ToolBark
Math

Significant Figures Calculator

Count sig figs instantly — and round any number to N significant figures

Enter a Number

Results

Significant Figures7in  00204.5600

Digit breakdown

0not
0not
2sig
0sig
4sig
5sig
6sig
0sig
0sig

Red = significant  |  Strikethrough = not significant

Rounded to 3 significant figures

205
Why each digit is (or isn't) significant
DigitSignificant?Reason
0NoLeading zero
0NoLeading zero
2YesNon-zero digit
0YesCaptive zero
4YesNon-zero digit
5YesNon-zero digit
6YesNon-zero digit
0YesTrailing zero after decimal
0YesTrailing zero after decimal

Sig Fig Rules

  1. All non-zero digits are always significant.
  2. Zeros between non-zero digits (captive zeros) are significant.
  3. Leading zeros (e.g. 0.0042) are never significant.
  4. Trailing zeros after a decimal point (e.g. 3.500) are significant.
  5. Trailing zeros in a whole number without a decimal point (e.g. 1300) are ambiguous — treated as not significant here.
About

A significant figures calculator helps students, scientists, and engineers count sig figs accurately and round numbers to the correct precision. Whether you are working on a chemistry lab report, a physics problem set, or an engineering calculation, this tool instantly identifies every significant digit in your number, explains why each digit counts or does not, and rounds the result to however many sig figs you need.

FAQ
How do I count significant figures in a number like 0.00420?+

Leading zeros are never significant, so the two zeros before 4 do not count. The digits 4, 2, and the trailing zero after the decimal point all count — giving 0.00420 exactly 3 significant figures.

Are trailing zeros in a whole number like 1300 significant?+

It depends on context. Without a decimal point, trailing zeros in whole numbers are ambiguous. This calculator conservatively treats them as not significant (so 1300 has 2 sig figs). Writing '1300.' with an explicit decimal point would make all four digits significant.

How do I round 6.7842 to 3 significant figures?+

Identify the third significant digit (8), then look at the next digit (4). Since 4 < 5, round down, giving 6.78. The calculator handles this automatically — just type the number and set N to 3.

What are captive zeros and why are they always significant?+

Captive zeros (also called trapped or sandwiched zeros) are zeros that sit between two non-zero digits, such as the zero in 4.06 or 1002. Because they represent a measured value between known non-zero digits, they must be counted as significant.

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