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Table of contents:

  1. Expanded Form Calculator
  2. What is a Expanded Form
  3. Expanded Form Example
  4. Decimal Expanded Form

What is a Expanded Form

Expanded form number in math is a way to rewrite a number that breaks up that value into separate digits, showing how much each digit actually represents in the process.

For example 9753 = 9 × 1000 + 7 × 100 + 5 × 10 + 3 × 1 because there are 9 thousand, 7 hundreds, 5 tens, and 3 ones.

There are several ways to write numbers using expanded form.

Expanded Form Examples

1. Write number 9753 in expanded form.

Standard Form:

9,753

Expanded Form:

9,000 + 700 + 50 + 3 = 9,753

Expanded Factors Form:

(9 × 1,000) + (7 × 100) + (5 × 10) + (3 × 1) = 9,753

Expanded Exponential Form:

(9 × 103) + (7 × 102) + (5 × 101) + (3 × 100) = 9,753

Decimal Expanded Form

2. Write decimal number 127.53 in expanded form.

Standard Form:

127.53

Expanded Form:

100 + 20 + 7 + 0.5 + 0.03 = 127.53

Expanded Factors Form:

(1 × 100) + (2 × 10) + (7 × 1) + (5 × 0.1) + (3 × 0.01) = 127.53

Expanded Exponential Form:

(1 × 102) + (2 × 101) + (7 × 100) + (5 × 10-1) + (3 × 10-2) = 127.53

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