Multiplying and dividing integers

The sign rules for multiplying and dividing positive and negative integers, with patterns that show why a negative times a negative is positive.

The sign rules

Count the negative signs. An even number of negatives gives a positive answer. An odd number gives a negative answer.

Example 1●

Find (a) $-7 \times 6$ and (b) $-56 \div (-8)$.

(a) $-42$

Different signs

(b) $7$

Same signs

Example 2●●

Find $(-2) \times (-3) \times (-5)$.

Three negatives (odd), so the answer is negative.

$2 \times 3 \times 5 = 30$, so the answer is $-30$.

Flashcards

negative × negative

positive

positive ÷ negative

negative

Four negative factors

positive answer (even number)

Practice