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

Question

A:integers, rational numbers,
natural numbers, whole numbers

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

C:natural numbers, whole
numbers, integers, rational
numbers

D: rational numbers, integers,
whole numbers, natural
numbers

Answer 1

D: rational numbers, integers, whole numbers, natural numbers

Answer 2

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

rational
rational

irrational
irrational

negative
negative

improper

Answer 3

The set of numbers that are real numbers but cannot be expressed as one integer divided by another are irrational numbers. These numbers cannot be expressed as a fraction or ratio of two integers. Examples of irrational numbers include pi (∏), square roots of non-perfect squares (such as √2 or √5), and infinite non-repeating decimals (such as 0.101001000100001...).

Answer 4

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

A:rational

B:irrational

C:negative

D:improper

Answer 5

B: irrational

Answer 6

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

A:natural numbers, integers, and rational numbers
B:whole numbers, integers, and irrational numbers
C:natural numbers, integers, and irrational numbers
D:whole numbers, integers, and rational numbers

Answer 7

A: natural numbers, integers, and rational numbers

Answer 8

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

A:the diagonal of one of the cube’s faces

B:the volume of the cube

C:the area of one of the cube’s faces

D:the surface area of the cube

Answer 9

A: the diagonal of one of the cube's faces.