VC2M6N06 Official strand: Number

Scale decimals using number facts

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Multiply and divide by multiples of powers of ten without a calculator.

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Calculate 1.42 × 30. Work without a calculator.

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Answer: 42.6

  1. Split the multiple of ten into its number fact and place-value scale.
  2. 1.42 × 30 = 42.6.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Multiply and divide by multiples of powers of ten without a calculator.

Read the official VCAA curriculum description (VC2M6N06)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M6N06-C01Multiplying by 300 combines multiplication by 3 with multiplication by 100. Use place value to track the scale rather than moving a decimal point without a reason.
  2. VC2M6N06-C02Dividing by a multiple such as 200 can be done by dividing by 2 and then 100. Check with the inverse multiplication.
  3. VC2M6N06-C03Track exact decimal multiplication and division through a linked calculation, using an estimate to check its magnitude.
  4. VC2M6N06-C04Demonstrating a non-calculator method and explaining a reasonableness check; an MCQ cannot prove which tools were used.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Combine a fact with a power of tenMultiplying by 300 combines multiplication by 3 with multiplication by 100. Use place value to track the scale rather than moving a decimal point without a reason.
  2. D02
    Undo a scaled productDividing by a multiple such as 200 can be done by dividing by 2 and then 100. Check with the inverse multiplication.
  3. D03
    Calculate linked scales and check the sizeTrack exact decimal multiplication and division through a linked calculation, using an estimate to check its magnitude.
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