No. The sum of a positive integer and a negative integer has the same sign as the larger integer.
Yes
Only when the integers are the same but otherwise no.
Yes, the square of an integer is always an integer.
the square of an integer will always be an integer
Yes, always.
Yes.
The square root of an integer is a CYCLOTOMIC integer.
Yes, because subtrating a negative number is the same thing as adding a positive number.
Yes, by definition, the sum of two integers is always an integer. Likewise, the product and difference of two integers is always an integer.
Yes it will.
Always. "Whole number" and "integer" are two different names for the same thing.