Sig Fig Calculator

Count the significant figures in a number and round it to any number of significant figures. Example: 0.004560 has 4 significant figures, and rounded to 2 it becomes 0.0046.

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Significant Figures Calculator

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Type the problems from this lesson and check each step.

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How to use the Sig Fig Calculator

  1. Type the number, including any decimal point or e-notation.
  2. Choose how many significant figures to round to.
  3. Press Calculate for the count and the rounded value.

Formula and method

Significant figures: all non-zero digits, zeros between non-zero digits, and trailing zeros after a decimal point. Leading zeros do not count. To round, keep the first n significant digits and round the last one.

Worked examples

Number Sig figs Why
0.004560 4 Leading zeros skipped; trailing 0 counts
1200 2 Trailing zeros are placeholders
1200. 4 Decimal point makes them count
100.0 4 Trailing zero after the point counts
3.00e5 3 Digits in the mantissa count
40.05 4 Zero between digits counts

The five rules

Non-zero digits count. Zeros between non-zero digits count. Leading zeros do not. Trailing zeros count only with a decimal point. Exact numbers, such as counts, have unlimited significant figures.

Sig figs in calculations

When multiplying or dividing, the answer has as many significant figures as the input with the fewest. When adding or subtracting, match the least number of decimal places.

Frequently asked questions

What are significant figures?

The digits in a number that carry meaningful precision.

How many sig figs are in 0.00250?

Three.

Do trailing zeros count?

Only if there is a decimal point.

How do I round to 3 sig figs?

Keep three significant digits and round the last one by the next digit.

Do leading zeros count?

No.

Do exact numbers have sig figs?

They are treated as unlimited.

Sources

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