Significant figures

Significant figures

Secondary 1
TGM Original — E Math Summary Notes (4052), 2026 editorial manuscript

Significant figures count from the first nonzero digit. Zeros between significant digits count, and trailing zeros after a decimal point count. Leading zeros locate the decimal point but do not count.

Example

\(0.004087\approx0.00409\) to \(3\) significant figures. \(20.030\) has \(5\) significant figures.

To \(3\) significant figures, \(98765\approx98800\). Writing \(9.88\times10^4\) makes those three significant figures explicit; the bare integer \(98800\) does not by itself state how many final zeros are significant.

Significant figures and decimal places are different: \(0.00409\) has \(3\) significant figures and \(5\) decimal places.

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