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 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
14 answers
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
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.
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
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
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
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
Zero belongs to the sets of 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 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 volume of the cube
the volume of the cube
the area of one of the cube’s faces
the area of one of the cube’s faces
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 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 volume of the cube
the volume 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 will require the use of irrational numbers.
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
234
2 Start Fraction 3 over 4 End Fraction
square root of 3
square root of 3
−3
negative 3
47
Responses
234
2 Start Fraction 3 over 4 End Fraction
square root of 3
square root of 3
−3
negative 3
47
The number 234, 2 ¾, and 47 could be used to specify how many cups of flour should be used in a bread recipe. The square root of 3 and -3 are not practical measurements for specifying cups of flour.
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 area of one of the cube’s faces
the surface area of the cube
the surface area of the cube
the volume of the cube
the volume of the cube
the diagonal of one of the cube’s faces
, 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 area of one of the cube’s faces
the surface area of the cube
the surface area of the cube
the volume of the cube
the volume of the cube
the diagonal of one of the cube’s faces
1 answer