AC9M4N05 • Test

Multiplying and Dividing by Multiples and Powers of 10

Read the quick preparation notes, then start when you are ready.

SkillrHub quiz practice is built for curriculum-aligned revision with answer feedback and a clear review path.

Quick preparation

  • Multiplying by 10, 100 or 1 000 makes each digit worth 10, 100 or 1 000 times as much. Dividing reverses this relationship when the quotient is a natural number.
  • Use this routine: Identify factor or divisor → Track place-value shift → Calculate → Interpret units → Check inverse.
  • Watch for add zeros rule used blindly: Place-value reasoning explains when and why placeholder zeros appear.

SkillrHub Test guide

Use this short shuffled test set to check the skill, read feedback and review missed items. Repeat quiz practice to access more of the full question bank over time.

Model: The 4 starts in the hundreds place, with value 400. Multiplying by 10 makes its value 4000, so it belongs in the thousands place.
  • Worked example: 24 × 30 is 24 × 3 tens = 72 tens = 720. To find 720 ÷ 30, think: how many groups of 3 tens make 72 tens? There are 24 groups.
  • Common mistake: Multiplying by 30 includes multiplying by 3 and by 10. Appending a zero alone would give the answer to multiplying by 10.
  • Assessment guidance: Use this short shuffled set for one attempt. Repeat quiz practice to get access to more of the full question bank over time.
  • Review: Use place-value units and known multiplication facts, without a calculator. Check a division answer by multiplying.
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