Worked Example 2: Small Number to Standard Form

Part of Standard Form Ā· Section 8 of 15

Study NotesUnit: NumberGCSE

Write 0.000072 in standard form

Solution

0.000072 = 7.2 Ɨ ?

Decimal moved 5 places right

Right movement → negative power

Answer: 7.2 Ɨ 10⁻⁵

This study notes covers Worked Example 2: Small Number to 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 8 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Practice questions for Standard Form

Which of these numbers is written in standard form?

  • A. 45 Ɨ 10³
  • B. 4.5 Ɨ 10⁓
  • C. 0.45 Ɨ 10⁵
  • D. 450 Ɨ 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 Ɨ 10⁵
What is Standard Form?
A number written as a Ɨ 10ⁿ Where: • 1 ≤ a < 10 (at least 1, less than 10) • n is an integer (whole number) Example: 3.5 Ɨ 10⁓

14 questions on Standard Form: practise free

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