An arbitrary integer is basically the same as any integer. If a math problem says: "Let n be an arbitrary integer", it means that n can be any integer. A random integer in other words.
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the square of an integer will always be an integer
When they are added together and the absolute value of the positive integer is bigger than the absolute value of the negative integer or when the negative integer is subtracted from the positive integer.
The integer is 26
36.84 is not an integer so there is no integer "of 36.84".
Yes, and also a negative integer divided by a negative integer is equal to a positive number (but not necessarily an integer).