Significant Figures Calculator

Rules guide

Significant Figures Rules

The core rules are simple once you separate placeholders from measured precision.

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Non-zero digits count

Every non-zero digit is significant. In 347, all three digits count because each communicates measured precision.

Leading zeros do not count

Zeros before the first non-zero digit only locate the decimal point. In 0.00450, the zeros before 4 are not significant.

Captive zeros count

Zeros between non-zero digits are significant. In 1002, the two zeros are counted because they sit between measured digits.

Trailing zeros depend on notation

Trailing zeros after a decimal point count. Whole-number trailing zeros without a decimal point are ambiguous, so 100 may mean 1, 2, or 3 significant figures.

Arithmetic uses operation-specific rules

Addition and subtraction follow decimal-place precision. Multiplication and division follow the fewest significant figures.