Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.(1 point)
A. irrational numbers
B. integers
C. whole numbers
D. natural numbers
B. integers
C. whole numbers
D. natural numbers
Name the two subset(s) of real numbers to which the number zero belongs. Choose all that apply.
(1 point)
Responses
irrational numbers
irrational numbers
integers
integers
whole numbers
whole numbers
natural numbers
Name the subset(s) of real numbers to which the number zero belongs. Choose two.
(1 point)
Responses
irrational numbers
irrational numbers
integers
integers
whole numbers
whole numbers
natural numbers
The number zero belongs to the subsets:
B. integers
C. whole numbers
D. natural numbers
To determine which subset(s) of real numbers zero belongs to, we need to understand the definitions of each subset.
A. Irrational numbers: These are numbers that cannot be expressed as a simple fraction or a terminating or repeating decimal. For example, π (pi) and √2 (square root of 2) are irrational numbers.
B. Integers: These are the set of whole numbers (positive, negative, or zero) and their opposites. Integers include numbers like -3, -2, -1, 0, 1, 2, 3.
C. Whole numbers: These are the set of positive numbers, including zero, without any fractional or decimal parts. Whole numbers include numbers like 0, 1, 2, 3.
D. Natural numbers: These are the set of positive numbers greater than zero, without any fractional or decimal parts. Natural numbers include numbers like 1, 2, 3.
Now let's determine which subset(s) zero belongs to:
Zero is not an irrational number since it can be expressed as the fraction 0/1 (or any non-zero number divided by itself).
Zero is an integer since it is a whole number and one of its opposites that can be expressed as -0.
Zero is a whole number since it does not have any fractional or decimal parts.
Zero is not a natural number since it is not greater than zero. Natural numbers only include positive numbers.
Based on the definitions, zero belongs to the following subset(s) of real numbers:
B. Integers
C. Whole numbers
So, the correct choices are B. integers and C. whole numbers.