NumberStudy Notes

Worked Example 5: Division in Standard Form

Part of Standard Form — GCSE Mathematics

This study notes covers Worked Example 5: Division in Standard Form 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 11 of 14 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 11 of 14

Practice

14 questions

Recall

22 flashcards

Worked Example 5: Division in Standard Form

Calculate (8 × 10⁶) ÷ (2 × 10²)

Solution

Divide the numbers: 8 ÷ 2 = 4

Subtract the powers: 10⁶ ÷ 10² = 10⁴

Answer: 4 × 10⁴

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.

Worked Example 4: Multiplication in Standard Form Real-World Applications Numbers Beyond Imagination What is Standard Form?

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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Worked Example 4: Multiplication in Standard Form

Real-World Applications