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 rational numbers
natural 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
Zero belongs to the sets of real numbers:
1. whole numbers
2. integers
3. 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 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 measurement that will require the use of irrational numbers 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
47
Start Fraction 4 over 7 End Fraction
square root of 3
square root of 3
−3
negative 3
234
The number that could be used to specify how many cups of flour should be used in a bread recipe is:
- 47
Zero belongs to the sets of real numbers: whole numbers, integers, and rational numbers.
To determine which sets of real numbers zero belongs to, we need to understand the definitions of these sets:
1. Whole numbers: The set of numbers that includes non-negative integers (0, 1, 2, 3, ...).
2. Integers: The set of numbers that includes positive and negative whole numbers, as well as zero (... -3, -2, -1, 0, 1, 2, 3, ...).
3. Natural numbers: The set of positive integers (1, 2, 3, ...).
4. Rational numbers: Any number that can be expressed as a fraction of two integers, where the denominator is not zero (e.g., 1/2, -3/4, 0).
5. Irrational numbers: Numbers that cannot be expressed as a fraction and have an infinite non-repeating decimal expansion (e.g., √2, π).
Zero belongs to the following sets:
1. Whole numbers: Zero is a member of this set since it is a non-negative integer.
2. Integers: Zero is a member of this set since it is neither positive nor negative but falls between negative and positive integers.
3. Rational numbers: Zero is a rational number because it can be expressed as the fraction 0/1, where the denominator is not zero.
Zero does not belong to the following set:
1. Natural numbers: Zero is not a natural number because it is not a positive integer.
4. Irrational numbers: Zero is not an irrational number because it can be expressed as a fraction (rational number) rather than having an infinite non-repeating decimal expansion.
So, the correct answer is:
Zero belongs to the sets of whole numbers, integers, and rational numbers.