Practice Summary (1.6) - Number Systems

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8 questions

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6 sample questions

Question 1.
Identify whether 5/2 is a rational or irrational number.
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Can it be expressed as a fraction of two integers?
Question 2.
Is the square root of 16 a rational number?
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What is the square root of this number?
3Question 3.
A rational number has a decimal expansion that is:
- Terminating only
- Non-terminating recurring
- Both A and B
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Think of how you can express it in fraction form.
4Question 4.
True or False: The sum of a rational and an irrational number is always a rational number.
- True
- False
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Recall the properties of rational and irrational numbers.
Question 5.
Can you find two irrational numbers that when multiplied give a rational number? Provide an example and explain why it works.
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What happens when you multiply two identical irrational roots?
Question 6.
Given the expression $\frac{5}{\sqrt{2} + 1}$ , rationalize the denominator and simplify your answer.
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What form can you use to eliminate the radical?

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