Lemmara logoLemmaraWorked solution

4MA1/1HR Jan 2023, Question 7: Standard Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Three-part standard form question: convert a small number to ordinary form, subtract two numbers in standard form, and multiply two numbers in standard form, giving answers in standard form.

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

Part (a) · 1 mark

Convert 9.32 × 10⁻⁵ into an ordinary decimal number.

  1. 19.32 × 10⁻⁵ = 0.0000932

Answer0.0000932

Part (b) · 2 marks

Calculate 3 × 10⁵ − 6 × 10⁴ and express the result in standard form.

  1. 13 × 10⁵ = 300000
  2. 26 × 10⁴ = 60000
  3. 3300000 − 60000 = 240000
  4. 4240000 = 2.4 × 10⁵

Answer2.4 × 10⁵

Part (c) · 2 marks

Calculate (3 × 10⁵⁵) × (6 × 10⁶⁵) and express the result in standard form.

  1. 1(3 × 10⁵⁵) × (6 × 10⁶⁵) = 3 × 6 × 10^(55+65)
  2. 218 × 10¹²⁰
  3. 31.8 × 10¹²¹

Answer1.8 × 10¹²¹

Stuck on a step? Read the free lesson: Standard Form

Practise more standard form questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on standard form

Also searched as: 4MA1 1HR January 2023 · 4MA1/1HR · 4ma1 jan23 1hr · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.