##Expanded form

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

###Example

Let's write $\blueD7\purpleD2\greenD2\maroonD9$ in expanded form.

$7229=\blueD{7}\text{ thousands}$ $+,\purpleD{2}\text{ hundreds}+$ $\greenD{2}\text{ tens}+\maroonD9\text{ ones}$

$\phantom{7229}=\blueD{7000}+\purpleD{200}+\greenD{20}+\maroonD9$

$7229$ in expanded form is $\blueD{7000}+\purpleD{200}+\greenD{20}+\maroonD9$.

Want to learn more about expanded form? Check out this video.

##Practice

[[☃ graded-group-set 1]]

Want to try more problems like this? Check out this exercise.

##Written form

Written form is a way to write numbers using only words.

###Example

Let's write $\blueD7{,}\purpleD2\greenD2\maroonD9$ in expanded form.

$7229=\blueD{7}\text{ thousands}$ $+,\purpleD{2}\text{ hundreds}+$ $\greenD{2}\text{ tens}+\maroonD9\text{ ones}$

$\phantom{7229}=\blueD{7000}+\purpleD{200}+\greenD{20}+\maroonD9$

$7229$ in written form is $\text{\blueD{seven thousand},\purpleD{ two hundred}\greenD{ twenty-}\maroonD{nine}}$

Want to learn more about written form? Check out this video.

##Practice

[[☃ graded-group-set 1]]

Want to try more problems like this? Check out this exercise.

Study Guide: Place Value

Read this quick guide, then try the practice exercises below.

The Big Idea

Every digit in a number has a place — and each place is worth ten times the one to its right.

So the number 7,253 reads as:

7 thousands + 2 hundreds + 5 tens + 3 ones

Expanded Form

Write the value of each digit separately:

7,253 = 7,000 + 200 + 50 + 3

Quick Checklist

• Identify each digit's place
• Write the value (digit x place)
• Add the values back together to check

Tip: Zeros hold a place — 4,032 has no hundreds, but the 0 keeps the thousands and tens apart.

For more practice, watch the video lesson at the top of this page.