Skip to content
Skip to main content

About this free course

Download this course

Share this free course

Numbers, units and arithmetic
Numbers, units and arithmetic

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Try some yourself

Activity 38

Evaluate each of the following:

  • (a) 7.9 × 0.8

  • (b) 82.3 × 40

  • (c) 7.20 ÷ 0.8

  • (d) 62.30 ÷ 40

Answer

  • (a) 7.9 × 0.8 = 6.32

  •   (multiply by 8 then shift the digits one place to the right).

  • (b) 82.3 × 40 = 3292

  •   (multiply by 4 then shift the digits one place to the left).

  • (c) equation sequence part 1 7.2 division 0.8 equals part 2 7.2 divided by 0.8 equals part 3 7.2 multiplication 10 divided by 0.8 multiplication 10 equals part 4 72 divided by eight equals part 5 nine full stop

  • (d) equation sequence part 1 62.3 division 40 equals part 2 62.3 divided by 40 equals part 3 6.23 divided by four equals part 4 1.5575 full stop

Activity 39

Use your answer to Activity 38 above to evaluate the following.

  • (a) Special cheese is £7.90 per kilo. How much does 0.8 kilos cost?

  • (b) Petrol is 82.3p per litre. How much does 40 litres cost?

  • (c) The till receipt showed the cheese cost £7.20, and you bought 0.8 kilos. How much was it per kilo?

  • (d) The bill was £62.30 for 40 small children’s party hats. How much were they each? Was there an error in the bill or a discount?

Answer

  • (a) 0.8 kilos of cheese costs 0.8 × £7.90 = £6.32.

  • (b) 40 litres of petrol costs 40 × 82.3p = 3292p = £32.92.

  • (c) The cheese costs £7.20 ÷ 0.8 = £9 per kilo.

  • (d) Each hat costs £62.30 ÷ 40 = £1.5575 each, but they must be a whole number of pence each so only two decimal places are meaningful. Hence there was either an error or some discount.