Exam-style question
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Define a rational number and explain why every integer belongs to the set ℚ.
Model answer
What a good answer should say
- A rational number is a number that can be written as a fraction, or ratio, of two integers.
- Every integer belongs to ℚ because any integer can be written with a denominator of 1; for example, 7 can be written as 7/1.
Explanation
Why this works
A complete answer must state that rational numbers are ratios of integers and must connect integer membership to the representation n/1, using an example such as 7/1.
Common mistake
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