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:
Integers are contained within the rational numbers because every integer can be written as a fraction with denominator 1. This means each integer is a rational number, so the set of integers is a subset of the set of rational numbers. Not every rational number is an integer (for example, 3/4 is rational but not an integer), so the relationship is not the reverse. The other descriptions describe larger or different sets, but the precise relationship here is that integers are rational numbers.

Integers are contained within the rational numbers because every integer can be written as a fraction with denominator 1. This means each integer is a rational number, so the set of integers is a subset of the set of rational numbers. Not every rational number is an integer (for example, 3/4 is rational but not an integer), so the relationship is not the reverse. The other descriptions describe larger or different sets, but the precise relationship here is that integers are rational numbers.

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