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Rational Number

Consider the following


In the above examples the product of the two numbers is 1. The reciprocal (or multiplicative inverse) of 12 is . is the reciprocal of and is the reciprocal of  .

If the product of two numbers is 1 then we say that the two numbers are multiplicative inverses of each other.


Reciprocals :-
(i) Reciprocal of is -13,      since × -13     = 1   

(ii) Reciprocal of is , since     ×    = 1
The reciprocal of a rational number is , whose product is always 1.

The reciprocal is represented by .

Representation of Reciprocal Numbers :-

is the reciprocal of  ; thus

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