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Topic: Properties of Rational Numbers.
Published by Aaradhya Kushare Modified over 2 years ago
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Presentation on theme: " Topic: Properties of Rational Numbers."— Presentation transcript:
![Presented By : Aaradhya Annasaheb Kushare Std: 8 th | Div.: A | Roll No: 01 Topic: Properties of Rational Numbers Presented By : Aaradhya Annasaheb Kushare Std: 8 th | Div.: A | Roll No: 01 Topic: Properties of Rational Numbers](https://images.slideplayer.com/116/18094143/slides/slide_1.jpg)
Properties of Real Numbers. Closure Property Commutative Property.
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Answers to page 74 #22-31.
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Objectives: Standard 15.0 I will find the LCM (Least Common Multiple) of the given denominators I will simplify the rational expressions by using the LCM.
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A whole number or the quotient of any whole numbers, excluding zero as a denominator A whole number or the quotient of any whole numbers, excluding zero.
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PROPERTIES REVIEW!. MULTIPLICATION PROPERTY OF EQUALITY.
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RATIONAL NUMBERS RATIONAL NUMBERS The numbers of the form p/q (q=0) is called a RATIONAL NUMBER. Examples: 5/7 6/8 -6/9 etc. RATIONAL NUMBERS. PROPERTIES.
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Counting numbers are called natural numbers. It is denoted by N. N=(1,2,3,4………………)
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Rational Expressions.
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R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.
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Example ANSWER x(x+1). Example Example ANSWER 1.
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Simplifying 5.1 – Basic Prop. & Reducing to Lowest Terms.
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Chapter 7: Rational Algebraic Functions Section 7-8: Sums and Differences of Rational Expressions.
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Lesson 2-6. Warm-up You have 10 minutes to complete the half-sheet on multiplication and division of rational functions.
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Multiplication and Division Equations SWBAT apply the division property of equality to solve algebraic equations; apply the multiplication property of.
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Lesson 8-2: Adding and Subtracting Rational Expressions.
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By Richard Castillo. Definition The operation that reverses the effect of another operation.
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Solving Linear Equations with Justification of Properties
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One step equations Add Subtract Multiply Divide When we solve an equation, our goal is to isolate our variable by using our inverse operations. What.
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Algebra Properties Definition Numeric Example Algebraic Example.
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Warm up: solve for x x – (-2) = -13. Inverse Operations LEQ: What are inverse operations and how do we use them to solve one step equations?
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Rational & Irrational Numbers
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Math Subject for Middle School - 7th Grade: Rational Number
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Making Math accessible and fun can be a challenge, but it’s by no means an impossible task: with this template for seventh grade students, rational numbers can become as interesting as any other subject! Its look is inspired in that of a file folder, and the barrage of colors on display in every slide keeps things lively while you explain the finer points of middle school Math. Simply add your own content and you’ll have something that’s much more than the sum of its parts!
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Rational Numbers
51 -24, -16, -14, -13, -5, 12, 15. 50) 32,-26,-24,-18, -16,-5. 49 -23,-17,0,4. 48 17,-12,5,13 ... replace each with =, , or 5) 2 6. 5) 3 -1. 3) -9 ... – powerpoint ppt presentation.
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- Comes from the word ratio
- Any number that can be expressed as the ratio of two integers
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Rational and Irrational Numbers
Jul 29, 2014
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Rational and Irrational Numbers. Rational Numbers. A real number that can be written as: A fraction or ratio of two integers - A repeating 0.5757... 1.2 or terminating decimal 0. 45 An integer - 25.
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Presentation Transcript
Rational Numbers • A real number that can be written as: • A fraction or ratio of two integers - • A repeating 0.5757... 1.2 or terminating decimal 0. 45 • An integer - 25 A number must be written in one of these three forms in order to be classified as RATIONAL
Squares • Another example of a RATIONAL number is a perfect square and square root. • When a number is multiplied with itself, the product is the SQUARE of the number. • A square is written with the exponent 2 (9 x 9 = 81) • Perfect Squares are the product of any number multiplied with itself
Table of Perfect Squares
Square Roots * This symbols asks “ what is the square root?” square root symbol • To find the SQUARE ROOT of a number , work backwards and divide the SQUARE by its FACTOR. = 25 = 5 SQUARE SQUARE ROOT (5 is a factor of 25)
Table of Square Roots
Irrational Numbers • A real number that can be written as: • A decimal that does not repeat 0.34332 • A decimal that does not terminate , or end • A number that is not a perfect square * An Irrational Number cannot be written as a ratio of 2 integers
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Making Sense of Rational and Irrational Numbers. Objectives: Identify number sets. Write decimals as fractions. Write fractions as decimals. MONDAY. STARTER http://vimeo.com/5793093 LESSON: MAKING SENSE OF RATIONAL AND IRRATIONAL NUMBERS
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Rational & Irrational Numbers. Rational Numbers. The real number system consists of rational and irrational numbers. Rational numbers can be expressed in fractional form, , where a (the numerator) and b (the denominator) are both integers and b = 0.
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Rational and Irrational Numbers. Monday, September 27 th , 2010. The set of real numbers consists of the set of rational numbers and the set of irrational numbers. Real Numbers. Rational numbers. Irrational numbers. Integers. Whole numbers.
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Rational & Irrational Numbers. Decimal Vocabulary. Terminating decimals end. Example: Repeating decimals repeat a sequence of numbers without ending. Example: Non-terminating, non-repeating d ecimals never end or repeat. Example: . Rational Numbers.
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Rational and Irrational Numbers. Rational Numbers. Can be put in fractional form The decimal form of the number either terminates (ends) or repeats. Counting numbers , whole numbers , integers and non-integers are all rational . Rational Numbers. Examples:
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Rational and Irrational Numbers. Learning Target: Students can identify numbers as being rational or irrational. All REAL numbers are made up of RATIONAL & IRRATIONAL numbers…. Rational Numbers.
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1. Rational and Irrational Numbers
1. Rational and Irrational Numbers. Rational Numbers. Numbers that can be written in the form where a and b are integers and . NOTE: Rational numbers as DECIMALS repeat or terminate. Irrational Numbers. Any number that can NOT be made into a fraction with integers.
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NS 1.5 Rational and Irrational Numbers. 7 th Grade Intervention Miss. Burrell. Do Now. Copy the question Underline important information Circle Key words What is the problem asking you to do? (Multiply, Divide, add, subtract) How do you know Show your work! Check your work!
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Scientific Notation Rational and Irrational Numbers
Scientific Notation Rational and Irrational Numbers. Scientific Notation. 4.632 x 10 6. Exponent is 6. Coefficient is 4.632. Baseis 10. Scientific Notation Rules. 4.632 x 10 6. The coefficient is always larger than or equal to 1, and smaller than 10. The base is always 10.
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Rational and Irrational Numbers. Classifying Numbers. Numbers can be classified For instance, we can pick out all of the numbers that are divisible by 2. They are classified as even numbers. We can also classify numbers in other ways. Rational and Irrational.
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Rational and Irrational Numbers. Learning Outcomes I can distinguish between rational and irrational numbers I can see the significance of recurring and non-recurring decimals I can understand what is meant by a surd I can use the rules of surds ( eg. √a x√b=√ab)
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L E S S O N. 9 2. Recall that a rational number is a number that can be written as a quotient , where a and b are integers and b ≠ 0. If n is a positive integer and is not a perfect square, then n and – n are irrational numbers. a b. Rational and Irrational Numbers.
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Rational and Irrational Numbers. Calculator Connection. Use your calculator to find decimal equivalents Look for differences and similarities between the groups. When you are done and your friends are still working brainstorm:
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Making Sense of Rational and Irrational Numbers. Objectives: Identify number sets. Write decimals as fractions. Write fractions as decimals. Real Numbers. Rational numbers. Irrational numbers. Integers. Whole numbers.
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Rational and Irrational Numbers. Flash Cards. 19 11. 36. 5. 59. 0.84. 7.123…. ⅔. 2 8. 15 4. 2. -35. 3 9. 0. 12.888. 17. 9 47. 81. 2. 101. 0.253. 158.222…. ⅘. 5 82. 22 8. 7. -109. 7 100. -⅛. 8.235.
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Rational and Irrational Numbers 2
Rational and Irrational Numbers 2. Projector Resources. Poster with Headings. Instructions for Always, Sometimes or Never True. Choose a statement. Try out different numbers. Write your examples on the statement card.
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Rational and Irrational Numbers. Rational and Irrational Numbers Essential Question. How do I distinguish between rational and irrational numbers?. Vocabulary. real number irrational number. Real Numbers. Rational numbers. Irrational numbers. Integers. Whole numbers.
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Ordering Rational & Irrational Numbers
Ordering Rational & Irrational Numbers. Ordering Rational & Irrational Numbers. When ordering a group of rational & irrational numbers, 1.) change each number to its decimal format 2.) place the decimals in order
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a. b. 4. 2. 2. 6. =. 6. =. 5. 3. 1. 8. 27. 0.7. =. 3. 10. 3456. 2.7. 34.56. 1. 5. 1. 3. 7. =. =. 3. 0.625. =. -. -3. 100. =. 8. 10. 7. 11. 3. =. 0.142857. 1. 0.3. =. =. 0.27. Rational and Irrational Numbers. Rational Numbers.
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Rational and Irrational Numbers. Real Numbers. Irrational Numbers. Rational Numbers. Irrational Numbers. Decimals. Non-Perfect Squares. Irrational Numbers. Decimals. Never Terminates Never Repeats Goes on Forever. 0.4567… -2.8191… -0.3322… 5.2468…. Irrational Numbers.
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Rational Numbers. May 8, 2014 •. 108 likes • 58,117 views. Manisha Keim. Rational Numbers PPT for Class VIII, Properties of Rational Numbers: Commutative, Distributive, Associative, etc. Read more. 1 of 8. Rational Numbers - Download as a PDF or view online for free.
Dividing Rational Numbers. When dividing a decimal by a decimal, multiply both numbers by a power of 10 so you can divide by a whole number. To decide which power of 10 to multiply by, look at the denominator. The number of decimal places represents the number of zeros after the 1 in the power of 10. 13.2.
This document discusses properties of operations on rational numbers. It covers: 1) Addition of rational numbers, including having the same or different denominators. Properties include closure, commutativity, and additive identity. 2) Subtraction of rational numbers and its properties, noting the difference property and lack of an identity ...
Rational Numbers PPT for Class VIII, Properties of Rational Numbers: Commutative, Distributive, Associative, etc. Rational numbers ppt. ... Keynote presentation to the Educational Leaders hui Kōkiritia Marautanga held in Auckland on 26 June 2024. Provides a high level overview of the history and development of the science of learning, and ...
Rational Numbers - Week 5. Please look at each slide. Be sure to click on each link. Each link has a video or a game to help learn this standard. There will be practice problems each day for students (slide 2) The Cool Downs will be used as our task this week. Lesson 3 - Monday and Tuesday.
Presentation Transcript. Rational Numbers • The integers which are in the form of p/q where q is not equal to 0 are known as rational numbers. Examples - 5/8; -3/14; 7/-15; -6/-11 • Natural numbers - They are counting numbers. • Integers - Natural numbers, their negative and 0 form the system of integers. • Fractional numbers - the ...
Free Google Slides theme, PowerPoint template, and Canva presentation template. Get your students excited about math with our engaging PowerPoint and Google Slides template, perfect for middle school educators! This presentation template makes teaching the concepts of rational and irrational numbers not just easy, but super interactive.
Rational Numbers All rational numbers are written as a RATIO. Example 1. During a recent regular season, a Texas Ranger baseball player had 126 hits and was at bat 399 times. Write a fraction in the simplest form to represent the ratio of the number of hits to the number of at bats. =. Rational Numbers.
Download ppt "Rational Numbers Mathematics- Grade 7." Module Objectives Know the meaning, standard form and equivalents of rational numbers, Develop the skill of representing the rational numbers on a number line, Know the comparison of rational numbers, finding rational numbers between any two rational numbers, Know the operations on rational ...
4 What is a rational number. 5 Properties of addition of rational numbers LCM = 12 LCM = 24. 6 Properties of addition of rational numbers. 10 Properties of subtraction of rational numbers. 14 5] Existence of additive inverse of a rational number :- Inverse of subtraction does not exist. 15 Properties of multiplication of rational numbers.
Rational Numbers • The term, Rational Numbers, refers to any number that can be written as a fraction. • This includes fractions that are reduced, fractions that can be reduced, mixed numbers, improper fractions, and even integers and whole numbers. • An integer, like 4, can be written as a fraction by putting the number 1 under it.
Rational and Irrational Numbers lesson plans. Free Clipart. Free Templates. Lots of Lessons - Math. Pete's PowerPoint Station is your destination for free PowerPoint presentations for kids and teachers about Rational & Irrational Numbers, and so much more.
Rational numbers ppt - Download as a PDF or view online for free. Rational numbers ppt - Download as a PDF or view online for free ... Keynote presentation to the Educational Leaders hui Kōkiritia Marautanga held in Auckland on 26 June 2024. Provides a high level overview of the history and development of the science of learning, and ...
Transcript and Presenter's Notes. Title: Operations with Rational Numbers. 1. Operations with Rational Numbers. 2. Any number that can be written in the form , where m and n are. integers and n 0, is called a rational number. In other words, fractions.
Free Google Slides theme, PowerPoint template, and Canva presentation template. Making Math accessible and fun can be a challenge, but it's by no means an impossible task: with this template for seventh grade students, rational numbers can become as interesting as any other subject! Its look is inspired in that of a file folder, and the ...
Rational Numbers PPT - Free download as Powerpoint Presentation (.ppt / .pptx), PDF File (.pdf), Text File (.txt) or view presentation slides online. The document discusses rational numbers and real numbers. It states that real numbers include all rational numbers, which are numbers that can be represented as fractions like integers and fractions, as well as irrational numbers like square ...
Give reasons for your answers — Every natural number is a whole number. 1. 2. Every integer is a whole number. 3. Every rational number is a whole number Answer: 1. True 2. False, because -5, -6 are integers but not whole numbers 3. False, because h, 3/5 or -4/9 are not whole numbers.
REAL RATIONAL NUMBERS (as opposed to fake numbers?) and Properties Part 1 (introduction) STANDARD: AF 1.3 Apply algebraic order of operations and the commutative ... - A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 67b6b3-ZDg5Z ... The PowerPoint PPT presentation: "REAL RATIONAL NUMBERS" is the ...
Rational Numbers. Number: Rational Numbers & Indices. By the end of this lesson you will be able to explain and calculate the following: A Rational Number An Irrational Number Order of Operations. Rational Numbers. Real Numbers. We use numbers such as integers, fractions and decimals every day. 1.03k views • 22 slides
Topic - Rational Numbers By- Srinivas, Sri Ragavan, Vignesh, Syed & Shreeram Introduction By - Shreeram Introduction Rational Numbers are the numbers that can be expressed in the form of p/q, where p and q are integers and is q not equal to zero. ... What are AI writing tools and how can they help with making presentations? May 22, 2024 ...
Lesson 1-1 Real Numbers and Operations - Lesson 1-1 Real Numbers and Operations Objectives: 8N2, 7N6, 9N2 (Do not write) Show that a number is rational and distinguish between rational and irrational numbers | PowerPoint PPT presentation | free to view
Rational Numbers PPT for Class VIII, Properties of Rational Numbers: Commutative, Distributive, Associative, etc. ... There will also be a presentation on Essay #2 and an in-class writing assignment. The document provides instructions for participating in teams, earning points, and guidelines for changing team members. ...
Rational Numbers • A real number that can be written as: • A fraction or ratio of two integers - • A repeating 0.5757... 1.2 or terminating decimal 0. 45 • An integer - 25 A number must be written in one of these three forms in order to be classified as RATIONAL. Squares • Another example of a RATIONAL number is a perfect square and ...