A number that can be expressed as a fraction of two integers is what type of number?

Study for the Western Governors University (WGU) MATH1709 C277 Finite Mathematics Exam. Explore with flashcards and multiple-choice questions. Build a strong foundation and ace your exam with confidence!

Multiple Choice

A number that can be expressed as a fraction of two integers is what type of number?

Explanation:
A number that can be expressed as a fraction of two integers is classified as a rational number. This definition encompasses any number that can be represented in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers include whole numbers, integers, and fractions. In contrast, whole numbers are non-negative numbers that include zero and all positive integers, while natural numbers are the set of positive integers starting from one. Integers include all whole numbers, both positive and negative, but they do not necessarily allow for fractions or decimal expansions. Therefore, the broader category that includes all of these types is rational numbers, making it the most accurate representation of numbers expressible as fractions of integers.

A number that can be expressed as a fraction of two integers is classified as a rational number. This definition encompasses any number that can be represented in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers include whole numbers, integers, and fractions.

In contrast, whole numbers are non-negative numbers that include zero and all positive integers, while natural numbers are the set of positive integers starting from one. Integers include all whole numbers, both positive and negative, but they do not necessarily allow for fractions or decimal expansions. Therefore, the broader category that includes all of these types is rational numbers, making it the most accurate representation of numbers expressible as fractions of integers.

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