Multiplying and dividing negative numbers

The rules for multiplying and dividing numbers are:

  • two signs that are different become a negative sign
  • two signs that are the same become a positive sign
Multiplying or dividing a positive and negative number, produces a negative result. Multiplying or dividing a positive and positive, or negative and negative number, produces a positive result

Examples

  • Same signs give a positive: (-4) \times (-5) = 20
  • Same signs give a positive: 20 \div 5 = 4
  • Different signs give a negative: (-14) \div 2 = -7
  • Different signs give a negative: 14 \div -2 = -7
Question

Work out -4 \times 3.

-4 \times 3 = -12

Question

Work out 12 \div (-4).

12 \div (-4) = -3

Question

Work out (-5) \times (-6).

(-5) \times (-6) = 30

Move on to Test
next