5th Grade Place Value
Numbers up to 3 decimal places

Welcome to the Math Salamanders 5th Grade Place Value Worksheets.

Here you will find a selection of math worksheets to help your child learn to use place value with decimals to 3 decimal places.

5th Grade Place Value

The worksheets on this page will help your child learn to understand and use decimal place value.

Using these sheets will help your child to:

  • learn to expand numbers with up to 3 dp;
  • convert between expanded to standard form;
  • use tenths, hundredths and thousandths.

The sheets have been split into several sections.

In each section, the sheets start easier and get progressively more challenging.

The first section is all about converting from expanded form to standard form and understanding the value of each digit.

The second section is all about converting from standard to expanded form.

The last section has some place value riddles to solve - a chance to apply your place value skills to solve word problems.

5th Grade Place Value worksheets up to 3dp

Converting Expanded to Standard Form

Sheets 1 to 4

Sheets 1, 2, 3 and 4 are all about writing decimal place value in standard form.

Sheet A is about converting expanded form numbers written in words: tens, ones, tenths, hundredths, thousandths, etc. into standard form.

Sheet B is about converting expanded form numbers written in decimals: 5x1 + 7x0.1 + 8x0.01, etc. into standard form.

Sheet C is about converting expanded form numbers written as decimal fractions: 7x1 + 8x1/10 + 4x1/100 + 3x1/1000, etc. into standard form.

Place Value to 3DP Walkthrough Video

This short video walkthrough shows worksheet Place Value to 3DP Sheet 1A being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

Sheets 5 & 6

Sheet 5 is about completing missing place value facts up to 3dp.

Sheet 5A is about missing decimal facts, e.g. 5 + 0.6 + ____ + 0.008 = 5.638

Sheet 5B is about missing decimal fraction facts: 4 + 6/10 + _____ + 2/1000 = 4.672

Sheet 6 is about completing missing decimal facts up to 3dp and is a harder version than sheet 5.

Converting Standard to Expanded Form

Sheet 1 involves writing numbers up to 3dp in expanded form using place value names: tens, ones, tenths, hundredths and thousandths

Sheets 2 & 3 involve writing numbers in expanded form using decimals: 3.425 = 3 + 0.4 + 0.02 + 0.005

Sheet 4A involves writing numbers in expanded form using decimals: 4.328 = 4x1 + 3x0.1 + 2x0.01 + 8x0.001

Sheet 4B involves writing numbers in expanded form using decimal fractions: 4.328 = 4x1 + 3x1/10 + 2x1/100 + 8x1/1000

Decimal Place Value Riddles

Using riddles is a great way to get children to apply their place value knowledge to solve problems.

It is also a good way to get children working collaboratively and talking about the language together.

You can also get the children to choose one of the numbers in the riddle and ask each other questions.

The first two riddles 4A and 4B are aimed at a 4th grade level, the other riddles are aimed at 5th graders.

5th Grade Decimal Place Value Riddles

Looking for some easier place value worksheets

Our 4th grade place value worksheets involve using place value with decimals to 2dp and also place value with BIG numbers.

The sheets are similar to those on this page, but are at a simpler level.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

5th Grade Place Value to millions

The sheets in this section involve reading, writing, ordering and using place value with numbers to 1 or 10 million.

Using these sheets will help you child to understand place value using large numbers.

Decimal Number Line Worksheets

These sheets will help you learn to read decimal scales and record decimals on a number line with up to 2dp.

Decimal Place Value Charts & Grids

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

The charts cover a range of decimals from tenths to millionths.

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

Our place value grids are also visual aids to support children's understanding of place value.

They are a very useful resources to help children convert to and from expanded form.

Ordering Worksheets

The sheets in this section involve ordering negative numbers and lists of decimals to 3 decimal places.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

Each sheet is carefully graded and comes with an answer sheet provided.

5th Grade Mental Math Quizzes

Here you will find a range of printable mental math 5th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

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.

Place Value to 3 Decimal Places Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge of decimal place value up to 3 decimal places.


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How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!


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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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