times — Henry said it was due to logistical problems or violence — protests rang out against him. By the time Henry announced last year that elections would be postponed again, to 2025, armed groups that were already active in Port-au-Prince, the capital, dialed up the violence.

Even before Moïse’s assassination, these militias and armed groups existed alongside politicians who used them to do their bidding, including everything from intimidating the opposition to collecting votes . With the dwindling of the country’s elected officials, though, many of these rebel forces have engaged in excessively violent acts, and have taken control of at least 80% of the capital, according to a United Nations estimate. 

Those groups, which include paramilitary and former police officers who pose as community leaders, have been responsible for the increase in killings, kidnappings and rapes since Moïse’s death, according to the Uppsala Conflict Data Program at Uppsala University in Sweden. According to a report from the U.N . released in January, more than 8,400 people were killed, injured or kidnapped in 2023, an increase of 122% increase from 2022.

“January and February have been the most violent months in the recent crisis, with thousands of people killed, or injured, or raped,” Beckett said.

Armed groups who had been calling for Henry’s resignation have already attacked airports, police stations, sea ports, the Central Bank and the country’s national soccer stadium. The situation reached critical mass earlier this month when the country’s two main prisons were raided , leading to the escape of about 4,000 prisoners. The beleaguered government called a 72-hour state of emergency, including a night-time curfew — but its authority had evaporated by then.

Aside from human-made catastrophes, Haiti still has not fully recovered from the devastating earthquake in 2010 that killed about 220,000 people and left 1.5 million homeless, many of them living in poorly built and exposed housing. More earthquakes, hurricanes and floods have followed, exacerbating efforts to rebuild infrastructure and a sense of national unity.

Since the earthquake, “there have been groups in Haiti trying to control that reconstruction process and the funding, the billions of dollars coming into the country to rebuild it,” said Beckett, who specializes in the Caribbean, particularly Haiti. 

Beckett said that control initially came from politicians and subsequently from armed groups supported by those politicians. Political “parties that controlled the government used the government for corruption to steal that money. We’re seeing the fallout from that.”

Many armed groups have formed in recent years claiming to be community groups carrying out essential work in underprivileged neighborhoods, but they have instead been accused of violence, even murder . One of the two main groups, G-9, is led by a former elite police officer, Jimmy Chérizier — also known as “Barbecue” — who has become the public face of the unrest and claimed credit for various attacks on public institutions. He has openly called for Henry to step down and called his campaign an “armed revolution.”

But caught in the crossfire are the residents of Haiti. In just one week, 15,000 people have been displaced from Port-au-Prince, according to a U.N. estimate. But people have been trying to flee the capital for well over a year, with one woman telling NBC News that she is currently hiding in a church with her three children and another family with eight children. The U.N. said about 160,000 people have left Port-au-Prince because of the swell of violence in the last several months. 

Deep poverty and famine are also a serious danger. Gangs have cut off access to the country’s largest port, Autorité Portuaire Nationale, and food could soon become scarce.

Haiti's uncertain future

A new transitional government may dismay the Haitians and their supporters who call for Haitian-led solutions to the crisis. 

But the creation of such a government would come after years of democratic disruption and the crumbling of Haiti’s political leadership. The country hasn’t held an election in eight years. 

Haitian advocates and scholars like Jemima Pierre, a professor at the University of British Columbia, Vancouver, say foreign intervention, including from the U.S., is partially to blame for Haiti’s turmoil. The U.S. has routinely sent thousands of troops to Haiti , intervened in its government and supported unpopular leaders like Henry.

“What you have over the last 20 years is the consistent dismantling of the Haitian state,” Pierre said. “What intervention means for Haiti, what it has always meant, is death and destruction.”

In fact, the country’s situation was so dire that Henry was forced to travel abroad in the hope of securing a U.N. peacekeeping deal. He went to Kenya, which agreed to send 1,000 troops to coordinate an East African and U.N.-backed alliance to help restore order in Haiti, but the plan is now on hold . Kenya agreed last October to send a U.N.-sanctioned security force to Haiti, but Kenya’s courts decided it was unconstitutional. The result has been Haiti fending for itself. 

“A force like Kenya, they don’t speak Kreyòl, they don’t speak French,” Pierre said. “The Kenyan police are known for human rights abuses . So what does it tell us as Haitians that the only thing that you see that we deserve are not schools, not reparations for the cholera the U.N. brought , but more military with the mandate to use all kinds of force on our population? That is unacceptable.”  

Henry was forced to announce his planned resignation from Puerto Rico, as threats of violence — and armed groups taking over the airports — have prevented him from returning to his country.  

Now that Henry is to stand down, it is far from clear what the armed groups will do or demand next, aside from the right to govern. 

“It’s the Haitian people who know what they’re going through. It’s the Haitian people who are going to take destiny into their own hands. Haitian people will choose who will govern them,” Chérizier said recently, according to The Associated Press .

Haitians and their supporters have put forth their own solutions over the years, holding that foreign intervention routinely ignores the voices and desires of Haitians. 

In 2021, both Haitian and non-Haitian church leaders, women’s rights groups, lawyers, humanitarian workers, the Voodoo Sector and more created the Commission to Search for a Haitian Solution to the Crisis . The commission has proposed the “ Montana Accord ,” outlining a two-year interim government with oversight committees tasked with restoring order, eradicating corruption and establishing fair elections. 

For more from NBC BLK, sign up for our weekly newsletter .

CORRECTION (March 15, 2024, 9:58 a.m. ET): An earlier version of this article misstated which university Jemima Pierre is affiliated with. She is a professor at the University of British Columbia, Vancouver, not the University of California, Los Angeles, (or Columbia University, as an earlier correction misstated).

Patrick Smith is a London-based editor and reporter for NBC News Digital.

Char Adams is a reporter for NBC BLK who writes about race.