Subtraction is the addition of a negative number.
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Because mathematically it's the inverse operation, the same way that subtraction is the "opposite" (inverse operation) of addition.
Addition and subtraction are reverse operations.
Addition is the inverse operation to subtraction.
Subtraction can be seen as the inverse operation to addition.
You don't. You can check addition with subtraction or subtraction with addition, since subtraction is the opposite of addition. Similary, you can check division with multiplication, or vice versa.