Subtracting / Subtraction of Integers. When my mind was being ' blown ' over the subtraction of integers, this is the method that I came up with in my head that made sense for me. It is still the way that I deal with these types of problems mentally. I am basically thinking: do I see all positives, all negatives, or both? Depending on what I see, I either turn them into addition or subtraction statements (with some appropriate modifications).