# Try some yourself

## Activity 62

Give examples of all the rules for the division of and by positive and negative numbers.

### Answer

Your list should look something like this.

Dividing a positive number by a positive number gives a positive answer.

4 ÷ 2 = 2.

Dividing a negative number by a positive number gives a negative answer.

^{−}4 ÷ 2 = ^{−}2.

Dividing a positive number by a negative number gives a negative answer.

4 ÷ ^{−}2 = ^{−}2.

Dividing a negative number by a negative number gives a positive answer.

^{−}4 ÷ ^{−}2 = 2.

## Activity 63

Evaluate each of the following and where possible give an example from everyday life to illustrate the calculation.

(a) 24 ÷

^{−}4(b)

^{−}40 ÷^{−}4(c)

^{−}45 ÷ 15

### Answer

(a) 24 ÷

^{−}4 =^{−}6Thomas has lots of £4 IOUs. A gift of £24 will subtract 6 of them.

(b)

^{−}40 ÷^{−}4 = 10An IOU of £40 divided into smaller IOUs of £4 each (which could be paid off more easily from Thomas’s pocket money) gives 10 smaller IOUs.

(c)

^{−}45 ÷ 15 =^{−}3A debt of £45 shared between 15 people means each owes £3.

## Activity 64

Evaluate each of the following.

(a) 7 ×

^{−}6(b)

^{−}56 ÷^{−}7

Think of a financial context where each might be an appropriate calculation (bear in mind that negative numbers can represent debts).

### Answer

(a) 7 ×

^{−}6 =^{−}42(7 debts of £6 result in a debt of £42).

(b)

^{−}56 ÷^{−}7 = 8(a £56 debt divided into £7 debts gives eight £7 debts).

**If you have a calculator check that it gives the same answers as yours.**