Because that is how the opposite of a number is defined.
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-You must memorize -To add 2 integers with different signs, find the difference of their absolute value -To subtract an integer, add it's opposite
when you add two positive integers the answer is always positive when you add two negative integers the answer is positive when you add one negative and on positive integer, the answer is negative subtracting two negative numbers gets a negative answer subtracting two positive numbers- the answer depends subtracting a negative and positive number- the answer depends, the positive number would have to be bigger than the negative to achieve a negative number, and if the positive number is less, than the answer is still negative
Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.
To add two integers with opposite signs . . . -- Ignore the signs, and write the difference between the two numbers. -- Give it the same sign as the larger original number has.
Adding two numbers with different signs means subtracting the two absolute integers (without sign) and vice versa.