Rounding and estimation

Most real-life math does not need an exact answer — it needs a quick, sensible one. Is 48 × 21 about 100, 1,000 or 10,000? Round to 50 × 20 and you know in a second: about 1,000.

Two lessons: rounding (to any place, with the "5 or more rounds up" rule) and estimating (round each number to its first digit, then calculate). Estimation is also the best way to check an exact answer — including one from a calculator.

Method 1 · Level 1

How to Round Numbers

Look at the digit just after the place you round to: 5 or more rounds up, 4 or less stays. 3,478 to the nearest 100: the next digit is 7, so 3,500.

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Method 2 · Level 2

How to Estimate Answers

Round each number to its first digit, then calculate: 48 × 21 ≈ 50 × 20 = 1,000. Fast, and good enough to catch big mistakes.

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Tip: Estimate before you calculate, then compare: if the exact answer is far from the estimate, one of them has a mistake.