Multiplying and Dividing with Negatives

Multiplying with Negatives

There's a simple rule here:

  • (positive) × (positive) = (positive)
  • (positive) × (negative) = (negative)
  • (negative) × (positive) = (negative)
  • (negative) × (negative) = (positive)

Example:

  • (3)(7) = 21
  • (3)(–7) = –21
  • (–3)(7) = –21
  • (–3)(–7) = 21

Important Thing To Notice:

Since a positive times a positive is positive, and a negative times a negative is also positive, it follows that any number times itself is either zero or positive.

  • (12)(12) = 144
  • (–12)(–12) = 144

Dividing with Negatives

The same rule works with division:

  • (positive) ÷ (positive) = (positive)
  • (positive) ÷ (negative) = (negative)
  • (negative) ÷ (positive) = (negative)
  • (negative) ÷ (negative) = (positive)

Example:

  • 56 ÷ 7 = 8
  • 56 ÷ (–7) = –8
  • –56 ÷ 7 = –8
  • –56 ÷ (–7) = 8