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Standard Form

Revise Standard Form in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

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Numbers Beyond Imagination

Introduction 2

What is Standard Form?

Key Facts 3

Standard Form Rules

Key Facts 4

Method: Converting TO Standard Form

Deep Dive 5

Method: Converting FROM Standard Form

Deep Dive 6

Visual Understanding

Diagram 7

Worked Example 1: Large Number to Standard Form

Notes 8

Worked Example 2: Small Number to Standard Form

Notes 9

Worked Example 3: From Standard Form

Notes 10

Worked Example 4: Multiplication in Standard Form

Notes 11

Worked Example 5: Division in Standard Form

Notes 12

Real-World Applications

Deep Dive 13

Common Mistakes to Avoid

Exam Tips 14

Exam Tips

Sample 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

Sample Questions

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

exam-style questions

revision flashcards

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