Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)

Responses

improper
improper

irrational
irrational

negative
negative

rational

rational

The Real Number System Quick Check

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Question
Use the image to answer the question.

The length, width, and height of a cube are all labeled a.

A cube has an edge length, a, that is a rational number of centimeters. Identify which measurement will require the use of irrational numbers.

(1 point)
Responses

the surface area of the cube
the surface area of the cube

the area of one of the cube’s faces
the area of one of the cube’s faces

the volume of the cube
the volume of the cube

the diagonal of one of the cube’s faces

the diagonal of one of the cube's faces

The set of numbers that are real numbers but cannot be expressed as one integer divided by another is called irrational numbers. These numbers cannot be written in the form of a fraction, where the numerator and denominator are both integers.