Both positive and negative numbers can be multiplied and divided using rules. Two signs the same gives a positive answer. Two different signs give a negative answer. More difficult multiplication can be carried out using the grid or column method. Division can be worked out using short or long division.

The rule for multiplying and dividing is very similar to the rule for adding and subtracting.

- When the signs are
**different**the answer is**negative**. - When the signs are the
**same**the answer is**positive**.

- Question
Calculate:

a) \(5 \times -4\)

b) \(-40 \div -8\)

a) We have \({+5}\) and \({-4}\). The signs are different, so the answer will be negative. So, \(+5 \times -4 = -20\)

b) We have \({-40}\) and \({-8}\). The signs are the same, so the answer will be positive. So, \(-40 \div -8 = 5\)

- Question
Work out \(-4 \times 3\).

\[-4 \times 3 = -12\]

- Question
Work out \(12 \div (-4)\).

\[12 \div (-4) = -3\]

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

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