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Is -4 a natural number an integer or both?
It is only an integer, as natural numbers are all integers from 0 (e.g. 0, 1, 2, 3, 4…). According to another definition of the set of natural numbers, integers from 1 are considered natural. In other words, according to the first definition, the set of natural numbers is all non-negative integers. According to the second definition, the set of natural numbers is all positive integers.
-7 is a prime number?
No it is not. By definition, a prime number must be a natural number. Negative numbers are not in the set of natural numbers.
Why 0 not be considered as natural number?
Depending on the definition of the words "natural numbers", the natural numbers are either, "the set of positive integers", that is, integers from 1 upwards, or "the set of non-negative integers", that is, integers from 0 upwards.Therefore, 0 can be included as one of the natural numbers, depending on your definition.
What is the only whole number that is not a natural or counting number?
Zero, by the traditional definition of natural numbers.
Why The set of whole numbers include zero but the natural numbers do not?
The Dedekind-Peano axioms form the basis for the axiomatic system of numbers. According to the first axiom, zero is a natural number. That suggests that the question refers to some alternative, non-standard definition of natural numbers.
