Math

Significant Figures Calculator

Round a number to a chosen number of significant figures.


Significant Figures Calculator

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Rounds a number to a chosen number of significant figures, following the standard scientific convention.

How it works

The number’s order of magnitude is found first, then it’s rounded to the requested number of significant digits from its first nonzero digit.

What this does not include

This does not include scientific-notation formatting of the result — the rounded value is shown in standard decimal form.

How to use this calculator

  1. Enter a number and how many significant figures to round to.

A worked example

123.456 rounded to 3 significant figures → 123.

0.004567 rounded to 2 significant figures → 0.0046 — leading zeros before the first nonzero digit don’t count toward the significant figure total.

What the variables mean

Variable Meaning
Value The number being rounded
Significant figures How many meaningful digits to keep, starting from the first nonzero digit

Edge cases worth knowing

Leading zeros are never significant, but trailing zeros after a decimal point are. 0.0046 has exactly 2 significant figures — the leading zeros just place the decimal point.

Significant figures aren’t the same as decimal places. 123.456 to 3 sig figs is 123 (zero decimal places), while 0.004567 to 2 sig figs is 0.0046 (four decimal places) — the rule tracks meaningful digits, not a fixed position after the decimal.

Frequently asked questions

Why don’t leading zeros count as significant figures?

Leading zeros (like the 0 in 0.0046) only indicate the position of the decimal point, not measurement precision, so they’re excluded from the significant figure count.

Do trailing zeros after a decimal point count?

Yes — a number like 1.230 has 4 significant figures, since the trailing zero after the decimal indicates measured precision to that digit.

Where are significant figures commonly used?

Scientific measurements and lab reports, where the number of significant figures communicates how precisely a value was actually measured.

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Written by

J. Adeyemi

Statistics writer

J. Adeyemi writes the statistics and probability calculators, from descriptive summaries through to distributions and conditional probability. The recurring theme is scope: each page states precisely which question it answers, because most statistical mistakes come from applying a correct formula to the wrong question. Related-but-different measures get separate pages rather than being quietly merged.

Reviewed by

T. Okafor

Calculator reviewer — mathematics

T. Okafor reviews the mathematics calculators, verifying algebraic correctness and, just as importantly, behaviour at the edges — division by zero, undefined results, and the floating-point cases where a formula technically returns a number that should be reported as undefined. Every test case is recomputed independently rather than taken on trust.

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