Boneyard Tools

Significant Figures Calculator

Type any number to count its significant figures, then optionally round it to a chosen number of sig figs. The rounded output is shown as a string that keeps trailing zeros, so a value like 2.00 clearly signals three-figure precision. Counting works by reading the number's exponential form, which strips leading zeros and insignificant trailing zeros automatically.

How to count and round significant figures

  1. Type the number into the Number field; decimals and a leading minus sign are fine.
  2. Read the significant figure count in the left result card.
  3. Keep 'Round to a number of significant figures' checked to also round the value.
  4. Enter how many sig figs to keep in the 'Round to (sig figs)' field.
  5. Copy the rounded result with the Copy button; it preserves trailing zeros.

Examples

Count and round a five-digit integer

12345 rounded to 3 sig figs
5 significant figures, rounded to 12300

Round a small decimal

0.0789 rounded to 2 sig figs
3 significant figures, rounded to 0.079

Trailing zeros preserved on rounding

2 rounded to 3 sig figs
1 significant figure, rounded to 2.00

Frequently asked questions

What counts as a significant figure?

All non-zero digits are significant, zeros sitting between non-zero digits are significant, and trailing zeros after a decimal point are significant. Leading zeros, such as those in 0.0045, are never significant and are only there to place the decimal point.

How does the tool count the figures?

It reads the number in exponential form and counts the mantissa digits. Exponential form drops leading zeros and any insignificant trailing zeros automatically, so 12345 shows as 1.2345 and counts as 5, while 0.0045 shows as 4.5 and counts as 2.

Why does the count sometimes look low for trailing zeros?

The input is read as a numeric value, so a figure like 0.004560 is stored as 0.00456 and the final zero is lost, giving 3 significant figures. Trailing zeros on a whole number, such as 1500, are genuinely ambiguous, and this tool treats them as not significant, so 1500 counts as 2.

How does rounding to significant figures work?

The calculator locates the place value of the leading digit, then rounds so exactly the requested number of significant digits remain. Rounding 12345 to 3 sig figs finds the digit in the ten-thousands place and produces 12300; rounding 0.0789 to 2 gives 0.079.

Why does the rounded result keep extra zeros?

The rounded value is shown as a string with exactly the requested number of significant digits, so trailing zeros are kept to make the precision explicit. Rounding 2 to 3 sig figs is shown as 2.00, which clearly signals three significant figures rather than one.

How are half-way values rounded?

Rounding is standard nearest-value rounding, with a digit of exactly 5 pushed up to the next value. Note that because decimals are stored in binary, a number that looks like an exact half may be a hair above or below, so the result can occasionally surprise you at the boundary.

How many significant figures does zero have?

Zero is a special case with no non-zero digit to anchor the count. By the common convention used here, this calculator reports zero as having 1 significant figure, and rounding zero returns zero.

Do negative numbers and scientific notation work?

Yes. The minus sign is ignored for counting, so -12345 has the same 5 significant figures as 12345. You can type input in scientific form like 4.56e-3, and very large or tiny rounded results are collapsed back into plain decimal notation where that is reasonable.

Is anything I type sent to a server?

No. The counting and rounding run entirely in your browser. Nothing you enter is uploaded or stored, so the tool works offline once the page has loaded.

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