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4MA1/2H Jan 2021, Question 6: Standard Form

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

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The question, in short

State the value of y to the power zero, then evaluate an expression with 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 down the value of y⁰.

  1. 1Anything (other than 0) to the power 0 is 1
  2. 2So y⁰ = 1

Answer1

Part (b) · 3 marks

Work out (9.6 × 10¹⁴¹ + 6.4 × 10¹⁴⁰) ÷ (3.2 × 10¹⁶), giving the answer in standard form.

  1. 1Write both terms on the top with the same power: 9.6 × 10¹⁴¹ = 96 × 10¹⁴⁰
  2. 296 × 10¹⁴⁰ + 6.4 × 10¹⁴⁰ = 102.4 × 10¹⁴⁰
  3. 3102.4 × 10¹⁴⁰ = 1.024 × 10¹⁴²
  4. 4Divide: 1.024 ÷ 3.2 = 0.32 and 10¹⁴² ÷ 10¹⁶ = 10¹²⁶
  5. 50.32 × 10¹²⁶ = 3.2 × 10¹²⁵

Answer3.2 × 10¹²⁵

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