place value rounding homework

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Place Value Worksheets Hub Page

Welcome to our Place Value Worksheets area.

Here you will find a wide range of place value activites and worksheets which will help your child gain a better understanding of how our number system and place value works.

You can also take a look at our printable place value charts or our place value sheets with decimals or BIG numbers over a million!

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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Place Value Worksheets and Resources

On this page you will find link to our range of place value resources, including online practice, charts and worksheets.

Quicklinks to Place Value ...

• Online Place Value Practice
• Place Value Charts and Number Grids
• Place Value Tens and Ones

Place Value up to Hundreds

Place value up to thousands.

• Big Number Place Value
• Negative Number Place Value
• Decimal Place Value
• Randomly Generated Place Vaue Worksheets

Scientific Notation Support

• Absolute Value Worksheets

Definition of Place Value

So what exactly is place value?

Place value refers to the value of the digits in any given number. In the number 482 for example, the value of the digit '8' is 80 and the value of the digit '4' is 400.

At a more advanced level, in the number 36.57, the value of the digit '5' is 0.5 and the value of the digit '7' is 0.07.

In our number system, each time you move a place to the right, the value of the digit gets ten times bigger. Each time you move a place to the left, the value of the digit gets ten times smaller.

• Definition of Place Value Sheet
• PDF version

Place Value Learning

Children start their learning journey in Math when they start to count. When they are confindent counting small groups of objects and getting beyond 10, they then begin to develop their understanding of place value up to 100 and beyond.

When they have understood how place value with whole numbers works, they can start learning about place value with decimals.

Our selection of free math place value worksheets has been split into different areas below so that you can more easily find the right sheet for your child.

Online Place Value Practice Zone

In our Math Place Value Practice area, you can practice your place value skills, adding thousands, hundreds, tens and ones. You can even use this area for adding on decimals: tenths and hundredths.

You can select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Free Place Value Practice Zone 1 - Digit Values
• Math Place Value Practice Zone 2 - Combining

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Place Value Charts & Number Grids

Place value charts.

We have a selection of place value charts which are great for helping to develop understanding of place value.

The charts cover a range of numbers from billions to millionths.

They are a good supporting resource for children who are finding place value difficult.

We also have place value grids to help children convert to and from expanded form to support place value learning.

They are also a good way to get children to become familiar with how the number system works.

• Place Value Charts (whole numbers)
• Decimal Place Value Charts
• Place Value Grids

Number Grids

These printable grids will help your child learn to read and write numbers and learn the number sequence.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.

1st Grade Place Value Charts

• Free Number Chart 1-30
• Number Chart to 50
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Missing Number Chart 1-100
• Number Grid up to 200
• Number Grid up to 300

Place Value Games

Here you will find our selection of place value games.

We have a range of different games for helping to teach place value from 2-digit games up to decimal place value games.

There are a range of games are suitable for all ages, from kindergarten and upwards.

• Games to teach Place Value

Place Value and Number Sense Tens and Ones

Here you will find our selection of 2 digit Place Value worksheets.

Using these Math Worksheets Place Value will help your child to:

• learn their place value to 100;
• understand the value of each digit in a 2 digit number;
• Round numbers up to 100 to the nearest 10
• learn to read and write numbers to 100.
• Place Value Worksheets for Kindergarten
• Place Value to 20 Worksheets
• Place Value Ones and Tens Models
• Place Value Tens and Ones (standard and expanded form)
• Basic Math Worksheets - Ordering numbers 2 Digits
• Rounding to the nearest 10 Worksheets
• Add and Subtract 10 Worksheets

Here you will find our selection of 3 digit Place Value worksheets.

• learn their place value with 3 digit numbers;
• understand the value of each digit in a 3 digit number;
• learn to read and write numbers up to 999.
• 2nd Grade Place Value Models up to hundreds
• Second Grade Place Value Worksheets 3 Digits
• Ordering numbers worksheets up to 999

Here you will find our selection of Place Value up to 4 Digits worksheets.

Using these sheets will help your child learn to:

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• learn to use standard and expanded form with 4 digit numbers.
• Place Value Models 4 Digits
• Place Value 4 Digit Numbers Worksheets (conversion)
• Ordering Numbers up to Thousands Sheets

Place Value BIG Numbers

Welcome to our BIG Number Place Value area.

Here you will find sheets to help your child learn their place value to 10 million.

• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
• Solve place value problems.

All the 4th grade math worksheets in this section support elementary math benchmarks.

• 4th Grade Place Value up to 6 digits
• 5th Grade Place Value Worksheets to 10 million
• 5th Grade Ordering Large Numbers up to 100 million

Place Value Negative Numbers

• learn to order negative numbers;
• learn to position numbers from -10 to 10 on a number line.
• ordering and comparing rational numbers
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Place Value Decimals

Here you will find our selection of Place Value involving Decimals with up to 2 decimal places (2dp).

• learn their place value with decimals up to 2dp;
• understand the value of each digit in a decimal number;
• learn to read and write numbers with up to 2dp.
• Decimal Place Value Worksheets to 2dp
• Place Value to 3dp
• Ordering Decimals Worksheets

Rounding Numbers Worsheets

As well as our random number worksheet generator, we have a wide range of graded rounding worsheets.

These sheets are great for supporting less able students, or for giving an extra challenge to more able students.

Using the link below will take you to our Rounding numbers hub page where you will find links to all our rounding numbers worksheets.

• Rounding Numbers Hub page

Place Value Random Worksheet Generator

Here is our generator for generating your own place value worksheets.

Our generator will create the following worksheets:

• digit values
• comparing numbers
• converting between standard and expanded form

These sheets involve saying the value of the underlined digit.

• Digit Place Value Worksheets
• Standard Form to Expanded Form Worksheets
• Expanded Form to Standard Form Worksheets
• Rounding Off Numbers Worksheets
• Greater Than Less Than Worksheets

We have a selection of worksheets designed to help students learn about asbolute value.

Topics covered include:

• absolute value and opposite numbers
• comparing absolute values
• absolute value arithmetic
• solving absolute value equations

Our Convert to scientific notation calculator will take a number and convert it to scientific notation and e-notation.

It shows you all the working out along the way too.

• Convert to Scientific Notation Calculator
• Standard Notation to Scientific Notation Support page
• Scientific Notation to Standard Notation support page

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• Place Value

The Complete Guide to Place Value Lessons

By Mary Montero

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I  always  start the year with teaching place value, whether I’m teaching 2nd, 3rd, 4th, or 5th grade! I compiled a ton of ideas, an introductory lesson, essential skills, book list, freebies and more into one gigantic (and FREE!) PDF Guide to help you plan your place value lessons. This massive freebie is 27 pages long and includes Place Value and Rounding Anchor Charts, Place Value Mystery Number Task Cards, A Fun Introductory Activity, and a Place Value Choice Board. I have also linked half a dozen extra freebies inside it!

Download Everything You Need– for free!

This free PDF guide will allow you to have all of the place value resources right at your fingertips.

Place Value Standards

An understanding of the place value system is the backbone of success in math. The skills required of students progress as they move through the grade levels, but many students require a review of prior grade level skills well beyond the age at which they appear in the standards.

Standards and Skills – Numbers and Operations in Base Ten – Place Value Understanding

Note: I have only included place value-specific skills. Operation strategies based on place value skills are not included.

Teacher Tip: Use these standards for vertical alignment and differentiation. For example, if I’m teaching gifted 3rd graders, not only do I dive more deeply into grade level standards, but I look at the next grade level standard to accelerate their learning as well. For intervention, I typically look back at the previous grade level standards to be sure there are no gaps in knowledge preventing students from moving forward.

2nd Grade Expectations:

• Understand the value of the digits in a three-digit number
• Count within 1000; skip count by 5s, 10s, and 100s
• Read and write numbers to 1000 using base-ten numbers , names , and expanded form .
• Compare two three-digit numbers using >, <, and =

3rd Grade Expectations:

• Use place value understanding to round to nearest 10 or 100

4th Grade Expectations:

• Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
• Read and write multi-digit whole numbers using bas—ten numerals, number names, and expanded form
• Compare two multi-digit numbers using >,<, and =
• Use place value understanding to round multi-digit whole numbers to any place

5th Grade Expectations:

• Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• Use whole number exponents to denote powers of 10.
• Read, write, and compare decimals to thousandths.
• Use place value understanding to round decimals to any place.

Lesson Introduction

Place value suggested introduction lesson: 3rd-5th grade.

Note: This lesson plan assumes a basic understanding of the place value system from 1st and 2nd grade standards. This lesson is relevant to grades 3rd-5th. For 5th grade, begin the lesson using a whole number with a decimal.

1. Introduction and Hook

Place a two or three-digit number on the board using magnetic numbers (you can also just write the number). Make sure all the digits in the number are different. Ask students to tell you everything they can about the number they see on the board. Write down EVERYTHING they say, even if it is not accurate. Their statements typically start out basic, but as you push them a little bit more, they will be able to give more and more information. Be sure to ask them about all the different ways the number can be written, if they don’t produce this themselves. If there are any misconceptions that you notice right away, place a star next to them and tell students you’ll come back to them.

2. Base Ten Exploration and Place Value Discs

• At this point, students should have already shown the multiple ways to write the number, including using base ten blocks. Have them use base ten blocks ( which they should be familiar with from previous grades ) to represent the number. 3rd Graders may find a place value mat helpful.
• For older students (4-5th grade), ask them to show ANOTHER way to represent the number using base ten blocks. These are called equivalent groupings . For example, if the number is 125, they can swap out their hundreds block for ten extra tens and represent the number with 12 tens and 5 ones.
• Then, give students place value discs and have them place the appropriate discs under the base ten blocks. Don’t skip this step. Place value discs are an amazing tool, but since the discs are all the same size, it’s critical that students are able to see the conceptual size difference between values using the base ten blocks.
• Repeat this process with several numbers, using place value specific language even if you haven’t specifically introduced it yet. (Example: The digit seven is in the tens place, and its value is seventy.)
• _____ cube = _____ flats = ______ rods = ______ units

3. Anchor Chart, Direct Instruction, and Interactive Notebooks

At this point, I tell students that we are going to be reviewing and learning important place value skills. I use the anchor chart (see page 6) and interactive notebooks to complete this portion of the lesson. This is when our conceptual math vocabulary comes into play, including the meaning of PLACE, VALUE, DIGIT, and NUMBER. This is also when I review all the ways to write a number. This takes multiple days!

Suggested Lesson Sequence

Place value lessons suggested skill sequence: 3rd-5th grade.

Note: This is a suggested sequence in which I teach my students these skills. This is a 12-day sequence, but I typically spend about 3 full weeks on these skills in grades 3 and 5 and about two weeks in fourth grade.

Day 1-2: Place Value Introduction Lesson

Between the introduction, base ten block and place value disk activity, and anchor chart direct instruction, this will likely take 2-3 days and serve as a solid foundation of place value skills.

Day 3-4: Place Value Skill Reinforcement

By this point, you will have likely introduced the major skills that are addressed during the direct instruction portion. I spend at least 1-2 days reinforcing these skills, and I typically use my place value flipbook, task cards, and other assorted activities. I also spend a GREAT deal of time working on whiteboards practicing writing numbers, converting to different forms, reading numbers, modeling numbers, etc. CLICK HERE TO VIEW MY PLACE VALUE FLIPBOOK

Day 5-6: Rounding & Estimating

Lessons are includes in the free PDF! CLICK HERE TO VIEW MY ROUNDING ON A NUMBER LINE CARDS

Day 7: Comparing & Ordering Numbers

Lessons are includes in the free PDF!

Day 8-9: Small Group Review, Enrichment, and Remediation

During this time, I do small, mini lessons to reinforce a variety of skills. Then, I have students work in centers for practice while I work with small groups on enrichment or remediation.

Day 10 & 11: Place Value Detectives Cumulative Project.

CLICK HERE TO VIEW PLACE VALUE DETECTIVES

Day 12: Assessment

CLICK HERE FOR THE FREE ASSESSMENT OPTIONS

Place Value Anchor Charts

I highly recommend creating a template for this anchor chart and FILLING IT IN with you students during the lesson. The blue digits that create the large number are sticky notes so that we can create multiple numbers using our place value chart. Click here to grab the template for free .

Important Considerations During Direct Instruction

• Be sure to teach the specifics of writing numbers in word form, including commas, place names, hyphens, and the absence of the word “and” if a decimal is not present.
• Give students plenty of practice with zeros appearing in a variety of places and formats.
• Verbally saying a large number for students to write in standard form.
• Showing a model using base ten blocks or disks for students to write in word form, standard form, or expanded form.
• Writing a number in expanded form for students to represent using base ten blocks, standard form, or word form.
• Giving clues such as: A number with a 3 in the tens place, a 2 in the hundreds place, and a 1 in the ones place OR A number with 3 hundreds, 7 tens, and 6 ones.

Exposure Checklist

It is vital that students can work with place value skills in a variety of ways. I have compiled a list of visuals, skills, and vocabulary to incorporate, as well as questions to pose to students as you plan your place value unit. You can find this as part of the free PDF download.

Skill-Based Mini Lessons

The free PDF also includes many place value supplemental activity and lesson ideas.

Place Value Book List

Teacher Tip: Use The Guinness Book of World Records (any edition) to help students practice place value skills. Give them criteria to hunt for specific numbers. For example, have students find a record with a six in the tens place.

I also created an Amazon Affiliate List of my favorite place value books . The free PDF includes activity suggestions to use with each book to make planning your place value lessons easier!

Related Blog Posts

These related posts are also great reads before your next place value unit!

• Teaching Place Value
• Decimal Place Value
• Math Tips To Start The Year Strong
• Free Place Value Activity
• Must-Have Math Manipulatives

Related Resources

• Place Value Task Card Bundle
• Place Value Flipbook
• Place Value Detectives
• Place Value Topple Blocks
• Place Value Puzzlers
• Place Value Mystery Numbers
• Place Value Error Analysis
• The Place Value Candy Rush
• Place Value Millions and Billions Task Cards

Mary Montero

I’m so glad you are here. I’m a current gifted and talented teacher in a small town in Colorado, and I’ve been in education since 2009. My passion (other than my family and cookies) is for making teachers’ lives easier and classrooms more engaging.

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Place Value Worksheets

Printable worksheets on place value, reading and writing large numbers, ordering numbers, expanded form, and digit values. Choose the number of digits below and you'll be forwarded to a page with a selection of worksheets.

This page offers a large collection of place value worksheets with 2-digit numbers. Skills include finding the value of the underlined digit, expanded form, comparing numbers, ordering, and reading numbers. (Approx. level: Kindergarten - 1st)

This page has a set of 3-digit PV worksheets and games. Skills covered include: digit values, standard/expanded form, reading and writing numbers, ordering, comparing, and place value blocks. (Approx. level: 1st and 2nd Grades)

Browse our massive collection of 4-digit place value activities. Includes a variety of games and printables, covering: expanded notation, inserting commas, reading numbers, place value blocks, digit values, and more. (Approx. level: 2nd and 3rd Grades)

The printables on this page can be used for teaching and reviewing 5-digit place value. Practice finding the values of the underlines digits, write numbers in expanded notation, arranging numbers from least to greatest, and placing commas correctly. (Approx. level: 3rd and 4th Grades)

Practice place value up to hundred-thousands with these games and worksheets. Learn about digit values, writing number names, expanded and standard notation, and comparing large numbers. (Approx. level: 3rd and 4th Grades)

These PV activities have large 7-digit numbers, up to 9,999,999. This page has a variety of worksheets, games, cut-and-glue projects, and lesson ideas. (Approx. level: 4th through 6th Grades)

Print worksheets, cut-and-glue activities, and other activities for learning about place value up to 10 digits (billions).

Decimals & Money Place Value

Review place value skills to the nearest tenth. Includes comparing, ordering, and finding the value of the underlined digit.

These worksheets will help kids learn about reading, ordering, comparing, and values of digits in numbers to the nearest hundredth.

Determine the values of digits to the nearest thousandths place. Also, review ordering, rounding, and comparing numbers to the nearest thousandth place.

Practice place value with money amounts. Read money amounts; compare and order money. Round to the nearest penny, dime, or dollar.

Rounding to the nearest ten, hundred, and/or thousand.

Download a variety of different 100 charts and 120 charts.

This index page will link you to worksheets on counting up to 10, counting up to 20, and counting up to 30. Also includes specific number trace-and-print activities for 1 through 30.

Learn about place value with these "special number" worksheets. Available in 1-digit, 2-digit, 3-digit, 4-digit, and 5-digit numbers.

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Rounding Numbers By Place Value Worksheets

Round is an awesome math skill that helps us process calculations much quicker and make decisions based on those calculations. A great example of this is trying to figure out how many milk cartons containers you would need to transport 130 cartons of milk. If each knew that milk carton container held 18 milk cartons. You could simply round this to 20 and tell yourself that you would need 7 containers. We use this type of simple math in all types of estimates that we make. They save us a great deal of time in our day. This large collective of worksheets and lessons that help students learn how to round a number to a specific place value.

Aligned Standard: Grade 4 Base Ten - 4.NBT.3

• Rounding to the Nearest Hundreds Step-by-Step Lesson - A visual walk through of place value.
• Guided Lesson - Round to the nearest hundreds place. Then take one number and round it to the nearest tens, hundreds, and thousands.
• Guided Lesson Explanation - This one is very wordy. Sorry about that, but I want to make sure that a youngster at the grade 4 level of reading could learn this without any help.
• Practice Worksheet - Another good one to go around. We work on estimating products and rounding weird numbers to all kinds of place values.
• Matching Worksheet - Every single skill is reviewed and reworked toward mastery.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

We give you an integer and ask you to round it to a fixed place value on each sheet.

• Round 100s Homework 1 - Determine the place value of the underlined number. If the number represents the tens place, write a "T" in the space provided. If the number represents the hundred places, write an "H" in the space provided. If the number represents the ones place, write an "O" in the space provided.
• Round 1000s Homework 2 - Write the missing digit.
• Round 10s 3 - Evaluate the underlined place value for each set of integers. For each problem circle the number with the highest underlined place value.

Practice Worksheets

You will find that every place is mixed up in this set.

• Practice 1 - Taking homework to the next level.
• Practice 2 - More reps for students.
• Practice 3 - ___ hundreds + ___ tens + 4 ones = 444

Math Skill Quizzes

We ask you to round between the tens and thousands place. Perfect for this level.

• Quiz 1 - All the questions in one form.
• Quiz 2 - Fill in that missing place.
• Quiz 3 - Locate the place value first and go from there.

How to Round Numbers to a Specific Place Value

Rounding off is simple when a child has strong concepts of place value. Understanding the place values helps children in solving more complex mathematical problems.

Every digit in a number system holds a unique place value. Place values are a unique value to each digit in a number. Before we get into the details of rounding off, we need to have a clear concept of word problems, especially for decimal number systems. We use the base ten number system this means that each value as we move from right to left increases tenfold. So, for example in the number 555 the furthest most 5, to the right, is in the ones place and worth 5 ones, the next 5 to the left is worth 5 tens, and the last 5 to the far left is worth 5 hundreds.

Rounding numbers using place values is not as complex as it sounds. Rounding off makes mathematical problems simple and easy to solve. It helps you get a general idea of the outcome of an operation of your choice. You can round down a number to make it smaller or round up to make it a bit larger. The rule of rounding off numbers is;

Round down if the number that follows is of a value than less 5. Round up if the number that follows is equal to 5 or larger than 5.

Rounding off to the nearest hundred position; 8732. The digit under the hundreds value is 7. The number that follows 7 is 3, which is smaller than 5. The number 8732, rounded off to the nearest hundred is 8700. If the number had been 8372, the number rounded off would become 8400. All numbers sitting at the right side of the rounded off digit will all be written as zero, it is a rule of rounding off.

Let's go a step further and round the number 7,397 to the nearest (thousands, hundreds, and tens):

7,397 (thousands) - We would look at the hundreds place, which the integer 3 represents. 3 is less than 5, so we would round down to 7,000.

7,397 (hundreds) - We would look at the tens place, which the integer 9 represents. 9 is greater than 5, so we would round up to 7,400.

7,397 (tens) - We would look at the ones place, which the integer 7 represents. 7 is greater than 5, so we would round up, but this is a tricky one because the integer at the tens place is 9, so that would mean that we would have to round up to the next place which would leave us with 7,400.

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Place Value: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

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Place Value Worksheets

And base 10 blocks.

Our place value worksheets focus on deepening a student's understanding of our base 10 system. In our " base 10 blocks " worksheets, students manipulate blocks (units of 1) and rods (groups of 10) to build, deconstruct or add numbers. Later worksheets focus on building or de-constructing multi-digit numbers.

Choose your grade / topic:

Grade 1: Base 10 blocks worksheets

Grade 1: Place value worksheets

Grade 2: Place value worksheets

Grade 3: Place value worksheets

Grade 4: Place value worksheets

Grade 5: Place value worksheets

Topics include:

Grade 1 base 10 blocks worksheets

• Counting and making 10 with ten frames
• Regrouping unit blocks into blocks of 10 ("rods")
• Counting "tens" and "ones"
• Breaking a number (11-99) into rods ("tens") and  blocks ("ones")
• Adding 2 digit numbers with base 10 blocks

Grade 1 place value worksheets

• Identifying tens and ones from 2 digit numbers
• Combining tens and ones into 2 digit numbers
• Identifying a digit's place value (tens, ones)
• Building a 2 digit number with missing addends
• Write 2 digit numbers in expanded form
• Write 2 digit numbers in normal form

Grade 2 place value worksheets

• Building a 3-digit number from the parts
• Missing place values in 3-digit numbers
• Write 3-digit numbers in expanded form
• Write 3-digit numbers in normal form
• Hundreds, tens & ones - identify the underlined digit
• Comparing and ordering numbers up to 100 and 1,000

Grade 3 place value worksheets

• Building 3, 4 and 5-digit numbers from the parts
• Missing place values in 3 and 4-digit numbers
• Write 4-digit numbers in expanded form
• Write 4-digit numbers in expanded notation
• Write 4-digit numbers in standard form
• Identify the place value of the underlined digit
• Compare and order numbers up to 10,000 and 100,000

Grade 4 place value worksheets

• Building 4, 5 and 6-digit numbers from the parts
• Missing place values in 4, 5 and 6-digit numbers
• Write 5-digit numbers in expanded form
• Write 5 digit numbers in expanded notation
• Write 5-digit numbers in standard form

Grade 5 place value worksheets

• Building 5 and 6-digit numbers from the parts
• Missing place values in 5 and 6-digit numbers
• Build numbers from parts with decimals
• Decimal numbers in expanded form
• Decimal numbers in expanded notation

Related topics

Comparing numbers worksheets

Rounding worksheets

Sample Place Value Worksheet

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Year 6 Place Value - Rounding Homework Sheet

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

15 September 2020

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A sheet that can be used for homework or as a recap activity for Year 6 to work on rounding. Included is a double sided activity sheet as well as the answer sheet.

Creative Commons "Sharealike"

Get this resource as part of a bundle and save up to 50%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Year 6 Rounding Bundle

Four lessons for Year 6 that focus on rounding, working up from 10 and 100 up to 1,000,000 including a final lesson that focuses on all aspects of rounding. Each lesson includes the lesson PowerPoint with an arithmetic starter, an activity booklet that follows the guided practice before having independent activities and lesson activity as well as problem solving and reasoning questions. Answers are also included. There is also an additional sheet that can be used as homework or as a recap activity for rounding.

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