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4MA1/1H Jan 2020, Question 6: Standard Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

Convert 7.8 × 10⁻⁴ to an ordinary number, then evaluate (5.6 × 10⁴ + 7 × 10³) ÷ (2.8 × 10⁻³) 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 7.8 × 10⁻⁴ as an ordinary number.

  1. 1A power of 10⁻⁴ moves the digits four places to the right
  2. 27.8 × 10⁻⁴ = 0.00078

Answer0.00078

Part (b) · 2 marks

Work out (5.6 × 10⁴ + 7 × 10³) ÷ (2.8 × 10⁻³), giving the answer in standard form.

  1. 1Top: 5.6 × 10⁴ = 56000 and 7 × 10³ = 7000, so the top is 56000 + 7000 = 63000
  2. 2Bottom: 2.8 × 10⁻³ = 0.0028
  3. 363000 ÷ 0.0028 = 22500000
  4. 4In standard form that is 2.25 × 10⁷

Answer2.25 × 10⁷

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