Welcome to our free Place Value Worksheets Library!
The free pdf worksheets below are organized by the following-subtopics:
Each place value worksheet can be downloaded as a PDF file that is easy to print or share online. All worksheets also include a complete answer key on the last page.
You can download any of our place value worksheets by clicking on the blue text links below. Once you click the link, you will see a preview page with an option to download the PDF file or print the worksheet. There are also several image boxes that you can click on to preview some of our featured place value worksheets.
If you need a quick review of place value, you can jump to the bottom of this page to access our short place value review guide, where we quickly recap some key vocabulary terms and information about place value and how you can use a place value chart to help you to correctly identify a number’s place value position (free PDF chart included).
All of the free place value worksheets below are sample practice worksheets from the Mashup Math K-12 Worksheet Libraries that are available on our website. | Quick Links: How to Download/Print
Add Using Place Value
Identifying Place Value
Tens and Ones
Building Numbers
Identifying Place Value
Missing Place Value
Naming/Rounding
Naming/Rounding
Check out the Mashup Math Free Worksheets Library, where you will find hundreds of topic and grade-specific PDF math worksheets with complete answer keys for Grades K-9, Algebra, and Geometry!
Place Value is an important foundational math topic that students will need to understand in order to learn more advanced concepts related to estimation, rounding, and scientific notation.
In mathematics, the place value of a particular digit refers to its position within the number as a whole.
For example, consider the number 324, which has three digits. We can rewrite 324 in expanded form as follows:
Writing the number in expanded form helps us to see that, for the number 324, that 3 is in the hundreds place value position, 2 is in the tens place value position, and 4 is in the ones place value position.
Let’s consider another example: 4,796
We can rewrite the number 4,796 in expanded form as follows:
Now we can see that, in this case, that 4 is in the thousands place value position, that 7 is in the hundreds place value position, 9 is in the tens place value position, and 6 is in the ones place value position.
While writing numbers in expanded form is one way to help students to understand place value, another good strategy is to use a Place Value Chart as a tool for identifying a digit’s place value position
Figures 01 and 02 below illustrate how a student could use a place value chart to determine the place value position of each digit in the numbers 324 and 4,796.
Once students are comfortable with identifying place value for single, double, triple, and quadruple-digit numbers, they can extend that understanding to extremely large numbers ranging from the hundred thousands all the way up to numbers in the millions.
In addition to learning how to identify and work with place value of large integers, students will also need to be able to understand place value in reference to decimal numbers as well.
For example, consider the number 23.8, which has three digits. We can rewrite 23.8 in expanded form as follows:
While students typically can quickly and easily identify that 2 is in the tens place value position and 3 is in the ones place value position, they may struggle to identify the place value positions of any numbers to the right of the decimal (in this case, the 8 is in the tenths place value position).
This process can become even more complicated when there are multiple numbers to the right of the decimal.
For example, the number 7.524 has three numbers to the right of the decimal point.
We can rewrite 7.524 in expanded form as follows:
Now we can say that 7 is in the ones place value slot, 5 is in the tenths place value slot, 2 is in the hundredths place value slot, and 4 is in the thousandths place value slot.
Again, we highly recommend using a place value chart to help students to correctly identify the place value positions of decimal numbers, as shown in Figure 03 below.
