One and two are integers but they are not the same!
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
No, an integer and its absolute value are not always opposites. The absolute value of an integer is always non-negative, while the integer itself can be negative, zero, or positive. For example, the integer -5 has an absolute value of 5, which are opposites, but the integer 0 has an absolute value of 0, making them the same. Thus, they are only opposites when the integer is negative.
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.