place value homework year 5

Number & place value in Year 5 (age 9–10)

In Year 5, your child will be reading, writing, and comparing numbers up to 1,000,000. They will round large numbers, interpret negative numbers in lots of contexts, and learn Roman numerals up to 1000 (M).

The key words for this section are number and place value .

What your child will learn

Take a look at the National Curriculum expectations for number and place value in Year 5 (ages 9–10):

Read, write, and compare numbers up to at least 1,000,000

Place value is the basis of our number system and allows us to represent all our numbers with just the digits 0–9. Your child will understand that the position of the digit in a number tells us the value of the digit.

Your child will know the value of each digit in numbers up to at least a million. They will be able to order and compare numbers using their understanding of place value.

Note that the children will use the vocabulary ones and not units when talking about place value.

Count in powers of 10 from any number up to 1,000,000

Your child will be expected to count forwards and backwards in powers of 10 from any number up to a million.

Count forwards in steps of 10 ²  (100) from 25,760: 25,860, 25,960, 26,060, and so on. Count backwards in steps of 10 ³  (1000) from 8151: 7151, 6151, 5151, and so on.

Interpret and use negative numbers

Your child will interpret negative numbers in real-world contexts. For example, they might learn about negative numbers using temperature or money.

Your child will also count forwards and backwards with positive and negative whole numbers, including counting through 0. For example:

Count backwards from 6 to -3: 6, 5, 4, 3, 2, 1, 0, -1, -2, -3.

Round numbers to the nearest 10, 100, 1000, 10,000, and 100,000

Your child will round numbers up to a million up or down to the nearest 10, 100, 1000, 10,000 and 100,000.

537,129 rounded to the nearest 1000: 537,000.   145,674 rounded to the nearest 10,000: 150,000.   832,541 rounded to the nearest 100,000: 800,000.

Solve increasingly complex number problems

Children will solve problems involving:

• Negative numbers
• Roman numerals.

Their knowledge of place value will be very useful for this. They will use physical objects, drawings, diagrams, and mathematical symbols to visualise problems.

Read Roman numerals to 1000 (M)

Your child will be able to read Roman numerals from 1 (I) to 1000 (M). They should be able to recognise years written in Roman numerals.

 1 = I  5 = V  10 = X  50 = L  100 = C  500 = D  1000 = M    1995 = MCMXCV  2019 = MMXIX

How to help at home

There are lots of ways you can help your child to understand number and place value . Here are just a few ideas:

1. Use place value charts

Place value charts can be a great way to help your child represent numbers and understand how the number system works. These charts will help your child to read, write, and compare numbers, as well as to understand how zero is used as a placeholder.

2. Use place value knowledge

When comparing numbers up to 1,000,000, your child should look at the digit with the largest value first. For example, if your child is comparing the numbers 232,765 and 233,276, they would first need to look at the digit with the largest value. In this example, as the hundred thousands and ten thousands digits are the same, we need to look at the thousands digit:

232,765 has 2 thousands, and 233,276 has 3 thousands, so 232,765 is less than 233,276.

Encourage your child to use their knowledge of number and place value to identify patterns when calculating. For example, if you know 4 + 3 = 7, then you also know 0.4 + 0.3 = 0.7. This is because each of the numbers in the calculation is now ten times smaller, so the total will be ten times smaller.

Give your child a simple addition calculation using one-digit numbers such as 5 + 4 = 9. How many related calculations can they record using this fact? For example:

15 + 4 = 19 5 + 14 = 19 50 + 40 = 90 500 + 400 = 900 0.5 + 0.4 = 0.9  +   =  … and so on.

Activity: Place value pandemonium

3. Explore negative numbers

Chatting about the numbers we see around us will help your child use numbers in all parts of their daily lives. Point out negative numbers in the real world, such as temperatures on the weather forecast. Vertical number lines, such as those seen on thermometers, can help your child grasp the concept of negative numbers.

Activity: Negative numbers

4. Make estimates

Being able to make accurate estimates is a valuable skill we use in everyday life. When calculating, encourage your child to use their rounding skills to estimate the answer before calculating precisely. This will help them to check if their answer seems reasonable.

If you are out shopping and you have picked up a few items, ask your child to estimate the total cost of the items. They will need to round the cost of each item to find the estimated total. For example, if you bought items costing £3.82, 82p, £4.10, and £2.45, your child could round each of these items to the nearest pound:

£3.82 to £4 82p to £1 £4.10 to £4 £2.45 to £2

Your child could then add the rounded amounts of £4, £1, £4, and £2 to find the estimated total of £11. When they calculate precisely and come to £11.19, they can feel fairly confident that their calculation was correct.

5. Play Roman numerals bingo

Your child will be expected to be able to read Roman numerals from 1 to 1000. Point out Roman numerals in the modern world. For example, Roman numerals are used on older buildings to show when they were built, or at the end of a film to show the year it was made.

Why not play Roman numeral bingo with your child? Create bingo boards using pieces of A4 paper. Choose and write down six different Roman numerals between 1 and 100 on each piece of paper (one piece of paper per player). One player chooses a number between 1 and 100 and announces it. If a player has that number shown in Roman numerals, they can cover that number. The first player to cover all numbers is the winner.

Here are the Roman numerals up to 1000, with some examples of years written in Roman numerals:

 1 = I 5 = V 10 = X 50 = L 100 = C 500 = D 1000 = M   1995 = MCMXCV 2019 = MMXIX

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Maths Resources & Worksheets > Year 5 Maths Resources & Worksheets >

Number and Place Value Resources and Worksheets

About these resources.

Differentiated maths resources for Autumn Block 1 (Place Value) in small steps for KS2 children in Year 5.  Each small step contains a range of resources including a teaching PowerPoint, varied fluency worksheets, reasoning and problem solving worksheets, homework or extension worksheets, discussion problems for collaborative learning, interactive games and a learning video clip. Coverage of the Autumn Block 1 (Place Value) small steps include numbers to 10,000, roman numerals, round to 10, 100 and 1,000, numbers to 100,000, compare and order to 100,000, round within 100,000, numbers to a million, counting in powers of 10, compare and order to a million, round within a million and negative numbers. These Autumn Block 1 (Place Value) resources have been designed with the relevant Year 5 curriculum objectives in mind.

Numbers to 10,000

Fully Resourced Step →

Roman Numerals

Round to 10, 100 and 1,000, numbers to 100,000, compare and order to 100,000, round within 100,000, represent numbers to 1,000,000.

Additional Supporting Step →

Numbers to a Million

Counting in powers of 10, 10, 100, 1,000, 10,000, 100,000 more or less, partition numbers to 1,000,000, number line to 1,000,000, compare and order to a million, round within a million, negative numbers, 5 autumn block 1 consolidation pack.

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Year 5 Autumn Week 2 Rapid Arithmetic

Regularly revisiting previously taught skills is a great way to ensure children are secure in their understanding and this Year 5 Rapid Arithmetic resource does just that!

Year 5 Autumn Week 2 Maths in Minutes

Revisiting key skills is so important to ensure that children have the opportunity to consolidate their learning regularly and this Year 5 Maths in Minutes resource does just that!

Year 5 Autumn Week 3 Maths in Minutes

This Year 5 Maths in Minutes resource includes a variety of questions focusing on different aspects such as fractions, statistics, time, position and direction and more!

Year 5 Autumn Week 3 Rapid Arithmetic

On the lookout for a resource that can be used during registration, as a starter activity or whenever there's 5 minutes that needs to be filled? Then look no further!

Number Line to 1,000,000 – Teaching PowerPoint

These lesson slides guide pupils through the prior learning of partitioning numbers to 1,000,000, before moving on to the main skill of using number lines to 1,000,000.

Number Line to 1,000,000 – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of using number lines to 1,000,000.

Number Line to 1,000,000 – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of using number lines to 1,000,000.

Number Line to 1,000,000 – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to practise the main skill of using number lines to 1,000,000.

Number Line to 1,000,000 – Discussion Problems

This worksheet includes a discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to using number lines to 1,000,000.

10/100/1,000/100,000 More or Less Teaching Powerpoint

These lesson slides guide pupils through the prior learning of comparing and ordering numbers to 100,000 before moving on to the main skill of finding 10, 100, 1,000, 10,000, or 100,000 more or less than a given number.

10/100/1,000/100,000 More or Less – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of finding 10, 100, 1,000, 10,000, or 100,000 more or less than a given number.

10/100/1,000/100,000 More or Less – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to practise the main skill of finding 10, 100, 1,000, 10,000, or 100,000 more or less than a given number.

10/100/1,000/100,000 More or Less – Discussion Problems

This worksheet includes a discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to finding 10, 100, 1,000, 10,000, or 100,000 more or less than a given number.

10/100/1,000/100,000 More or Less – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of finding 10, 100, 1,000, 10,000, or 100,000 more or less than a given number.

Partition Numbers to 1,000,000 Teaching Powerpoint

These lesson slides guide pupils through the prior learning of finding 10, 100, 1,000, 10,000 or 100,000 more or less before moving on to the main skill of partitioning numbers up to one million. There are a number of questions to check pupils' understanding throughout.

Partition Numbers to 1,000,000 – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to further extend and practise the main skill of partitioning numbers up to one million.

Partition Numbers to 1,000,000 – Discussion Problems

This worksheet includes a discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to partitioning numbers up to one million.

Partition Numbers to 1,000,000 – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of partitioning numbers up to one million.

Partition Numbers to 1,000,000 – Varied Fluency

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of partitioning numbers to 1,000,000.

Represent Numbers to 1,000,000 Teaching Powerpoint

These lesson slides guide pupils through the prior learning of using numbers to 10,000 before moving on to the main skill of representing numbers to 1,000,000. There are a number of questions to check pupils' understanding throughout.

Represent Numbers to 1,000,000 – Discussion Problem

This worksheet includes one discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to representing numbers up to 1,000,000.

Represent Numbers to 1,000,000 – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to further extend and practise the main skill of representing numbers up to 1,000,000.

Represent Numbers to 1,000,000 – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of representing numbers up to 1,000,000.

Represent Numbers to 1,000,000 – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of representing numbers up to 1,000,000.

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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

Place Value Games

• Online Place Value Quizzes

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

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

Online Place Value Quiz Page

Here you will find our selection of place value quizzes.

We have a wide range of different quizzes which support the worksheets that we produce.

There are a range of place value and number sense quizzes suitable for all ages, from kindergarten and upwards.

• Online Place Value Quiz

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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 5 Homework - Place Value and Rounding. (Times table practise, fluency and reasoning.)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

15 August 2024

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

Place Value Year 5 Pack

This bundle contains lesson resources, homework and a (reasoning focused) working wall display. It will provide everything needed to cover the following (2014) objective: Read, write, order and compare numbers to at least 1000000 and determine the value of each digit. Includes problems and reasoning for deeper learning and understanding. The pack includes: *Lots of differentiated practical worksheets, task cards, and activities . *Homework for covering - Read, write, order and compare numbers to at least 1000000 and determine the value of each digit. Round any number up to 1000000 to the nearest 10, 100, 1000, 10000 and 100000. There are 3 differentiated sheets 5A, 5B and 5C. *Question titles and resources for a maths working wall aimed at KS2 - focus Reasoning . Also, includes Place Value resources linked to Y5 expectations.

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franhandley

Really good range of questions and well-differentiated. Perfect for my year 5 class. Saved loads of time-thanks

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licclecharl

Good resource, well differentiated. I plan to use it with my lower set year 6s.<br /> <br /> Is there anyway I could be emailed the pdf copy without the days on? Or ideally a word copy so that I can remove the 'year 5 homework' part for my children. Email: [email protected] Many thanks!

Thank you for downloading. Sorry, I do not make the resources in Word format, but I will email you an edited copy with the requested changes. :-)

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