Practice Real Numbers And Their Decimal Expansions (1.3)

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8 questions

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6 sample questions

Question 1.
Identify whether 0.75 is rational or irrational.
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Look for a way to express it as a fraction.
Question 2.
Is the number 0.333... rational?
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Think about the repeating nature of 0.333...
3Question 3.
Is 2.5 a rational number?
- True
- False
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Recall the definition of rational numbers.
4Question 4.
What type of decimal representation does π have?
- Terminating
- Non-terminating Repeating
- Non-terminating Non-repeating
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Think about the nature of π's decimal expansion.
Question 5.
Determine if the decimal 0.101101110111... is rational or irrational. Justify your answer.
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Look for cycles in the decimal expansion.
Question 6.
Explain how you could find a rational number between two irrational numbers, say √2 and √3.
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Think of values between those two roots.

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