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