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4MA1/1H Jun 2020, Question 5: Standard Form

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

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The question, in short

Convert numbers between standard form and ordinary form, then evaluate an expression involving numbers in standard form.

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

Part (a) · 1 mark

Write 5.7 × 10⁻³ as an ordinary number.

  1. 1A power of 10⁻³ moves the digits three places to the right
  2. 25.7 × 10⁻³ = 0.0057

Answer0.0057

Part (b) · 1 mark

Write 800 000 in standard form.

  1. 1800 000 = 8 followed by five zeros
  2. 2So 800 000 = 8 × 10⁵

Answer8 × 10⁵

Part (c) · 2 marks

Work out (3 × 10⁵ − 2.7 × 10⁴) ÷ (6 × 10⁻²).

  1. 1Top: 3 × 10⁵ = 300 000 and 2.7 × 10⁴ = 27 000, so the top is 300 000 − 27 000 = 273 000
  2. 2Bottom: 6 × 10⁻² = 0.06
  3. 3273 000 ÷ 0.06 = 4 550 000

Answer4 550 000

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