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That depends - unfortunately, "whole number" is ambiguous, and can mean different things to different people. If by "whole number" you mean "natural number", then both are of course the same. If you choose to include negative numbers in your definition of "whole number", i.e., whole numbers = integers, then the two sets are not the same, and the proposed statement is false.

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Q: Is the statement true if a number is not a natural number then it is not a whole number true?

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It depends, many people do count 0 as a natural number, but MOST do not. So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.

The integer 1 is a whole number that is neither a prime or a composite number because it has only one factor which is itself.

An example of a true statement in algebra is x=x

Yes. You know this is true because you learned a process-- an "algorithm"--for adding two numbers together, and if you start with two whole numbers, the result is also a whole number.

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It is true.

It depends, many people do count 0 as a natural number, but MOST do not. So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.

No, the statement is not necessarily true.

The is false. "the whole number" is a single number while "the set of natural numbers" is a set. A single number cannot be equal to a set.

There is some disagreement. Some people include zero in the set of natural numbers (like whole numbers), some people don't (like counting numbers).

"If a number is an integer, then it is a whole number." In math terms, the converse of p-->q is q-->p. Note that although the statement in the problem is true, the converse that I just stated is not necessarily true.

this is the wrong answer

The integer 1 is a whole number that is neither a prime or a composite number because it has only one factor which is itself.

An example of a true statement in algebra is x=x

The only thing which is clear is that the product will be a rational number.It can be a whole number or a mixed number;It can be larger than, equal to or smaller than the mixed number;It can be larger than or smaller than the whole number.

That is true.

Yes. You know this is true because you learned a process-- an "algorithm"--for adding two numbers together, and if you start with two whole numbers, the result is also a whole number.

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