This exam tips covers Common Mistakes to Avoid within Standard Form for GCSE Mathematics. Revise Standard Form in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 13 of 15 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.
Common Mistakes to Avoid
❌ Wrong: 45 × 10³
✅ Right: 4.5 × 10⁴
The first number must be between 1 and 10
❌ Wrong: 0.5 × 10⁴
✅ Right: 5 × 10³
0.5 is less than 1 - not valid standard form
❌ Wrong: 3.2 × 10⁻³ = 3200
✅ Right: 3.2 × 10⁻³ = 0.0032
Negative power means small number
❌ Wrong: Counting decimal places
✅ Right: Count how far decimal moves
Focus on decimal point movement, not places
Practice questions for Standard Form
Which of these numbers is written in standard form?
Explain why standard form is useful for writing very large or very small numbers.
Quick recall flashcards
What is Standard Form?
A number written as a × 10ⁿ
Where:
• 1 ≤ a < 10 (at least 1, less than 10)
• n is an integer (whole number)
Example: 3.5 × 10⁴
Converting TO Standard Form
1. Move decimal to make 1 ≤ a < 10
2. Count places moved
3. Large (left) → positive power
4. Small (right) → negative power
780,000 → 7.8 × 10⁵