place value worksheets k5 learning

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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 Strategies

What are place value strategies and how do they relate to standard algorithms? The Common Core State Standards describe the requirements for fluent use of the standard algorithms for addition, subtraction, multiplication and division as follows:

Prior to developing fluency with standard algorithms the CCSS emphasize place value strategies. This strong focus on place value strategies plays a critical role in the development of mental and written computation strategies, while providing students with the opportunity to develop a deep understanding of how the standard algorithms work. Common Core Standards explicitly referencing strategies based on place value include 1.NBT4, 2.NBT.5, 2.NBT.6,  2.NBT.7, 3.NBT.2, 3.NBT.3, 4.NBT.5, 4.NBT.6, 5.NBT.6, and 5.NBT.7.

So, what do place value strategies look like? Many different strategies based on place value exist for both written and mental computations. A few examples of written methods for Grades 2-5 are shown below.

Possible 2nd Grade Place Value Strategies

Addition on an  open number line .

Subtraction on an  open number line . Adding up from the subtrahend to the minuend.

Addition using Expanded Form:   Each addend is represented using expanded notation. Like place values are  added.

Subtraction using Expanded Form:   The minuend and subtrahend are represented using expanded notation. Like place values are  subtracted.

Possible 3rd Grade Place Value Strategies

Partial Sums Addition

Use place value to multiply  1-digit x a multiple of ten

9 x 80 = ? 9 x 80 = 9 x 8 tens            = 72 tens = 720 9 x 80 = 720

Use the distributive property to multiply within 100

Possible 4th Grade Place Value Strategies

Area Model: 1 x 3-digit

Area Model: 1 x 4-digit

Area Model: 2 x 2-digit

Partial Products: 2 x 1-digit

Partial Products: 3 x 1-digit

Partial Products: 2 x 2-digit

Partial Quotients: 3-digit dividend

Partial Quotients: 4-digit dividend

Multiply Up for Division: 3-digit dividend

Multiply Up for Division: 4-digit dividend

Possible 5th Grade Place Value Strategies

Area Model:  Multiply decimals using base ten blocks

Divide decimals by drawing base ten blocks

Regardless of which place value strategies are taught it is important that there is consistency across each grade level, and that a clear progression is maintained from one grade level to the next within a school. Time needs to be allocated to school wide discussions to ensure that place value strategies are being used or adopted. The following questions can be used to promote discussion and the selection of 1-2 focus strategies per grade for each operation:

• Which written methods for addition, subtraction, multiplication and division do we currently teach as a school?
• Do we have enough emphasis on place value strategies throughout the school? 
• Are there written methods we don’t use at the moment?  Do we need to adopt them?
• What mental calculation skills are needed in order for students to use written methods based on place value? Do our students have the necessary mental calculations skills needed?
• How can we develop whole school agreement on the written methods that we will teach for addition, subtraction, multiplication and division? How will consistency and progression be maintained?

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Decimal Place Value Worksheets

This assembly of printable worksheets has been meticulously drafted to assist students of Grade 5 and above comprehend the use of place values where decimals are involved. Exercises here include a wide range of decimal place values up to millionths with a number of simple word problems thrown into the mix for variety! Select MCQ worksheet pdfs have also been included to test your child's understanding of decimal place values. Free worksheets are included.

Underline the Digit: Up to Thousandths

Get young learners to identify the correct place values up to thousandths with this set of comprehensive pdf resources. Underline the correct digit according to the given place value. Download this entire set to gain ample practice in decimal place value.

• Download the set

Underline the Digit: Up to Millionths

For the given set of decimals, identify and underline the digit according to the place value. Each question contains four decimals. The decimal numbers in these printable worksheets have place values up to millionths.

Identify the Place Value of Underlined Digits: Up to Thousandths

Identify and write down the value of the underlined digit in word or numerical form. It includes place value up to thousandths. A few word problems have been thrown into the mix for variety!

Identify the Place Value of Underlined Digits: Up to Millionths

The decimals in this set of worksheets contain decimal parts up to millionths. Represent the place value of the underlined digit in each decimal. Simple word problems based on place value are also featured here.

Write the Place Value of the Digits

This array of resourceful pdf worksheets comprises six problems per page. Note down the place value for the particular digit specified in each question. Use the answer key to verify your responses.

Identify the Decimal Based on Place Value - MCQs

Practice this series of MCQs to gauge the ability of young learners in solving problems on place value. Apply your logical skills and choose the correct answer from the list of options. Identify the decimal that contains the digit with the specified place value.

Place Value - Money

In these printable money worksheets, find the place value of the underlined digit in each decimal number (expressed in dollars). When the underlined digit holds tenths and hundredths, answers can also be written with a cent(¢) sign. 'Download all' for a unique learning experience.

Decimal Place Value Charts

Looking for some displays to teach decimal place values to kids? Get instant access to several visually engaging charts, printable posters, and customizable templates on place values of a decimal number with just a single click!

(28 Worksheets)

Decimal Number Names

Impart knowledge of decimal number names to 4th grade and 5th grade students with this assortment of printable worksheets! Express decimal numbers in the word form and translate such names to decimal numerals.

(75 Worksheets)

Decimals in Standard and Expanded Forms

Now that you're well versed with decimal place values, converting between their standard and expanded forms is no tall order. Expand a decimal number according to the place value of its digits, as well as truncate a decimal expansion to the standard numerical form.

(78 Worksheets)

Related Worksheets

» Rounding Decimals

» Place Value Charts

» Decimals on a Number Line

» Place Value

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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.

• Real Estate

Place Value Worksheet With Answers - K5 Learning

The Place Value Worksheet with Answers on K5 Learning is a resource designed to help students practice and understand the concept of place value in mathematics. It provides exercises and solutions to strengthen their skills in reading, writing, and comparing numbers based on their place value.

Q: What is a place value? A: Place value refers to the value of a digit based on its position in a number.

Q: How is place value determined? A: Place value is determined by the position of a digit in a number, such as units, tens, hundreds, and so on.

Q: What is the value of the digit '7' in the number 578? A: The value of the digit '7' in the number 578 is 70.

Q: What is the value of the digit '9' in the number 942? A: The value of the digit '9' in the number 942 is 900.

Q: What is the place value of the digit '2' in the number 3,217? A: The place value of the digit '2' in the number 3,217 is tens.

Q: What is the place value of the digit '5' in the number 84,509? A: The place value of the digit '5' in the number 84,509 is thousands.

Q: How can place value be used to represent numbers with decimal points? A: Place value is used to represent numbers with decimal points by assigning values to digits based on their position relative to the decimal point.

Q: What is the place value of the digit '6' in the number 3.65? A: The place value of the digit '6' in the number 3.65 is hundredths.

Q: What is the place value of the digit '9' in the number 0.92? A: The place value of the digit '9' in the number 0.92 is hundredths.

Q: What is the value of the digit '4' in the number 87.426? A: The value of the digit '4' in the number 87.426 is 0.04.

Download Place Value Worksheet With Answers - K5 Learning

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2nd Grade Place Value & Rounding Worksheets

Understanding place value is one of the key concepts of early math learning. Our grade 2 place value worksheets give students practice in composing and decomposing numbers using place value concepts. Our rounding worksheets further re-inforce place value concepts. These math worksheets complement our online math program.

Part of resource: 

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Place Value Worksheets

Number and Place Value

1st grade math worksheets: place value, about k5 learning.

K5 Learning resources cover a range of subjects to suit whatever your student is trying to learn.  

K5 Learning Reading helps kids become strong readers. K5 Reading covers phonemic awareness, phonics, sight words, vocabulary and reading comprehension.  K5 Learning Math builds confidence in math; the program covers numbers and operations, geometry, measurement (including time and money), algebraic thinking and data analysis.  K5 Learning Spelling is an advanced spelling and vocabulary program which improves language skills one word at a time.

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Place Value 2

Other Details

Product description, math workbook: place value 2 (grade 2).

Place Value 2 is a grade 2 level math workbook  dealing with three-digit numbers, or with the place values ones, tens, and hundreds.

Some of the topics covered are:

• three digit numbers;
• hundreds on the number line;
• skip counting by tens;
• comparing numbers;
• rounding to the nearest ten or nearest hundred;
• bar graphs and pictographs.

This place value workbook is divided into 12 sections. Each section begins with a bite-sized introduction to a topic with an example, followed by practice exercises including word problems. Answers are in the back. The format is ideal for independent or parent-guided study . The Math Mammoth series of workbooks is highly recommended by K5 Learning!

Sample Workbook Pages (pdf):

Table of Contents

Three-Digit Numbers

Which Number is Greater?

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• Place value & rounding

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Grade 4 Place Value & Rounding Worksheets

Numbers to 1 million.

Our grade 4 place value worksheets help build conceptual understanding by decomposing numbers into their constituent parts .  Rounding worksheets give practice rounding numbers up to 1,000,000.

Sample grade 4 rounding 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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