Science maths

Significant Figures Calculator

Find out how many significant figures a number has, with every digit colour-coded and the rule that applies, round to any number of sig figs, or do arithmetic with the correct rounding rules for lab work.

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Digits

significant not significant ambiguous

Explanation

    Runs entirely in your browser. Nothing is uploaded to any server.

    Why use this sig fig calculator

    See every digit

    Colour-coded digits show exactly which ones count and why.

    Exact rounding

    Numbers are rounded as text, so 2.675 never turns into 2.67 by accident.

    Lab-ready arithmetic

    Applies the right rule for addition versus multiplication.

    How to count significant figures

    1. Type the numberDecimals, whole numbers and scientific notation all work.
    2. Read the coloursGreen digits are significant, grey are not, orange are ambiguous.
    3. Round or calculatePick a number of sig figs, or switch to calculate mode.

    The rules for significant figures

    All non-zero digits are significant. Zeros between them are significant. Leading zeros, such as those in 0.0045, only place the decimal point and are not significant. Trailing zeros are significant when there is a decimal point (2.50 has three) but ambiguous in a whole number without one (2500 could have two, three or four).

    When multiplying or dividing, the answer has as many significant figures as the least precise input. When adding or subtracting, it is the number of decimal places that matters: round the answer to the last decimal position that both numbers know.

    0.004050

    Four significant figures: 4, 0, 5 and the final 0.

    1200 vs 1200.

    Two significant figures versus four.

    6.022 × 10²³

    Four significant figures, from the coefficient only.

    Significant figures FAQ

    Are trailing zeros significant?

    Yes if the number has a decimal point, such as 3.400. In whole numbers like 3400 they are ambiguous, so this calculator does not count them unless you write 3400. or use scientific notation.

    How do I round 0.0004567 to 2 significant figures?

    Skip the leading zeros, keep the first two significant digits 4 and 5, look at the next digit 6, round up: 0.00046.

    Why does addition use decimal places instead of significant figures?

    When you add, the uncertainty comes from the least precise decimal position, not from the number of digits. 12.11 + 0.3 is only known to the tenths place.

    Are exact numbers limited by significant figures?

    No. Counted values and defined constants, like 12 eggs or 100 cm in a metre, have unlimited significant figures and do not limit the answer.

    How is rounding done?

    With the common round-half-up rule on the exact digits you typed: a following digit of 5 or more rounds up.

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