Question

multiplicative inverse of -2/9 ×(-3)​

Answer 1

Step-by-step explanation:

inverse of a chosen number is the number that you multiply the chosen number by to get 1. In other words:

3 * "the multiplicative inverse of 3" = 1

So what is the multiplicative inverse of 3 in our "normal" number system? In other words - what number do you multiply 3 by to get 1?

The answer is of course one third, or 1/3, since:

3 * 1/3 = 1.

Thus the multiplicative inverse of 3 is 1/3.

There is a special piece of notation reserved for multiplicative inverses, which consists of writing the number to the power -1. Thus we write that:

3-1 = 1/3.

Similarly it is easy to see that:

10-1 = 1/10

157-1 = 1/157

Hopefully you are happy so far!