Significant Figures

AspectDetailsExamples
Types of ValuesExact (counted) vs Measured (contains uncertainty)3 pencils (exact), 17.05 cm (measured)
General RulesNonzero digits significant, leading zeros not significant, trailing zeros after decimal are significant100.8 (4 significant figures), 0.00290 (3 significant figures)
ExamplesScientific notation for clarity100.8 = 1.008 × 10² s, 0.00580 = 5.80 × 10⁻³ km, 210.0 = 2.100 × 10² g
Rounding Off NumbersRules for whole numbers and decimal numbersTwo Decimal Points: 3.876 → 3.88, 657.873 → 657.87, 0.0857 → 0.09
Three Significant Digits: 24.68 → 24.7, 0.07683 → 0.0768, 7,847 → 7,850
PlantUML Diagram