Significant figures rules

There are five rules for counting significant figures. Non-zero digits are always significant. Zeros between non-zero digits are significant. Leading zeros are never significant. Trailing zeros are significant only if the number has a decimal point. Exact counts and defined constants have unlimited significant figures. SigFigCalc applies these rules to any number you type.

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For calculations, addition uses decimal places and multiplication uses sig figs.

How the sig fig calculator works

SigFigCalc reads your number as text, not as a floating-point value, so it never loses trailing zeros or picks up computer rounding errors. It finds the first non-zero digit, then decides how far the significant digits run: to the very last digit if there is a decimal point, or to the last non-zero digit if there is not. Any zeros after that in a whole number are marked as ambiguous.

Examples

NumberSig figsWhy
4,5074The zero is between non-zero digits
0.04503Leading zeros do not count; the trailing zero does
12002 (up to 4)Trailing zeros without a decimal point are ambiguous
1200.4The decimal point makes the zeros significant
6.022 × 10²³4Only the digits before the power of ten count

Calculations

Sums and differences are rounded to the least precise decimal place among the inputs. Products and quotients are rounded to the fewest significant figures among the inputs. SigFigCalc computes the exact answer first with big-number decimal arithmetic, then rounds once, half away from zero. For long problems, keep all digits until the final step. Everything is calculated in your browser.

Frequently asked questions

Is 0 a significant figure?

It depends where it is: between digits yes, leading no, trailing only with a decimal point.

How many sig figs in 1.00 × 10³?

Three.

Why do sig figs matter?

They show how precise a measurement is, so answers do not claim more precision than the data.

Is SigFigCalc free?

Yes, with no sign-up or ads.

Are my numbers saved?

Yes, in this browser only.

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