Round to significant figures

To round to a number of significant figures, count from the first non-zero digit, look at the next digit, and round up if it is 5 or more. SigFigCalc does it exactly, carrying through nines, so 9.996 to three sig figs becomes 10.0 with the zero kept to show precision. This page starts with pi to three sig figs.

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When rounding leaves placeholder zeros, as in 123000, scientific notation is shown so the precision is clear.

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

What is 0.004567 to 2 sig figs?

0.0046.

What is 123,456 to 3 significant figures?

123,000, best written 1.23 × 10⁵.

How are fives rounded?

Half away from zero: 2.5 becomes 3 and −2.5 becomes −3.

Is SigFigCalc free?

Yes, with no sign-up or ads.

Are my numbers saved?

Yes, in this browser only.

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