One way to do it might be like this:
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Integers are whole numbers, both positive and negative. Therefore, adding and subtracting integers would be adding and subtracting whole numbers. Examples: 8+2 -8+2 8-2 -8-2
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I would think that the commonality of adding and subtracting integers is that the answer itself will always be an integer. In other words, the answer is always gonna be a "whole number".
Let x and y be two integers. x - y = x + (-y)
They become positive integers for instance - - 2 = 2