Place Value Teaching Resources
Browse place value charts, printable worksheets, games and more teaching resources created by teachers, for teachers like you.
This collection of curriculum-aligned and editable teacher-created resources has been carefully reviewed by the expert teachers on the Teach Starter team to ensure every single one is ready to use in the classroom. That means you can save hours on lesson planning with activities ready to print or use digitally!
Want to learn more about this section of the math curriculum, or just looking for fresh ideas to engage your students? Read on for a primer from our teacher team, including a look at the meaning of place value and tips on teaching place value in the classroom!
What Is Place Value?
In math, the term place value refers to the value of a digit in relation to its position in a number. For example, in the decimal system, which is based on powers of 10, the value of a digit in a number depends on its position relative to the decimal point, as follows:
- The digit in the ones place has a value of 1 times the digit.
- The digit in the tens place has a value of 10 times the digit.
- The digit in the hundreds place has a value of 100 times the digit.
- The digit in the thousands place has a value of 1000 times the digit.
- And so on.
Place Value Example
Like most math concepts, looking at place value examples with your students is key to helping them understand the concept. So let's look at an example of place value using the number 3,245:
- 3 is in the thousands place
- 2 is in the hundreds place
- 4 is in the tens place
- 5 is in the ones place
Therefore, its value can be calculated as:
(3 x 1000) + (2 x 100) + (4 x 10) + (5 x 1) = 3000 +200 +40 + 5 = 3,245.
Why Is Place Value Important?
Place value is an important concept for elementary students to understand as it is a major factor in understanding numbers and their overall value.
Understanding place value is also essential for performing the four math operations, and it will help students as they move on toward working with decimal fractions, scientific notation and other mathematical concepts.
What Is a Place Value Chart?
A handy tool for teaching this math concept is the place value chart! This visual teaching tool can be used to represent and organize numbers based on their value and position in a given number.
How to Use a Place Value Chart
A place value chart is typically divided into columns representing the different powers of 10 in our number system. Each column is labeled with the name of the place value it represents (e.g. ones, tens, hundreds, thousands, etc.) and contains a series of boxes or cells — each corresponding to a single digit.
The rightmost column will represent the ones place, the next column to the left will represent the tens place, the next represents the hundreds place and so on.
Students can place a particular number in their place value chart, determine its value, and then figure out two-digit, three-digit, four-digit, and larger numbers.
To read a place value chart, students work their way left or right. For example, if you start from the "ones" place, you can go left one space to the "tens" place, then on to the "hundreds" place and so on. As students enter the intermediate grades, they begin to learn about numbers to the right of the decimal point (tenths, hundredths, thousandths, etc.).
Place Value vs. Face Value
At some point, your students may ask about face value — after all, the terms sound similar! So are they interchangeable? The answer is no.
Face value and place value — despite their similar names — are not the same, but they are related.
As we've already noted, the place value of a digit tells us the value of that digit based on its position in a number. The place value of a digit changes depending on where it is in the number.
On the other hand, the face value of a digit tells us the actual value of the digit itself, regardless of its position in the number. So, for example, in the number 357, the face value of the digit 5 is simply 5.
In essence, place value is what helps us understand the value of a number based on the position of its digits, but face value is what helps us understand the value of individual digits in a number.
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Representing Two-Digit Numbers - Place Value Worksheet
A set of worksheets for students to use when learning about place value and the different way two-digit numbers can be represented.
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Hundreds Place Value Number Expander Template
A resource to help reinforce place value and writing 3-digit numbers in expanded form.
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Place Value Charts — Printable Math Mats
Practice place value concepts, addition, and subtraction with a printable set of free place value charts.
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Roll It, Make It, Expand It! - Place Value Worksheet
A worksheet for students to use when learning to write two-digit numbers in expanded form.
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Rounding Task Cards
Use place value knowledge to round numbers up through the hundred thousands place with this free set of 20 task cards.
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How to Write 2-Digit and 3-Digit Numbers Worksheet
Explore how to represent number values in standard form, word form, expanded form, and picture form with this multipurpose place value worksheet.
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Expanded Notation Classroom Poster
Explore the world of expanded notation with a printable classroom poster that easily explains the concept for students!
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Find a Friend Expanded Form Worksheet
Explore expanding 2-digit to 6-digit numbers with your students with this expanding form active worksheet.
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4-Digit Numbers Worksheet
Practice reading and writing 4-digit numbers with this printable PDF worksheet.
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Expanded Form Dominoes (5-Digit Numbers)
Use this set of dominoes when learning how to match 5-digit numbers written in standard form and expanded form.
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Positive and Negative Numbers - Worksheet
A set of worksheets to use when learning about positive and negative numbers.
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2-Digit Numbers in Expanded Form Worksheet
Explore two-digit numbers in standard form and expanded form with this set of two cut-and-paste style worksheets.
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Caterpillar Ordering Numbers Worksheet - Dot Day Math Activity
Practice number sequencing and add to your collection of Dot Day activities with a printable caterpillar number-ordering worksheet.
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Bingo Cards - Rounding Numbers Using a Vertical Number Line
Review how to round numbers to the nearest ten, hundred, thousand, and ten thousand with a vertical number line Bingo game.
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Rounding Numbers – Math Mazes
Round numbers to various places while finding your way through this set of 5 math mazes.
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Let's Compare! Task Cards
Practice comparing 2-digit numbers with this set of 20 task cards.
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6-Digit Number of the Day Worksheet
A 6-digit place value worksheet to represent the number of the day in different ways.
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0-9 Digit Cards
A set of 0-9 digit cards to be used for numeracy games in the classroom.
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Expanded Form Worksheet Pack
Practice expanding 2-digit to 6-digit numbers with this set of 5 worksheets.
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Ordering Numbers Worksheet - Halloween Cut and Paste
Practice ordering numbers with a fun set of spook-tacular Halloween Math worksheets for kindergarten.
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Rounding Numbers on a Number Line Teaching Slides
Teach students how to round to the nearest ten and hundred with an interactive, explicit instructional teaching presentation.
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Rounding Whole Numbers – Riddle Worksheets
Integrate riddles and math with this set of rounding worksheets.
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Number Talks - Place Value Task Cards
Build number sense skills with this set of 32 place value task cards.
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Exploring 5-Digit Place Value PowerPoint
A 38-slide PowerPoint template to use when exploring place value in the ten thousands place.
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Daily Spiral Math Worksheet (3-4)
Review a variety of place value and number sense standards with a daily spiral math review worksheet.
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Roll and Expand Numbers Worksheet Pack
Explore place value with your students using this set of leveled expanding numbers worksheets.
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Rounding to 10, 100, and 1,000 Worksheet - Halloween Color-By-Number
Round each number to the place of the underlined digit with a fun Halloween color-by-number worksheet.
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Two Step Word Problems on a Number Line - Place Value Activity
Differentiate place value concepts for 1st and 2nd grade students with a pair of 2-Digit Number Line Task Card Sets.
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Number Forms Worksheet
Help students practice recognizing and writing numbers in word form and expanded form with this worksheet.
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Flip, Draw, Expand! – Place Value Worksheet (3-Digit Numbers)
A worksheet to use when practicing place value with 3-digit numbers.
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Place Value STEM Challenge - Number Forms
Build, write, and read 3-digit numbers in base ten, word, and expanded forms with an engaging Place Value Building Project!
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Place Value Spin Activity
Practice identifying the number of 'tens' and 'ones' in two-digit numbers with this fun spin activity.