13 Expanded Form

A way to write numbers that shows the place value of each digit.

Source: Cavanaugh, M.C. (2006). Math to Know: A mathematics handbook. Great Source.

Photo source: https://mathtechconnections.com/mtc_vocabulary/expanded-form/

Expanded form is a way to write numbers so the value of each digit is easy to see and understand. The place of each digit tells us how much that digit is worth. Expanded form numbers are usually written with plus signs because when each value is added together, it equals the original number.

For example: 673 written in expanded form is

600 + 70 + 3

The 6 is in the hundreds place, so the value is 600. The 7 is in the tens place, so the value is 70. The 3 is in the ones place, so the value is 3. See the plus signs? When you add 600 + 70 + 3 together you get 673.

See if you can come up with the total value of

700 + 50 + 7

Did you get 757? Good!

Now you try. What is 895 written in expanded form?

Click on this link to watch a short video from Math & Learning Videos 4 Kids to learn more.

Expanded Form Video

Here is a link to an interactive game from Wordwall you can use to review expanded form:

Expanded Form Interactive Game

Math Tech Connections. (2024). Expanded Form. Math Tech Connections. https://mathtechconnections.com/mtc_vocabulary/expanded-form/

Math and Learning Videos 4 Kids (2012, December 13). Expanded Form Video – 1st and 2nd Grade Math [Video]. YouTube. https://www.youtube.com/watch?v=4AF7xj7pmWc

U79441036. (2018). Balloon Pop Expanded Form. Worldwall.net. https://wordwall.net/resource/27872956/expanded-form