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4MA1/2FR Jun 2024, Question 25: Standard Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

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The question, in short

Convert numbers between standard form and ordinary form, then evaluate a division of standard form values, giving 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

Express 6.04 × 10⁵ as an ordinary number.

  1. 1A power of 10⁵ moves the digits five places to the left
  2. 26.04 × 10⁵ = 604 000

Answer604 000

Part (b) · 1 mark

Write 0.000 07 in standard form.

  1. 10.000 07 has the 7 in the fifth decimal place
  2. 2So 0.000 07 = 7 × 10⁻⁵

Answer7 × 10⁻⁵

Part (c) · 2 marks

Calculate (7.6 × 10¹⁰) ÷ (4 × 10⁵ − 2 × 10⁴) and give the answer in standard form.

  1. 1Bottom: 4 × 10⁵ = 400 000 and 2 × 10⁴ = 20 000
  2. 2400 000 − 20 000 = 380 000, which is 3.8 × 10⁵
  3. 3Divide: 7.6 ÷ 3.8 = 2 and 10¹⁰ ÷ 10⁵ = 10⁵
  4. 4So the answer is 2 × 10⁵

Answer2 × 10⁵

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