Working with real numbers
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Log in to continueDistinguish rational and irrational values and calculate with exact values or sensible approximations.
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Which of √2, 2/3, √4 and -4 is irrational?
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Answer: √2
- A rational number can be written as a fraction of integers.
- A square root of a positive non-square integer is irrational.
- 2 is not a perfect square, so √2 is irrational.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Distinguish rational and irrational values and calculate with exact values or sensible approximations.
Read the official VCAA curriculum description (VC2M9N01)
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.
- VC2M9N01-C01Recognise fractions, integers and non-square roots.
- VC2M9N01-C02Calculate with real numbers and round the result.
- VC2M9N01-C03Use and compare digital and non-digital solution methods.
- VC2M9N01-C04Apply and explain working with real numbers using calculate and explain each step.
- VC2M9N01-C05Apply and explain working with real numbers using read and connect representations.
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Descriptor-derived subskills
- D01Rational or irrational?Recognise fractions, integers and non-square roots.
- D02Keep precision until the endCalculate with real numbers and round the result.
- D03Calculate and explain each stepApply and explain working with real numbers using calculate and explain each step.
- D04Read and connect representationsApply and explain working with real numbers using read and connect representations.