Q55. - Algebra 2

Question

Name the property Illustrated by the equation

$(-\frac{3}{2})(-\frac{2}{3})=1$

Step-by-Step Solution

Answer

The Multiplicative inverse property is used in the expression.

Step-1 – Apply the concept of Multiplicative inverse property

The Multiplicative inverse of a number say, N is represented by .$\frac{1}{N}\text{ or }{N}^{-1}$

It is also called reciprocal. 

The meaning of inverse is something which is opposite. The reciprocal of a number obtained is such that when it is multiplied with the original number the value equals to identity 1.

Step-2 – Example for the Multiplicative inverse

The multiplicative inverse of 3 is .$\frac{1}{3}$

Step-3 – Evaluate the expression

Since, $(-\frac{3}{2})(-\frac{2}{3})=1$ the Multiplicative inverse of $-\frac{3}{2}$ is$-\frac{2}{3}$  which on multiplying the result is one.

 Thus, the Multiplicative inverse property is used in the expression.