ToolNest

Significant Figures Calculator

Count and round sig figsRuns locally · nothing uploaded

Significant figures
5
Significant digits
45600
Rounded (3 sig figs)
0.00456
Scientific notation
4.56 × 10⁻³

How it works

When to use it

  • Check sig figs in lab data or homework.
  • Round a result to a given number of significant figures.

Formula

All non-zero digits count; zeros between them count

1002 has 4.

Leading zeros never count

0.0045 has 2.

Trailing zeros count after a decimal point; in whole numbers they're ambiguous

2.50 has 3; write 1200 in scientific notation to be clear.

Worked example

Given: 0.0045600, round to 3 sig figs

  1. Leading 0.00 doesn't count; 4, 5, 6 and the two trailing zeros do.
  2. That's 5 significant figures.
  3. Rounded to 3: 0.00456 (4.56 × 10⁻³).

Result: 5 sig figs; 0.00456 to three.

Reading the result

  • Multiplying or dividing: keep the fewest sig figs of the inputs. Adding or subtracting: keep the fewest decimal places.

Limitations

  • Rounds half up using binary floating point, so a few values (e.g. 1.005 to 3 sig figs) show as 1.00. Some standards use round-half-to-even, which differs when the dropped digit is exactly 5.
  • Exact numbers (counts, defined constants) have unlimited sig figs.

How to use

  1. 1Enter a number (scientific notation like 6.02e23 is fine).
  2. 2Read the sig fig count.
  3. 3Choose how many to keep and read the rounded value.

FAQ

How do I count significant figures?

Start at the first non-zero digit and count to the last digit. Trailing zeros after a decimal point count.

How many sig figs in 1200?

It is ambiguous (2 to 4). Write 1.20 × 10³ to make it explicit.