What is the reciprocal property of multiplication?

Answer 1

When two factors are are multiplied together and evaluate to the Multiplicative-Identity unity ( 1 ), each factor is a reciprocal of the other. Each is the inverse of the other. The reciprocal (inverse) function = 1/x.

Examples:

3 * ( 1/3 ) = 1

( 1/0.125 ) * ( 1/8 ) = 1

10 * 0.1 = 1

2y * ( 1/2y ) = 1

4 * 4-1 = 1

-5 * ( -1/5 ) = 1

-1 * ( -1 ) = 1, note -1 is its own inverse

Multiplication and division are reciprocal operations, times ( * ) and divide ( / ) are reciprocal operators. Addition and subtraction are reciprocal operations, add ( + ) and subtract ( - ) are reciprocal operators.

Example: If one observes the equality 5 * 6 = 30, and then compares it with the equality 30/5 = 6, one can realize that each number equation is using identical numbers, but just in different orders corresponding to the operations .