Well I believe you may be referring to the fact that whenever you subtract you actually "add the opposite." Another phrase people may use is to "plus a negative." This is not as accurate as add the opposite. An example would 12-5. It can be written as 12 + -5. You are simply adding the opposite of positive 5 which is negative 5. Now this may seem silly, but where it is useful is when you have a lot of negatives. For example. -10- -5. For some this is confusing until we add the opposite. I can rewrite this as -10 + 5. I simply took the opposite of -5 which was positive 5 and added it to -10. This equals -5. Hope this helps.
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We use Q for Rationals... which is repreentative of Quocentia (Quotient), since rationals are RATIOs or fractions.
you can add your integers as addition and round them to simplest form.
No - because it can be represented as a ratio of integers : 81 = 81/1 Any number that can be represented as a ratio of 2 integers is classified as a rational number (other than that you can't use 0 for the denominator)
You can use the same symbols that you use to compare integers or decimals: equal, greater than, greater-than-or-equal, etc.