SigFig Calculator Pro
Advanced Significant Figures Calculator
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Significant Figures Rules
Rule 1: Non-Zero Digits
All non-zero digits are significant. For example, 123.45 has 5 significant figures.
Rule 2: Zeros Between Non-Zero Digits
Zeros between non-zero digits are significant. For example, 101.205 has 6 significant figures.
Rule 3: Leading Zeros
Leading zeros are never significant. For example, 0.0045 has 2 significant figures.
Rule 4: Trailing Zeros
Trailing zeros are significant only if the number contains a decimal point. For example, 1200 has 2 significant figures, but 1200.0 has 5.
Calculation Examples
Addition Example
Problem: 12.35 + 1.2 = ?
Solution: 12.35 + 1.2 = 13.55 → 13.6 (rounded to 1 decimal place, matching the least precise number)
Multiplication Example
Problem: 3.65 × 8.4 = ?
Solution: 3.65 × 8.4 = 30.66 → 31 (rounded to 2 significant figures, matching the number with the least sig figs)
Division Example
Problem: 125.5 ÷ 5.0 = ?
Solution: 125.5 ÷ 5.0 = 25.1 → 25.1 (rounded to 3 significant figures, matching the number with the least sig figs)
Frequently Asked Questions
Significant figures (sig figs) are the digits in a number that carry meaning contributing to its precision. They include all digits except leading zeros, trailing zeros when they are placeholders, and some digits introduced by calculations.
To count significant figures: 1) Non-zero digits are always significant, 2) Zeros between non-zero digits are significant, 3) Leading zeros are never significant, 4) Trailing zeros are significant only if the number contains a decimal point.
For multiplication and division, the result should have as many significant figures as the measured number with the least number of significant figures. For example, 3.65 (3 sig figs) × 8.4 (2 sig figs) = 30.66, which should be rounded to 31 (2 sig figs).
For addition and subtraction, the result should have as many decimal places as the measured number with the least number of decimal places. For example, 12.35 (2 decimal places) + 1.2 (1 decimal place) = 13.55, which should be rounded to 13.6 (1 decimal place).
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