Worked Example 4: Multiplication in Standard Form

Part of Standard Form · Section 10 of 15

Study NotesUnit: NumberGCSE

This study notes covers Worked Example 4: Multiplication 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 10 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Worked Example 4: Multiplication in Standard Form

Calculate (3 × 10⁴) × (2 × 10³)

Solution

Multiply the numbers: 3 × 2 = 6

Add the powers: 10⁴ × 10³ = 10⁷

Answer: 6 × 10⁷

Already in standard form (6 is between 1 and 10)

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

Worked Example 3: From Standard Form

Worked Example 5: Division in Standard Form

14 questions on Standard Form — practise free

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