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Numbers, units and arithmetic

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# Try some yourself

## Activity 62

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

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

• (a) 24 ÷ 4 = 6

• Thomas has lots of £4 IOUs. A gift of £24 will subtract 6 of them.

• (b) 40 ÷ 4 = 10

• An 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 = 3

• A 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).