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

Responses

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

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

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

integers, rational numbers, natural numbers, whole numbers

The correct answer is:

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

rational
rational

irrational
irrational

negative
negative

improper

The correct answer is:

irrational

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

Responses

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

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

natural numbers, integers, and irrational numbers
natural numbers, integers, and irrational numbers

whole numbers, integers, and rational numbers

The correct answer is:

whole numbers, integers, and rational numbers

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 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 surface area of the cube
the surface area of the cube

the area of one of the cube’s faces

The correct answer is:

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

square root of 3
square root of 3

234
2 Start Fraction 3 over 4 End Fraction

47
Start Fraction 4 over 7 End Fraction

−3

The correct answer is:

234

Which of the following is an irrational number: 25−−√, π, or 027?