Practice Irrational Numbers (1.2) - Number Systems

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8 questions

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6 sample questions

Question 1.
Is the number $\sqrt{2}$ rational or irrational?
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Consider whether it can be expressed as a fraction.
Question 2.
Write down an example of a rational number.
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Think of p/q forms.
3Question 3.
What is an example of an irrational number?
- 2
- 3.5
- \$ \\sqrt{5} \$
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Think of numbers that involve square roots.
4Question 4.
Are all non-terminating decimals irrational?
- True
- False
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Revisit the definitions of rational numbers.
Question 5.
Explain how the discovery of irrational numbers has changed the way we view mathematics.
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Think about how irrational numbers showed the existence of 'gaps' in the rational number world.
Question 6.
Consider the implications of irrational numbers in the context of geometry. Provide examples.
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Sketch a square and its diagonal to visualize this.

4 more questions in this section. Enroll free to practise them all.