MathIsimple
Sig Fig Practice

Sig Fig Practice

18 significant-figures practice problems with instant feedback and rule-by-rule explanations — counting, rounding, and operation rules.

18 Problems, All RulesInstant ExplanationsScore Tracking
Problem 1 of 18
Score: 0/0

How many sig figs: 4.56

How to Get the Most Out of the Problem Set

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.

The Three Traps the Set Is Built Around

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.

Frequently Asked Questions

What do these sig fig practice problems cover?
All five counting rules (nonzero digits, sandwiched zeros, leading zeros, trailing zeros with and without decimal points, scientific notation), plus rounding to n sig figs, the addition rule (fewest decimal places), the multiplication rule (fewest sig figs), and exact numbers.
What are the most commonly missed problems?
Two traps dominate: 5,300 vs 5,300. (trailing zeros without vs with a decimal point — 2 vs 4 sig figs), and mixing up the operation rules (addition rounds by decimal places, multiplication by sig figs). The set includes both traps twice in different guises.
How many sig figs does 0.00340 have?
Three: the leading zeros are placeholders, and the digits 3, 4, and the trailing 0 (which is after the decimal point, so it counts) are significant. This single example exercises three of the five rules at once, which is why it's a classic exam item.
Why does 12.52 + 1.7 round to 14.2 and not 14?
Addition rounds to the fewest decimal places (one, from 1.7), not the fewest sig figs. The raw sum 14.22 becomes 14.2. Rounding it to 14 — two sig figs, matching 1.7 — applies the multiplication rule to an addition problem, the single most common operation-rule error.
Is this enough practice for chemistry class?
The 18 problems cover every rule pattern that appears on standard chemistry and physics assessments. For calculation-heavy homework, pair it with our significant figures calculator, which rounds any expression and shows which input limited the result.
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