Algebra: Inverse operations for addition and multiplication, reciprocals

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Every day, you "perform an operation" of going from home to school. Its inverse is going from school to home.
The same logic applies to inverse operation. If you start with 5, add 3 to get 8, then the inverse would be to subtract 3 from 8 go back to where you started, that is to 5.
A reciprocal to any number (except zero) is 1 divided by that number: reciprocal( x ) = 1/x. Reciprocal of 2 is 1/2. Any number multiplied by its reciprocal is 1.

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