NumberExam Tips

Common Mistakes to Avoid

Part of Standard FormGCSE Mathematics

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 14 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 13 of 14

Practice

14 questions

Recall

22 flashcards

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

Keep building this topic

Read this section alongside the surrounding pages in Standard Form. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Standard Form

Which of these numbers is written in standard form?

  • A. 45 × 10³
  • B. 4.5 × 10⁴
  • C. 0.45 × 10⁵
  • D. 450 × 10²
1 markfoundation

Explain why standard form is useful for writing very large or very small numbers.

2 markshigher

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

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