Multi-digit numbers can be written in many ways!
Expanded form separates each digit and represents it with its full value. The numbers are separated by plus signs because each number added together will equal the original number.
For example, 846,135 in expanded form is:
800,000 + 40,000 + 6,000 + 100 + 30 + 5
How many addends will a 7-digit number have in expanded form?
A 7-digit number will have 7 addends in expanded form.
6,119,452 would be represented as:
If you stack numbers in expanded form vertically, they make a giant addition equation.
Adding the value of each digit vertically is a good way to check your expanded form! The sum should equal the original number.
Practice Problems
What is 38,961 in expanded form?
Change seventy-two thousand, forty-five to expanded from.
Related Math Lessons
- 3rd Grade: Understanding 4-Digit Numbers
- 3rd Grade: Understanding 5-Digit Numbers
- 4th Grade: Numbers to 1 Million
- 4th Grade: Numbers to 1 Billion
