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Tricks · Adding and taking away

Subtract by rounding

Taking away a number that ends in 7, 8 or 9, such as 83 − 29 or 612 − 198.

a − 29

The trick, step by step

  1. Round up the number you take away: 29 is 1 less than 30.

  2. Take away the round number: 83 − 30 = 53.

  3. You took away 1 too many, so add it back: 53 + 1 = 54.

given working answer taken away

Why it works

a − b = a − (B − k) = a − B + k. Taking away B takes away k too many, so k goes back on.

Practise this trick