How to Calculate Expanded Form
What is Expanded Form?
Expanded form expresses a number as the sum of each digit multiplied by its place value. For example, 4,523 = 4,000 + 500 + 20 + 3 = (4 × 1000) + (5 × 100) + (2 × 10) + (3 × 1). It reinforces understanding of the base-10 number system.
Step-by-Step Guide
- 1Identify the place value of each digit (ones, tens, hundreds, thousands...)
- 2Multiply each digit by its place value
- 3Write as a sum of these products
- 4Expanded notation: 4,523 = 4 × 10³ + 5 × 10² + 2 × 10¹ + 3 × 10⁰
Worked Examples
Input
7,304
Result
7,000 + 300 + 0 + 4
(7×1000) + (3×100) + (0×10) + (4×1)
Input
0.536
Result
0.5 + 0.03 + 0.006
(5×0.1) + (3×0.01) + (6×0.001)
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