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 area of one of the cube’s faces
the surface area of the cube
the diagonal of one of the cube’s faces
the volume of the cube
The diagonal of one of the cube's faces will require the use of irrational numbers.
The diagonal of one of the cube's faces will require the use of irrational numbers.
The Real Number System Quick Check
1 of 51 of 5 Items
Question
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
The correct option is:
integers, rational numbers, whole numbers, natural 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
negative
negative
improper
improper
irrational
irrational
The set of numbers that are real numbers but cannot be expressed as one integer divided by another is called irrational numbers. Irrational numbers cannot be written as a fraction or ratio of integers and they are non-repeating and non-terminating decimals. Examples of irrational numbers include the square root of 2, pi, and e.
Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)
rational
negative
improper
irrational
The set of numbers that are real numbers but cannot be expressed as one integer divided by another are called irrational numbers. Irrational numbers cannot be written as a fraction or ratio of integers. They are non-repeating and non-terminating decimals. Examples of irrational numbers include the square root of 2 (√2), pi (π), and e.
To which sets of real numbers does zero belong?(1 point)
Responses
natural numbers, integers, and irrational numbers
natural numbers, integers, and irrational numbers
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