Scientific Notation Practice
An endless supply of never-repeating problems with instant feedback. Convert both directions, count the hops, multiply powers of 10, and compare magnitudes — one problem at a time.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.
Score 0 · Streak 0 · Problem 0
Score counts first-try correct answers. Streak counts consecutive correct answers.
Convert to scientific notation
How to enter answers
- Scientific notation: type
3.2×10^4directly. We also accept3.2x10^4,3.2*10^4, or3.2e4. Spacing does not matter. - Proper form required: the coefficient must satisfy 1 ≤ N < 10 —
32×10^3is marked wrong for 32,000 (hop once more:3.2×10^4). - Standard form: type the plain number, e.g.
0.0025or250000.
2 What you’ll practice
Every problem is generated fresh from 12 templates — a problem never repeats until its whole pool is used up.
Convert to scientific notation
Count the hops for big numbers, small decimals, plain integers, and numbers already near 1.
32,000 → 3.2×10^4 · 0.00045 → 4.5×10^-4
Convert to standard form
Hop the decimal the other way: positive exponents grow the number, negative exponents shrink it.
2.5×10^5 → 250,000 · 1.6×10^-3 → 0.0016
Multiply & compare
Multiply coefficients, add exponents, renormalize — plus hop-counting and magnitude comparisons.
(6×10^4)(5×10^2) → 3×10^7