When early rounding changes a result
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A calculation adds 1/3 a total of 30 times. If each term is first rounded to 0.33, what total is obtained? Give your answer to 2 decimal places.
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Answer: 9.90
- The rounded term is 33/100.
- Multiply it by 30: 9.90.
- Using the exact fraction would give 10; early rounding can change the total.
- 33/100 × 30 = 99/10.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Compare exact representations with repeated calculations using rounded values.
Read the official VCAA curriculum description (VC2M10N01)
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.
- VC2M10N01-C01Track an approximation that is used many times.
- VC2M10N01-C02Compare an exact identity with an approximate computation.
- VC2M10N01-C03Use digital tools to compare repeated approximate and exact calculations.
- VC2M10N01-C04Apply and explain when early rounding changes a result using calculate and explain each step.
- VC2M10N01-C05Apply and explain when early rounding changes a result using compare evidence and check a claim.
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Subskills
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Descriptor-derived subskills
- D01Repeated approximationsTrack an approximation that is used many times.
- D02An approximation inside another calculationCompare an exact identity with an approximate computation.
- D03Calculate and explain each stepApply and explain when early rounding changes a result using calculate and explain each step.
- D04Compare evidence and check a claimApply and explain when early rounding changes a result using compare evidence and check a claim.