Visual Understanding

Part of Standard Form · Section 6 of 15

DiagramUnit: NumberGCSE

Large Numbers

67,000,000
↓ Move decimal 7 left
6.7 × 10⁷

Check: 10⁷ = 10,000,000
6.7 × 10,000,000 = 67,000,000 ✓

Small Numbers

0.00034
↓ Move decimal 4 right
3.4 × 10⁻⁴

Check: 10⁻⁴ = 0.0001
3.4 × 0.0001 = 0.00034 ✓

Powers of 10

10³ = 1,000
10² = 100
10¹ = 10
10⁰ = 1
10⁻¹ = 0.1
10⁻² = 0.01
10⁻³ = 0.001

This diagram covers Visual Understanding 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 6 of 15 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

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

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

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

Method: Converting FROM Standard Form

Worked Example 1: Large Number to Standard Form

14 questions on Standard Form: practise free

Instant marking, adaptive difficulty and spaced-repetition flashcards — all aligned to your exam board.

Start revising free →