NumberStudy Notes

Worked Example 3: From Standard Form

Part of Standard Form — GCSE Mathematics

This study notes covers Worked Example 3: From 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 9 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 9 of 14

Practice

14 questions

Recall

22 flashcards

Worked Example 3: From Standard Form

Write 4.56 × 10⁴ as an ordinary number

Solution

10⁴ means move decimal 4 places right

4.56 → 45.6 → 456 → 4560 → 45600

Answer: 45,600

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 2: Small Number to Standard Form Worked Example 4: Multiplication in Standard Form 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 2: Small Number to Standard Form

Worked Example 4: Multiplication in Standard Form