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Expanded Form Calculator

Work out expanded form instantly with clear inputs, formula shown and shareable results.

About Expanded Form Calculator

Expanded form writes a number as the sum of what each digit contributes. Zero digits contribute nothing, so they are omitted from the sum.

Formula

Expanded form

5407 = 5000 + 400 + 7 = 5×10³ + 4×10² + 7×10⁰

Worked example

With the default values below, Expanded Form Calculator returns Expanded form of 5000 + 400 + 7. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number
5,407
Expansion styleone of Sum of place values, Digit times power of ten
Sum of place values

Results

Expanded form
5000 + 400 + 7
Non-zero terms
3
Total digits
4
Sum of the digits
16

Step by step

  1. 1Values used
  2. 2Expanded form
  3. 3Expanded form= 5000 + 400 + 7
  4. 4Non-zero terms= 3
  5. 5Total digits= 4
  6. 6Sum of the digits= 16

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 5407 in expanded form?

5000 + 400 + 7. The zero in the tens place contributes nothing.

Why show powers of ten?

It makes the base-ten structure explicit, which is the bridge to scientific notation and to other bases.

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