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Calculators/Maths/Order of magnitude
Maths

Order of magnitude calculator

The power of ten closest to a number, used to compare sizes at a glance.

What this calculator does

Order of magnitude works out the power of ten closest to a number, used to compare sizes at a glance. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaOrder of magnitude = floor(log₁₀|x|), so x ≈ 10^floor(log₁₀|x|)

The inputs explained

FieldWhat to enter
NumberA number. Starts at 4300.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with number

Every other input is held at the calculator’s starting values while number varies. Select any row to load that scenario into the calculator.

How the answer changes with number
NumberOrder of magnitudeNearest power of tenIn scientific notation
2,15031,0002.150 × 10^3
3,22531,0003.225 × 10^3
4,30031,0004.300 × 10^3
6,45031,0006.450 × 10^3
8,60031,0008.600 × 10^3
12,900410,0001.290 × 10^4