Significant Figures Calculator

Count significant figures and perform arithmetic operations with proper sig fig rules

Significant Figures Calculator

Enter a number (e.g., 24.0725) or an expression (e.g., 3.14 / 7.58 - 3.15)

Example Calculations

Example 1: Counting Sig Figs

Input: 24.0725
Significant Figures: 6
Explanation: All non-zero digits and zeros between them count

Example 2: Leading Zeros

Input: 0.004562
Significant Figures: 4
Explanation: Leading zeros don't count, only 4, 5, 6, 2

Example 3: Whole Numbers

Input: 100
Significant Figures: 1
Explanation: Trailing zeros without decimal point don't count

Significant Figures Rules

1.All non-zero digits are significant
2.Zeros between non-zero digits are significant
3.Leading zeros (before first non-zero digit) are not significant
4.Trailing zeros are significant only if there's a decimal point
5.In scientific notation, all digits in the coefficient are significant

Operation Rules

Addition & Subtraction

Result has same number of decimal places as the least precise value

Multiplication & Division

Result has same number of significant figures as the least precise value

Mixed Operations

Apply rules at each step, don't round intermediate results

Understanding Significant Figures

What are Significant Figures?

Significant figures (sig figs) are all the digits that indicate the precision of a measurement. Every measurement has some degree of uncertainty due to the limitations of the measuring instrument. Significant figures help us express this uncertainty properly in calculations.

Why are they Important?

  • Prevent false precision in calculations
  • Communicate measurement uncertainty
  • Essential for scientific accuracy
  • Required in chemistry and physics

Common Examples

0.00208
3 sig figs (2, 0, 8)
100.10
5 sig figs (all digits)
1.200 × 10³
4 sig figs (1, 2, 0, 0)

Pro Tip: When in doubt, scientific notation makes significant figures clearer. Write 1200 as 1.2 × 10³ (2 sig figs) or 1.200 × 10³ (4 sig figs).