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Powers of ten – practice for Years 8–9

Sample questions on Powers of ten with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 8–9
Curriculum area
Number and algebra

Question types: Numbers in standard form

Rule: Powers of ten

10ⁿ is 1 followed by n zeros. For a × 10ⁿ move the decimal point n places right; for 10⁻ⁿ, left.

In standard form a × 10ⁿ, 1 ≤ a < 10.

Example: 3.7 × 10⁵ = 370 000; 4.2 × 10⁻³ = 0.0042

Watch out: 10⁻³ is not a negative number: 10⁻³ = 0.001.

Sample questions

  1. Question 1 Easy

    Which number n makes 800 = 8 × 10ⁿ true?

    Show the solution
    Answer: 2

    How it works: 800 = 8 × 10², n = 2

  2. Question 2 Normal

    Which of these is equal to 830?

    1. A) 8.3 × 10¹
    2. B) 8.3 × 10⁴
    3. C) 8.3 × 10³
    4. D) 8.3 × 10²
    5. E) 8.3 × 10⁰
    Show the solution
    Answer: D) 8.3 × 10²

    How it works: 830 = 8.3 × 10²

  3. Question 3 Hard

    Which number n makes 0.00024 = 2.4 × 10ⁿ true?

    Show the solution
    Answer: −4

    How it works: 0.00024 = 2.4 × 10⁻⁴, n = −4

Related topics

All Maths topics

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