A whole positive or negative number is an integer which has no decimals or fractions.
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A non-integer can be positive or negative. It is not a whole number, and that is all.
No, a whole number can be negative (or zero).
No, zero is not negative or positive.
The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.
An integer is any negative or positive whole number, or zero.