Standard form GCSE questions
Convert to a × 10ⁿ with 1 ≤ a < 10, then multiply and divide using index laws.
Tidy a
If a becomes 20, that is 2.0 × 10¹ extra — add 1 to the index.
Practice questions
Cover the answers and have a go first. Worked solutions are underneath.
Question 1 [1 mark]
3200 in standard form
Question 2 [1 mark]
0.045 in standard form
Question 3 [2 marks]
(2 × 10³)(4 × 10⁴)
Question 4 [2 marks]
(9 × 10⁸) ÷ (3 × 10²)
Common mistakes
- Leaving 32 × 10² instead of 3.2 × 10³.
Answers and working
Q1. 3.2 × 10³
Q2. 4.5 × 10⁻²
Q3. 8 × 10⁷
Q4. 3 × 10⁶
Frequently asked questions
Lesson?
Standard form revision shows conversions both ways.
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