Math

Significant Figures Calculator

Count significant figures under an explicit decimal convention and round a number to your chosen precision.

Exact method explained belowEditable inputs
Calculation notebook
Calculation notebook

The formula and worked example below explain the calculation.

See the method

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Your answer

Your result

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Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter number, preserving written zeros, significant figures for rounding.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Number, preserving written zerosEnter text using the format shown in the sample.0.004560
Significant figures for roundingWhole numbers only. Minimum: 1. Maximum: 15.3

Result for these sample inputs

0.00456
Input significant figures under stated convention
4
Rounded to
3

Integer trailing zeros without a decimal point are treated as placeholders. Use 1.200e3 to explicitly indicate four significant figures.

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Leading zeros are not significant. Trailing zeros after a decimal point are significant. Integer trailing zeros without a decimal point are treated as placeholders; scientific notation can remove that ambiguity. Rounding uses decimal precision on the browser’s floating-point value.

A WORKED EXAMPLE

Using number, preserving written zeros = 0.004560, significant figures for rounding = 3, the result is 0.00456. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Zero is excluded because significant-figure meaning depends on its stated measurement uncertainty. Floating-point rounding may differ at exact decimal ties. This tool does not perform uncertainty propagation. Finite-precision arithmetic is used. Check the domain and the stated convention before using an approximation.

Methodology maintained by ClarityKit. How these tools are built and checked.