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Place Value & Rounding for Grade 5
Place value worksheets.
Our grade 5 place value worksheets provide students practice in composing and decomposing whole and decimal numbers, as well as rounding to various digits.
Sample Grade 5 Place Value Worksheet
More place value & rounding worksheets
Explore all of our place value worksheets , from base ten blocks to 6 digit numbers in expanded form, and our rounding worksheets , ranging from rounding to the nearest 10 to rounding in the millions.
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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.
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- Expanded to Standard Form up to 3dp
- Standard to Expanded Form up to 3dp
Decimal Place Value Riddles
- Place Value to 3dp Online Quiz
- Looking for some easier Decimal Place Value Worksheets?
- More recommended resources
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 Sheet 1A
- PDF version
- Place Value to 3dp Sheet 1B
- Place Value to 3dp Sheet 1C
- Place Value to 3dp Sheet 2A
- Place Value to 3dp Sheet 2B
- Place Value to 3dp Sheet 2C
- Place Value to 3dp Sheet 3A
- Place Value to 3dp Sheet 3B
- Place Value to 3dp Sheet 3C
- Place Value to 3dp Sheet 4A
- Place Value to 3dp Sheet 4B
- Place Value to 3dp Sheet 4C
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.
- Place Value to 3dp Sheet 5A
- Place Value to 3dp Sheet 5B
- Place Value to 3dp Sheet 6
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
- Expanded Form to 3dp Sheet 1
- Expanded Form to 3dp Sheet 2
- Expanded Form to 3dp Sheet 3
- Expanded Form to 3dp Sheet 4A
- Expanded Form to 3dp Sheet 4B
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.
- Decimal Place Value Riddle 4A
- Decimal Place Value Riddle 4B
5th Grade Decimal Place Value Riddles
- Decimal Place Value Riddle 5A
- Decimal Place Value Riddle 5B
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.
- Decimal Place Value Worksheets
- 4th Grade Place Value up to 6 digits
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.
- Place Value Worksheets Millions
- 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.
- Decimal Place Value Charts
- Decimal Place Value Grids
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.
- Ordering Large Numbers up to 100 million
- Ordering Decimals to 3dp
- Ordering Negative Numbers -10 to 10
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!
- Mental Math 5th Grade
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.
- Math Games 5th Grade
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
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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5th Grade Place Value Worksheets
5th grade place value worksheets are an excellent resource for students to learn the concept of place value from an elementary stage. Learning place value is an important skill for children to learns various mathematical skills like counting numbers, addition, subtraction, finding a digit’s place value, etc. Building an early foundation in this skill is vital for later math studies. These 5th grade math worksheets help kids gain an in-depth understanding of the number place values, number expansion, arrangement, and order.
Benefits of Grade 5 Place Value Worksheets
5th grade place value worksheets comprise many problems based on finding place-value of numbers to bolster a child’s math skills. Practicing these concepts enables kids to learn regrouping numbers in sets to find their place value. It is a reliable means to implement practice and learning of decimals and place values. Through these well-curated place value worksheets for grade 5, students gradually acquire the ability to visualize math problems.
Printable PDFs for Place Value Worksheets for Grade 5
- 5th Grade Math Place Value Worksheet
- Fifth Grade Place Value Worksheet
- Place Value Worksheet 5th Grade
- Grade 5 Place Value Math Worksheet
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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 Activities for 5th Grade
Strengthen your child's place value skills with interactive educational resources for place value for 5th graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 5th grader master this concept by engaging their critical thinking.
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All Place Value Resources
Decimals on the Place Value Chart Game
Use your skills to practice decimals on the place value chart.
Identify the Digit at a Place Game
Enjoy the marvel of math-multiverse by exploring how to identify the digit at a certain place.
Multiple Choice Questions on Number Sense Worksheet
Reveal the secrets of math wizardry by practicing multiple choice questions on number sense.
Rename the Given Numbers Worksheet
This downloadable worksheet is designed to practice renaming the given numbers.
Identify the Place Game
Take a look at how to identify the place with this place value game.
Decimals (Up To Thousandths) on Place Value Chart Game
Help your child practice decimals (up to thousandths) on the place value chart through this game.
Break the Expression Worksheet
Combine math learning with adventure by solving to break the expression.
Break the Expression to Find the Answer Worksheet
Reveal the secrets of math wizardry by practicing to break the expression to find the answer.
Identify the Digit at a Place (Up To Thousandths) Game
Use your place value skills to identify the digit at a given place (up to thousandths).
Identify the Place (Up To Thousandths) Game
Help kids practice place values by identifying the place (up to thousandths).
Break the Expression to Solve Worksheet
Solidify your math skills by breaking the expression to solve.
Multiply Using Expanded Form Worksheet
In this worksheet, learners will get to multiply using the expanded form.
Understand Decimal Place Value Game
Unearth the wisdom of mathematics by understanding decimal place values.
Make Decimal Numbers up to thousandths Place Game
Shine bright in the math world by learning how to make decimal numbers up to the thousandth place.
Multiply Using Rounding Worksheet
Use this printable worksheet to multiply using rounding to strengthen your math skills.
Using the Place Value Chart Worksheet
Dive into this fun-filled printable worksheet by using the place value chart.
Expanded Form to Standard Form Game
Practice to convert the expanded form to its standard form.
Complete the Expanded Decimal Form Game
Take a look at how to complete the expanded decimal form in this game.
Identify Place Value Grids as Fractions & Decimals Worksheet
Reinforce math concepts by practicing to identify place value grids as fractions & decimals.
Identify the Place Value Units Worksheet
Combine math learning with adventure by identifying place value units.
Complete the Expanded Fraction Form Game
Help your child take flight by learning how to complete the expanded fraction form.
Writing Decimal Number Names Worksheet
This downloadable worksheet is designed to practice writing decimal number names.
Representing Decimals as Expanded Form Worksheet
Solidify your math skills by representing decimals in the expanded form.
Comparing Decimals Worksheet
Pack your math practice time with fun by comparing decimals.
Classify Sorted and Unsorted Number Sequences Worksheet
In this worksheet, learners will get to classify sorted and unsorted number sequences.
Arranging Decimals in Ascending/Descending Order Worksheet
Help your child revise number sense by arranging decimals in ascending/descending order.
Forming Decimal Numbers Worksheet
Focus on core math skills with this fun worksheet by practicing forming decimal numbers.
Identify the Nearest Multiple on the Number Line Worksheet
Put your skills to the test by practicing to identify the nearest multiple on the number line.
Round off Numbers Using Number Line Worksheet
Solidify your math skills by practicing to round off numbers using a number line.
Use Number Line to Round Numbers Worksheet
Learners must use number lines to round numbers to enhance their math skills.
Identify if Round Up or Round Down Worksheet
Assess your math skills by identifying whether the number should be rounded up or rounded down.
Round off Numbers Worksheet
Assess your math skills by rounding off numbers in this worksheet.
Round Decimals to the Nearest Whole Worksheet
Use this printable worksheet to round decimals to the nearest whole to strengthen your math skills.
Round Decimals to the Nearest Tenth Worksheet
Focus on core math skills with this fun worksheet by solving to round decimals to the nearest tenth.
Round Decimals to the Nearest Hundredth Worksheet
Help your child revise number sense by rounding decimals to the nearest hundredth.
Round Up or Round Down Worksheet
Reinforce math concepts by practicing to round up or round down.
Round off Decimal Numbers Worksheet
Reinforce math concepts by practicing to round off decimal numbers.
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Place Value Worksheets
A vast compilation of printable worksheets on place value can be instantly downloaded from this page. You can find multiple place value activities, charts, posters and practice worksheets to reinforce your place value skills. Abacus and Base Ten Blocks are excellent teaching tools to review the key concepts of place value. Students also learn to represent whole numbers and decimals in the standard and expanded form.
List of Place Value Worksheets
Abacus Worksheets
Bundles of Tens and Ones Worksheets
Base Ten Blocks Worksheets
Number Names Worksheets
Place Value Charts
Place Value - Ones, Tens, Hundreds
Place Value - Thousands
Place Value - Large Numbers
Place Value Activities
Place Value - Decimals
Standard and Expanded Form Worksheets
Explore the Place Value Worksheets in Detail
One of the best instructional aids to help kids count and learn place value of numbers is the Abacus method. All worksheets presented here employ the abacus model to represent place values up to 4-digits.
Impart foundational knowledge of place value among early learners with these bundles of tens and ones worksheets. They count the objects, sticks, and shapes, and discern tens as a group of ten ones.
These worksheets reinforce knowledge in place values up to thousands with the use of base ten blocks. A perfect visual aid to learn place value of digits.
This exclusive page contains 400+ worksheets on Number Names ranging up to billions. Guide young learners to convert whole numbers to number names and vice versa.
Download and print place value posters and charts from this page. The charts are illustrated with vibrant pictures and are classified into place values ranging from tens to billions.
This array of worksheets comprises a wide range of exercises like identify the place value of digits up to hundreds, write equivalent place values, MCQ's, 'What number am I' and a lot more!
Download our worksheets and get students to determine the place value of the specified digit up to thousands. Exercises like frame the smallest and largest number and much more are up for grabs!
Access our worksheets to learn place value of large numbers up to 12-digits. Activities like insert commas, write the place value of the underlined digit, word problems and more are included here.
Use this set of interactive worksheets to learn subtraction the fun way! Find the place value of the specified digit with a variety of coloring and cut-and-glue activities that will also enhance a child's fine motor skills.
Assist students to understand the place value of digits in a decimal with this batch of ready-to-print worksheets. Well-researched word problems are also incorporated to grasp the concept better.
Select from a wide range of resources on standard and expanded form for whole numbers and decimals. Exclusive worksheets are included for word form, product form and exponential form.
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Curriculum / Math / 5th Grade / Unit 1: Place Value with Decimals / Lesson 5
Place Value with Decimals
Lesson 5 of 13
Criteria for Success
Tips for teachers, anchor tasks.
Problem Set
Target Task
Additional practice.
Explain patterns in the number of zeros of the quotient when dividing a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Common Core Standards
Core standards.
The core standards covered in this lesson
Number and Operations in Base Ten
5.NBT.A.1 — 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.
5.NBT.A.2 — Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Foundational Standards
The foundational standards covered in this lesson
4.NBT.A.1 — 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. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Number and Operations—Fractions
4.NF.B.4.B — Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
The essential concepts students need to demonstrate or understand to achieve the lesson objective
- Divide whole numbers by 10 (e.g., $$5,000 \div 10$$ , $$4,320 \div 10$$ ).
- Multiply whole numbers by $$\frac{1}{10}$$ or 0.1 and see that this is equivalent to dividing those whole numbers by 10.
- Generalize the pattern that dividing a whole number by 10 results in the digits in the number shifting one place to the right (MP.8).
- Understand that a digit in one place represents $$\frac{1}{10}$$ of what it represents in the place to its left.
Suggestions for teachers to help them teach this lesson
Students will only divide in cases where the quotient is a whole number. Students will divide by 10 with decimal quotients in Topic B.
Lesson Materials
- Millions Place Value Chart (2 per student) — Students might need more or less depending on their reliance on this tool.
- Base ten blocks (8 thousands, 80 hundreds, 70 tens, 50 ones per student or small group) — Students might not need these depending on their reliance on concrete materials. You could just use one set for the teacher if materials are limited.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Solve.
- $$50\div10=$$ ___________
- $$8,700\div 10=$$ ___________
- $$90,060 \div 10 =$$ ___________
- $$204,000 \div 10 =$$ ___________
b. What do you notice about Part (a)? What do you wonder?
Guiding Questions
a. Solve.
- $${70 \div 10}$$
- $${70 \times {1\over 10}}$$
- $$70\times0.1$$
Write a whole number in which the value of the digit 3 is $$\frac{1}{10}$$ the value of the digit 3 in 23,456. Explain how you know the number you wrote is correct.
Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.
Discussion of Problem Set
- Look at #1b. What did you get? (Note: They should have gotten 10 if they were paying close attention. Same with #2f.)
- Look at #5. Do you agree or disagree? If you agree, what are the two correct answers? Prove that they are both correct.
- Look at #7. What kind of picture did you draw?
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
a. $$380\div10=$$ ________
b. $$4,820 \times \frac{1}{10}=$$ ________
Student Response
Explain what happened to the value of the 8 in both problems in #1.
An example response to the Target Task at the level of detail expected of the students.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.
Word Problems and Fluency Activities
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Topic A: Place Value with Whole Numbers
Build whole numbers to 1 million by multiplying by 10 repeatedly.
5.NBT.A.1 5.NBT.A.2
Use whole numbers to denote powers of 10. Explain patterns in the number of zeros when multiplying any powers of 10 by any other powers of 10.
Explain patterns in the number of zeros of the product when multiplying a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the number of zeros of the product when multiplying a whole number by powers of 10.
Explain patterns in the number of zeros of the quotient when dividing a whole number by powers of 10.
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Topic B: Place Value with Decimals
Build decimal numbers to thousandths by dividing by 10 repeatedly.
Explain patterns in the placement of the decimal point when a decimal is multiplied by any power of 10. Recognize that in a multi-digit decimal, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the placement of the decimal point when a decimal is divided by a power of 10. Recognize that in a multi-digit decimal, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Topic C: Reading, Writing, Comparing, and Rounding Decimals
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
5.NBT.A.3.A
Compare multi-digit decimals to the thousandths based on meanings of the digits using $${>}$$ , $${<}$$ , or $$=$$ to record the comparison.
5.NBT.A.3.B
Use place value understanding to round decimals to the nearest whole.
Use place value understanding to round decimals to any place.
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Get ready for 5th grade
Unit 1: get ready for decimal place value, unit 2: get ready for adding and subtracting decimals, unit 3: get ready for adding and subtracting fractions, unit 4: get ready for multiplication and division with whole numbers and decimals, unit 5: get ready for multiplying and dividing fractions, unit 6: get ready for powers of 10, unit 7: get ready for volume, unit 8: get ready for properties of shapes.
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30 Smart Place Value Activities and Games for Elementary Math Students
Place value pool noodles? Genius!
Place value is one of those basic concepts that help kids build a wide variety of math skills. There are lots of fun place value activities and games you can use to help them understand, whether you’re working with basic tens and ones or have advanced to decimals with tenths and hundredths. Here’s a terrific collection of ideas to add to your upcoming lesson plans!
1. Start with an anchor chart
Help students understand and remember four ways to represent numbers and place value with an anchor chart. Turning the chart into a robot ups the fun factor!
2. Read a book about place value
We’re not talking about the paragraph in their math workbook that explains the concept. We mean one of these engaging and entertaining place value books that capture kids’ imagination while helping them understand how place value works and why it matters. There are plenty of options out there—here are a few of our favorites.
- Zero the Hero , by Joan Holub and Tom Lichtenheld
- Sir Cumference and All the King’s Tens , by Cindy Neuschwander
- Place Value , by David A. Adler
3. Turn paint samples into place value sliders
Use the cutouts in paint sample chips as little “windows” for numbers. This is a fun and colorful way to introduce place value to your students.
4. Show it four ways
Ask students to demonstrate their understanding of place value by showing one number in a variety of ways. Get a free printable worksheet for this activity at the link.
5. Transform a pillbox into a place value manipulative
Stop by the dollar store for some weekly pillbox containers, then use our free printable labels to turn them into dice shakers you can use for all kinds of place value activities.
6. Stack place value Cheerio towers
Looking for more inexpensive math class ideas? Grab a box of uncooked spaghetti and some Cheerios to use for your place value activities.
7. Visualize place value with a foldable
Use sentence strips and dry-erase tape to create a reusable math manipulative that reinforces place value concepts and expanded form.
8. Slide cards into binder pages
Use divided binder pages along with number and base-10 cards to show place value. Call out each digit and its place (“There’s a 3 in the thousands place”) and see if your students can make the correct number.
9. Construct a tower of base-10 blocks
Base-10 blocks are a popular math manipulative , and they’re perfect for teaching place value. This activity challenges kids to use the blocks to find three different ways to build a structure representing 1,000. New to base-10 blocks? Here’s a good starter set from Amazon to try.
10. Figure out the place value of your name
Here’s another clever use for base-10 blocks. First, have each student use them to spell out their name. Then, count up the numbers of tens and ones blocks to determine your name’s place value!
11. Stack paper cups
While you’re at the dollar store, pick up some stackable paper cups. Number them 1 to 9 along the edge, and then use them to talk about place value as you stack them to create different numbers.
12. Build place value bugs
How cute is this little number bug? Use large pom-poms for tens and smaller ones for ones, then set them on a wood craft stick to create a number.
13. Shoot for the target with LEGO bricks
LEGO bricks really are ideal for place value activities. Toss the bricks onto a homemade target with rings to represents ones, tens, and so on. Count the studs of each brick that lands on a place value ring, then add them up to get your final number. See more LEGO math ideas here.
14. Build understanding with LEGO bricks
You know your students love to build with LEGO, so use them to reinforce place value concepts too. Hands-on place value activities are always the most fun!
15. Act out multiplying and dividing
Active math games are one of the best ways we know to get kids involved in their learning. Find out how to act out multiplying or dividing by powers of 10 at Teacher Thrive .
16. Play a game of Place Value War
Play this game with Uno cards or a classic deck with face cards removed. Each player has a number of piles (depending on which place values you’re working on) and lays down the top card from each. The players say the resulting numbers out loud (e.g. “five hundred thirty”), and the player with the highest number wins. For a fun variation, allow players to use the cards they flip to create the highest possible number.
17. Build a number
Kids select some number cards, then try to meet a series of challenges like making the largest number they can. Add in a decimal card to up the complexity of the game.
18. Keep track of school days in a pocket chart
Each day, count how many days students have been in school this year by adding counters like 10-frames to a pocket chart. The number climbs as the year goes on, building from ones to tens to hundreds.
19. Send them on a scavenger hunt
Grab a stack of old magazines and newspapers and let kids loose to find examples of the place value challenges set in this scavenger hunt. Go to Primary Theme Park to get the free printable.
20. Shake things up with Yahtzee
Roll out the dice and try to beat your opponent as you fulfill the conditions of this special game of Yahtzee. Print the free game boards and get the rules at the link below. Find more creative ways to use dice in your classroom here.
21. Enjoy a game of Whack It!
What kid doesn’t love to whack things with a fly swatter? Put that energy to good use by having them slap the swatter down on the correct values as you call them out.
22. Take a journey on the Place Value Path
This free printable game combines a traditional board game with bingo. Roll the dice to see which outer square you land on. Count up the number represented by the base-10 symbols, and mark it on your bingo board. When you get five in a row, you win!
23. Toss beanbags into place value bins
Combine hand-eye coordination practice with math skills in this place value game. Label bins for tens, hundreds, etc., and choose a number. Kids toss numbered bean bags into the correct bins to win!
24. Snack and learn with rainbow math
Use Froot Loops cereal pieces and pipe cleaners to learn tens and ones with this free printable activity. Don’t want to use cereal? Try beads instead.
25. Use nuts and bolts to learn place value
Looking for inexpensive ways to represent base 10? Try nuts and bolts! You can pick them up in bulk at the hardware store, and it’s easy to replace them if they get lost.
26. Make giant DIY ones and tens blocks
Cut squares of bright-colored card stock for ones, and tape together a series of them to create the tens. Then add smiley faces to the top just for fun, and have kids hold up the giant blocks to represent various numbers.
27. Cut a pool noodle into tens and ones
The nice thing about these DIY manipulatives is that they’re easy for little hands to handle. Cut pool noodles to represent tens and ones to give kids practice building numbers.
28. Solve a place value puzzle
Place value activities are still important for older kids. This advanced activity asks them to solve math word problems and write the solutions into the correct place on the grid. Get the free printable at Education.com .
29. Complete a place value maze
This advanced place value activity gives students practice adding hundreds, thousands, and higher. They find the next correct answer in the maze as they go along. Visit Math Geek Mama for these free printable mazes.
30. Walk along giant number lines
We love place value activities that also get kids up and moving! For this one, use masking tape to create number lines for ones, tens, hundreds, etc., on the floor. Choose a number and use paper plates to mark the correct places on the number lines, or have kids stand on the correct mark instead.
Looking for even more math fun? Try these fun and free fraction games!
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Our grade 5 place value worksheets provide students practice in composing and decomposing whole and decimal numbers, as well as rounding to various digits. Place value: Build a 5-digit number. Build a 6-digit number. 60,000 + 4,000 + 100 + 90 + 8 = ____ Missing place value (5 digits)
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.
Learning place value is an important skill for children to learns various mathematical skills like counting numbers, addition, subtraction, finding a digit's place value, etc. Building an early foundation in this skill is vital for later math studies. These 5th grade math worksheets help kids gain an in-depth understanding of the number place ...
These place value worksheets are a great resource for children in Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, and 5th Grade. Click here for a Detailed Description of all the Place Value Worksheets.
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
Letters From Mikelle. This game/worksheet includes options for rounding to the nearest hundred, thousand, and ten thousand place value.It also includes rounding with decimals to the nearest tens, ones, tenths, and hundredths. Subjects: Math, Numbers, Place Value. Grades: 3 rd - 5 th. Types: Worksheets, Games, Centers.
As kids reach 5th grade, place value assumes importance in their journey towards becoming little mathematicians. With SplashLearn's downloadable place value worksheets for 5th graders, kids can freely practice questions to pinpoint any digit's position in a number using their place value skills! Personalized Learning. Fun Rewards.
Place Value Activities for 5th Grade. Strengthen your child's place value skills with interactive educational resources for place value for 5th graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 5th grader master this concept by engaging their critical ...
Skill plans. IXL plans. Virginia state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Place value" and thousands of other math skills.
Depending on my mood, I will write the lines OR the day of I will make squiggly lines to label the place value. While we are creating this, the students have a copy of this in their notebook. As a class, we will fill in our prior knowledge. For 5th grade, it should be up to one million. We work through the different parts like labeling the ...
Place Value Worksheets. A vast compilation of printable worksheets on place value can be instantly downloaded from this page. You can find multiple place value activities, charts, posters and practice worksheets to reinforce your place value skills. Abacus and Base Ten Blocks are excellent teaching tools to review the key concepts of place value.
Learn about the place value system with Mr. J. Whether you're just starting out, need a quick refresher, or here to master your math skills, this is the plac...
5.NBT.A.1 — 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. 5.NBT.A.2 — Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the ...
Place Value to 10,000,000 (Grade 5) Review place value up to 10,000,000 in this math worksheet. Students find how many tens or hundreds there are in a given…. Subjects: Place Value. Mathematics. Download. Add to Favorites.
This place value digital download includes 30 weeks (4 days per week) of daily place value practice worksheets and instruction for 3rd, 4th, or 5th grade students. These worksheets can easily be used as bellwork, centers, homework, or tutoring practice.
Free Value and Place Value worksheets and free Value and Place Value distance learning. Printable or online. 100% free math worksheets! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!
Discover the power of decimals with this engaging Decimal of the Day freebie! Perfect for students mastering decimal concepts, this comprehensive resource provides daily practice
Learn important Place Value Vocab with Mr. J. Whether you're just starting out, need a quick refresher, or here to master your math skills, this is the place...
Unit 5: Get ready for multiplying and dividing fractions. 0/1600 Mastery points. Introduction to multiplication Introduction to division Relating multiplication and division. Comparing with multiplication Multiplication and division word problems Area of rectangles Multiply fractions and whole numbers.
1. Start with an anchor chart. @TeachingWithHeartinMind/anchor chart via Instagram. Help students understand and remember four ways to represent numbers and place value with an anchor chart. Turning the chart into a robot ups the fun factor! 2. Read a book about place value.
Free 5th grade place value resources. Sponsored. Math Curriculum For Kindergarten 1st Grade 2nd Grade and 3rd Grade. Teach2Tell. $45.00 $81.75. Math Curriculum For 4th Grade, 5th Grade, and 6th Grade Print and Digital. Teach2Tell. $58.50 $116.10. 01 Statistics and charts + Statistics data distribution BUNDLE (450 pages)
This fantastic KS2 Maths worksheets workbook includes 30 printable PDF worksheets designed to help children practice their knowledge of place value. Specially designed by teachers and home educators, this KS2 Maths worksheets workbook is ideal for teaching at home or as a homework task. Let students work through the questions to give them extra practice on place value to help build their ...