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Order of Magnitude Calculator

Result

Order of Magnitude10^3
log₁₀(n)3.00
Nearest Power of 101,000
↗ Math

Order of Magnitude Calculate order of magnitude of a number. Formula: Order = floor(log₁₀(n)). Shows approximate scale: 100 is 10², 1000 is 10³. Used in scientific approximations. — free online calculator.

Formula

Order of magnitude exponent = floor(log10(number)); nearest power = 10^round(log10(number)).
  • Order of Magnitude Calculator calculates its result from Number. It uses the formula Order = floor(log₁₀(n)). Change any input to recalculate the result instantly.
  • The main inputs are Number. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Order of Magnitude

Inputs
  • Number: 1000

Using Number = 1000, the calculated result is 3.

Sample result: Calculating…

Frequently asked questions

What does the Order of Magnitude calculate?

Order of Magnitude Calculate order of magnitude of a number. Formula: Order = floor(log₁₀(n)). Shows approximate scale: 100 is 10², 1000 is 10³. Used in scientific approximations. — free online calculator.

Which values should I enter?

Enter Number using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Order of magnitude exponent = floor(log10(number)); nearest power = 10^round(log10(number))..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026