Reciprocal Math

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Math has many mathematical operations used to solve different kind of numerical, algebraically and exponential questions. Some of the most commonly used operations are addition, subtraction, multiplication and division. The reciprocal operation in math is the expression or term which when multiplied to the other term has a product of unity or one. Therefore the reciprocal operation for multiplication is division and the reciprocal operation for division is multiplication. This concept is very useful to solve many mathematical questions.
 
Example 1: Find the reciprocal for the number 2?

Solution:  Reciprocal is the value when multiplied to 2 gives 1.

Let the reciprocal number be x. This gives 2 * x = 1.

Divide both sides of the equation by 2, to get x all by itself.

(2 * x) /2 = 1 /2; x = 1/2.

 Hence reciprocal of 2 is 1/2
 
Example 2: Find the reciprocal for the following numbers

a)    1/10.  b) 2/5.

Solution: The reciprocal of the given numbers are:

a)     Reciprocal is the value when multiplied to 1/10 gives 1.

Let the reciprocal number be x. This gives (1/10) * x = 1.

Multiply both sides of the equation by 10, to get x all by itself.

 (1/10 * x) *10 = 10; x = 10.

Hence reciprocal of 1/10 is 10.

b)    Reciprocal is the value when multiplied to 2/5 gives 1.

Let the reciprocal number be x. This gives (2/5) * x = 1.

Multiply both sides of the equation by 5/2, to get x all by itself.

(2/5 * x) (5/2) = 5/2; x = 5/2.

 Hence reciprocal of 2/5 is 5/2.
 

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