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Tricks · Multiplying

Double and halve

One number is even and the other ends in 5, such as 16 × 35 or 24 × 25.

a × b

The trick, step by step

  1. Halve the even number: 16 becomes 8.

  2. Double the other: 35 becomes 70.

  3. Multiply the easy pair: 8 × 70 = 560, so 16 × 35 = 560.

  4. If the new pair is still hard, do it again: 24 × 25 = 12 × 50 = 6 × 100 = 600.

given working answer taken away

Why it works

(a ÷ 2) × (b × 2) = a × b, because halving and doubling cancel out. Think of a rectangle 16 by 35 cut in half and put end to end: 8 by 70, the same area.

Practise this trick