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4MA1/2HR Jun 2019, Question 9: Standard Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks

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The question, in short

Convert 840 000 to standard form, then divide 6 × 10⁷ by 8 × 10⁻² and give the result in standard form.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Write 840 000 in standard form.

  1. 1Move the decimal point so the number is between 1 and 10: 8.4
  2. 2840 000 = 8.4 × 100 000 = 8.4 × 10⁵

Answer8.4 × 10⁵

Part (b) · 2 marks

Work out (6 × 10⁷) ÷ (8 × 10⁻²), giving the answer in standard form.

  1. 1Divide the numbers: 6 ÷ 8 = 0.75
  2. 2Subtract the powers: 10⁷ ÷ 10⁻² = 10⁹
  3. 30.75 × 10⁹ = 7.5 × 10⁸

Answer7.5 × 10⁸

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