Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses
rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers
irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi
integers, rational numbers, natural numbers, whole numbers
integers, rational numbers, natural numbers, whole numbers
natural numbers, whole numbers, integers, rational numbers
The correct answer is:
integers, rational numbers, natural numbers, whole numbers
2 of 52 of 5 Items
Question
Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)
Responses
irrational
irrational
rational
rational
negative
negative
improper
The correct answer is: irrational
To which sets of real numbers does zero belong?(1 point)
Responses
whole numbers, integers, and rational numbers
whole numbers, integers, and rational numbers
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
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 diagonal of one of the cube’s faces
the diagonal of one of the cube’s faces
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 surface area of the cube
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
−3
negative 3
47
Start Fraction 4 over 7 End Fraction
234
2 Start Fraction 3 over 4 End Fraction
square root of 3
The correct answer is: 47.
The correct answer is:
integers, rational numbers, natural numbers, whole numbers
To understand the hierarchy of number sets within the real number system, let's break down each set and their relationship to one another:
1. Natural numbers: These are numbers that are positive and whole, starting from 1. Natural numbers include the counting numbers 1, 2, 3, and so on.
2. Whole numbers: Whole numbers include zero (0) in addition to all the natural numbers. So, whole numbers are 0, 1, 2, 3, and so on.
3. Integers: Integers include all the whole numbers, both positive and negative, along with zero (0). So, integers are ..., -3, -2, -1, 0, 1, 2, 3, ...
4. Rational numbers: Rational numbers include all the integers and fractions. A rational number can be expressed as a fraction (p/q), where p and q are integers and q is not equal to zero. For example, 1/2, -3/4, 2, 4/1, etc., are all rational numbers.
The correct hierarchy of number sets within the real number system, from largest to smallest, is integers, rational numbers, natural numbers, whole numbers.