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4MA1/1HR Jan 2022, Question 8: Standard Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Convert between standard form and ordinary numbers, then divide two numbers in standard form 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 5 × 10⁴ as an ordinary number.

  1. 15 × 10⁴ = 5 × 10000
  2. 25 × 10000 = 50 000

Answer50 000

Part (b) · 1 mark

Write 0.000 06 in standard form.

  1. 1Move the decimal point 5 places right to get 6
  2. 20.000 06 = 6 × 10⁻⁵

Answer6 × 10⁻⁵

Part (c) · 2 marks

Work out (4 × 10⁵¹²) ÷ (1.6 × 10⁷⁰⁰), giving the answer in standard form.

  1. 1Divide the numbers: 4 ÷ 1.6 = 2.5
  2. 2Subtract the powers: 10⁵¹² ÷ 10⁷⁰⁰ = 10⁻¹⁸⁸
  3. 3Answer: 2.5 × 10⁻¹⁸⁸

Answer2.5 × 10⁻¹⁸⁸

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