Place Value Worksheets

Free Place Value Worksheet Library for Grades K-6+ (with Answer Keys)

Welcome to our free Place Value Worksheets Library!

The free pdf worksheets below are organized by the following-subtopics:

• Basic Place Value Worksheets (Tens and Ones)

• Intermediate Place Value Worksheets (Hundreds, Thousands, +)

• Decimal Place Value Worksheets

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

Basic Place Value Worksheets (Tens and Ones)

Intermediate Place Value Worksheets (3+ Digit Numbers)

Decimal Place Value Worksheets

▶️ Naming and Rounding Decimal Places (A)

▶️ Naming and Rounding Decimal Places (B)

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Place Value Worksheets Review

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:

• 324 = 300 + 20 + 4

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:

• 4,796 = 4,000 + 700 + 90 + 6

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:

• 23.8 = 20 + 3 + 0.8

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:

• 7 + 0.5 + 0.02 + 0.004

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.

Whether you are learning about place value for the very first time or you are reviewing the concept of place value, we recommend using both approaches (i.e. rewriting numbers in expanded form and using a place value chart to determine the place value position of each digit).

After you have had a sufficient amount of practice, you will be able to identify a digit’s place value without the use of a chart, but the chart itself is a super effective tool that will help you to build a strong conceptual and procedural understanding of place value.

Figure 04 below illustrates one final example where both expanded form and a place value chart were used to identify and understand the place value positions for the number 2.540.

Do You Want More Place Value Resources?

Click the links below to access our free step-by-step guides and resources:

• Where is the Hundredths Place Value in Math?

• Writing Numbers in Expanded Form (with Decimals)

• How to Round to the Nearest Tenth (Step-by-Step)

• How to Round to the Nearest Hundredth (Step-by-Step)

• How to Round to the Nearest Thousandth (Step-by-Step)