Praxis Middle School Mathematics (5164) Practice Exam

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

The rational numbers are a subset of the integers.

They are disjoint.

They are the same set.

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 integers are a subset of the rational numbers.

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