In 2010, the population of the United Kingdom was 6.3×1076.3 \times 10^7.

  1. (a)

    In the same year the population of Singapore was 4.7×1064.7 \times 10^6.

    How many more people lived in the United Kingdom than in Singapore in 2010?
    Give your answer in standard form, to 2 decimal places of accuracy.

    Answer (a) ...

  2. (b)

    In Singapore, John pays SGD$2.98 for one litre of petrol.
    On a visit to United Kingdom, he paid £5.88 for five litres of petrol.

    1 pound dollar (£) = 1.70 Singapore dollars (SGD).

    Is the petrol cheaper in Singapore or United Kingdom and by how much?
    Give your answer in SGD$.

    Answer (b) ..., SGD$ ...

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

13(a)

1. Express both populations using the same power of 10 and subtract the coefficients.

6.3×107−4.7×106=6.3×107−0.47×1076.3 \times 10^7 - 4.7 \times 10^6 = 6.3 \times 10^7 - 0.47 \times 10^7
=(6.3−0.47)×107= (6.3 - 0.47) \times 10^7

2. Calculate the difference and state it in standard form to 2 decimal places.

(6.3−0.47)×107=5.83×107(6.3 - 0.47) \times 10^7 = 5.83 \times 10^7
This is already in standard form since 1⩽5.83<101 \leqslant 5.83 < 10.

Answer

5.83×1075.83 \times 10^7 people

13(b)

1. Find the cost of one litre of petrol in the United Kingdom in pounds.

UK cost for 55 litres =£5.88= £5.88

Cost per litre in UK:
£5.88÷5=£1.176£5.88 \div 5 = £1.176

2. Convert the UK cost per litre from pounds to Singapore dollars.

Since £1=SGD$1.70£1 = \text{SGD}\char36{}1.70,

£1.176=1.176×1.70=SGD$1.9992£1.176 = 1.176 \times 1.70 = \text{SGD}\char36{}1.9992 per litre

3. Compare the Singapore and UK prices per litre and find the difference.

Singapore cost per litre =SGD$2.98= \text{SGD}\char36{}2.98

Difference:
2.98−1.9992=0.98082.98 - 1.9992 = 0.9808

To the nearest cent, 0.9808≈0.980.9808 \approx 0.98.

Answer

United Kingdom, SGD$1.02 cheaper per litre

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1近似数2.302.30万精确到___位,用科学记数法表示:___.
  2. 2A piece of wood which was 50 cm long, was in the shape of a uniform cylinder. A prism is cut out from the wood such that…
  3. 3中国是严重缺水的国家之一,人均淡水资源为世界人均水平的四分之一,所以我们要节约用水.若每人每天浪费水0.30.3升,则马鞍山全市230230万人每天浪费的水的总升数,用科学记数法表示为()(\quad) A. 6.9×1056.9×10^{5}…
  4. 4Mr Johnson has a plot of field that grows dandelion plants. An average of 70 dandelion plants grow on each square metre.…
  5. 5据报道,发射“天宫一号”的“长征二号”火箭的起飞质量约为493000kg.493000kg.数字493000493000用科学记数法表示为()(\quad) A. 49.3×10449.3×10^{4} B. 493×103493×10^{3} C. 4.93×1054.93×10^{5}…