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VCE · Topic explainer

How do you round to significant figures?

Count significant figures from the first non-zero digit. Keep the requested number of digits, then round up if the next digit is 5 or higher. Leading zeros locate the decimal point. Zeros between significant digits count, and trailing zeros after a decimal point can show precision. Round at the end of a multi-step calculation.

Worked example

A volume calculation gives 0.003846 m³. The first three significant digits are 3, 8 and 4. The following digit is 6, so the three-significant-figure result is 0.00385 m³.

In scientific notation the same result is 3.85 × 10⁻³ m³. The power of ten gives the size of the measurement and the coefficient shows the three significant digits.

0.003846 m³. Keep 3, 8 and 4. The next digit is 6. Round to 0.00385 m³.

Official exam practice

Find other years and marking guidance in the Foundation Mathematics official exam archive.