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
9 answers
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
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
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
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
Responses
−3
negative 3
square root of 3
square root of 3
234
2 Start Fraction 3 over 4 End Fraction
47
234
9 answers