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Why does my child think −4 × (−3) = −12?

Your child gets the sign wrong when multiplying or dividing negative numbers, such as -4 × (-3) = -12.

Why children do it

A negative times a positive is negative, and many children stretch that to every case. The rule that two negatives make a positive feels made up until it's seen as a pattern: −4 × 2 = −8, −4 × 1 = −4, −4 × 0 = 0, so −4 × (−1) must be 4, and −4 × (−3) is 12.

How to help at home

Before working out the number, decide the sign: two negatives make a positive, one negative makes a negative.

The right way

Calculate: 8 × (−3)

  1. 8 × 3 = 24Work out the size first.
  2. −24The signs are different, so the answer is negative.

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