18 significant-figures practice problems with instant feedback and rule-by-rule explanations — counting, rounding, and operation rules.
How many sig figs: 4.56
The 18 problems are sequenced by rule: pure counting first (problems 1-10), then rounding and the two operation rules. Work a full pass without notes, read every explanation — including for correct answers, since guessing right on 5,300 is common — then review whatever pattern you missed on the rules page and restart. Two clean passes generally means the counting rules are automatic, which is the point: on timed exams, sig figs should cost seconds, not thought.
Trap 1 — the invisible decimal point: 5,300 has 2 sig figs but 5,300. has 4; a single dot changes the claim. Trap 2 — leading zeros that look important: 0.0007 has one sig fig no matter how many zeros precede the 7. Trap 3 — the operation-rule swap: addition rounds by decimal places, multiplication by sig figs, and applying the wrong one produces answers that look plausible but lose points. Each trap appears at least twice in the set in different costumes. For automated checking of full calculations, use the significant figures calculator.
Calculate complex expressions and apply significant figures rules automatically with step-by-step explanations.
All 5 sig-fig rules with examples, a live counter that names the rule, and the addition vs multiplication rounding rules.
Round numbers to any decimal place using different methods (round half up, ceiling, floor, truncate) with explanations.