The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + x
Addition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.
The same three rules apply to addition of rational numbers.
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David Missoula's
to subtrct integers ,rewrite as adding opposites and use the rules for addtion of integers..
Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.
Rules: Unlike SignsSubtract the absolute value of the number and copy the sign of the number with greater absolute value.
If you mean integers, well if you have two integers of the same sign that you are adding, add and the sign stays the same. If you have different signs, subtract and keep the sign of the one that has more. Regular numbers you just add them.