Which term denotes a number that can be written as a fraction of two integers?

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Multiple Choice

Which term denotes a number that can be written as a fraction of two integers?

Explanation:
A number that can be written as a fraction of two integers is called a rational number. This means it can be expressed as a/b where a and b are integers and b is not zero. That includes integers themselves, since any integer n equals n/1, as well as decimals that terminate or repeat (like 0.75 or -2.25) because they correspond to a fraction. In contrast, irrational numbers such as sqrt(2) or pi cannot be written as a ratio of two integers. Real numbers include both rational and irrational, so they’re a broader category, while natural numbers are just the positive integers, which are a subset of rational numbers but not the full set. So the term that denotes a number expressible as a fraction of two integers is rational numbers.

A number that can be written as a fraction of two integers is called a rational number. This means it can be expressed as a/b where a and b are integers and b is not zero. That includes integers themselves, since any integer n equals n/1, as well as decimals that terminate or repeat (like 0.75 or -2.25) because they correspond to a fraction. In contrast, irrational numbers such as sqrt(2) or pi cannot be written as a ratio of two integers. Real numbers include both rational and irrational, so they’re a broader category, while natural numbers are just the positive integers, which are a subset of rational numbers but not the full set. So the term that denotes a number expressible as a fraction of two integers is rational numbers.

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