It is important to add and subtract integers:
to get a new integer value in mathematics .
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Because otherwise you would only know how to subtract and add with the same integers. Not a particularly useful skill unless just those integers turned up!
to subtract an integer, add its opposite or additive inverse.
add, subtract, multiply, divide
When you add, subtract, or multiply integers, you get integers. When you divide one integer by another one, you may or may not get an integer.
+2 + -1= 1