Which statement correctly describes the relationship between the set of integers and the set of rational numbers?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which statement correctly describes the relationship between the set of integers and the set of rational numbers?

Explanation:
The main idea is how integers relate to rational numbers. Any integer can be written as a fraction with denominator 1, like n = n/1, so every integer is a rational number. That means the set of integers sits inside the set of rational numbers. But not every rational is an integer—for example, 1/2 or -3/4 are rational but not integers. So the two sets are not the same; the integers form a subset of the rationals, with rationals strictly broader.

The main idea is how integers relate to rational numbers. Any integer can be written as a fraction with denominator 1, like n = n/1, so every integer is a rational number. That means the set of integers sits inside the set of rational numbers. But not every rational is an integer—for example, 1/2 or -3/4 are rational but not integers. So the two sets are not the same; the integers form a subset of the rationals, with rationals strictly broader.

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