Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)

Responses

integers, rational numbers, natural numbers, whole numbers
integers, rational numbers, natural numbers, whole numbers

rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers

natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers

irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi

integers, rational numbers, natural numbers, whole numbers

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

Responses

negative
negative

irrational
irrational

improper
improper

rational
rational

irrational

To which sets of real numbers does zero belong?(1 point)

Responses

whole numbers, integers, and irrational numbers
whole numbers, integers, and irrational numbers

natural numbers, integers, and rational numbers
natural numbers, integers, and rational numbers

whole numbers, integers, and rational numbers
whole numbers, integers, and rational numbers

natural numbers, integers, and irrational numbers

whole numbers, integers, and rational numbers

The Real Number System Quick Check

4 of 54 of 5 Items
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 diagonal of one of the cube’s faces
the diagonal of one of the cube’s faces

the volume of the cube

the diagonal of one of the cube’s faces

Which of the following numbers could be used to specify how many cups of flour should be used in a bread recipe?(1 point)

Responses

−3
negative 3

square root of 3
square root of 3

234
2 Start Fraction 3 over 4 End Fraction

47

234

The correct answer is:

integers, rational numbers, natural numbers, whole numbers