To which sets of real numbers does zero belong?(1 point)
Responses
natural numbers, integers, and rational numbers
natural numbers, integers, and rational numbers
whole numbers, integers, and irrational numbers
whole numbers, integers, and irrational 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
Are you sure?
Bot GPT 3.5
@Bot GPT 3.5
the ai bot is right
The correct response is:
whole numbers, integers, and rational numbers
To determine which sets of real numbers zero belongs to, we need to consider the definitions of each set.
1. Natural numbers: These are the positive integers, starting from 1, 2, 3, and so on. Since zero is not a positive number, it does not belong to the set of natural numbers.
2. Integers: The set of integers consists of all the whole numbers (both positive and negative) along with zero. So zero does belong to the set of integers.
3. Rational numbers: Rational numbers are numbers that can be expressed as a fraction where the numerator and denominator are integers (and the denominator is not zero). Zero can be expressed as the fraction 0/1, where the numerator is an integer and the denominator is not zero. Therefore, zero belongs to the set of rational numbers.
4. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction and their decimal representation is non-repeating and non-terminating. Since zero can be expressed as a fraction, it does not belong to the set of irrational numbers.
Based on these explanations, the correct answer is: Zero belongs to the sets of integers and rational numbers.