Sig figs multiplication and division

For multiplication and division the rule is different from addition: the answer keeps as many significant figures as the input with the fewest. 1.2 has two and 3.45 has three, so 1.2 × 3.45 = 4.14 is reported as 4.1. SigFigCalc shows the exact answer, the limiting number and the rounded result.

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In multi-step problems, keep extra digits until the final step and round once at the end.

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 the sig fig rule for multiplication?

Use the smallest number of significant figures among the factors.

What is 100. ÷ 3.0 with sig figs?

33, because 3.0 has two sig figs.

Do I round in the middle of a calculation?

No, round only the final answer.

Is SigFigCalc free?

Yes, with no sign-up or ads.

Are my numbers saved?

Yes, in this browser only.

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