It can help SOME people to understand it better - though others find it makes things more confusing. So it is NOT universally better.
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Addition and subtraction are reverse operations.
Addition is the inverse operation to subtraction.
Subtraction can be seen as the inverse operation to addition.
Subtraction is the addition of a negative number.
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.