Question

What is the multiplicative inverse of c d ? Explain how a number is related to its multiplicative inverse.

Answer 1

`(d)/(c)`

Explanation:

If a be a real number,

Then the product of a and its multiplicative inverse is equal to the multiplicative identity, i.e. 1,

∵
`a* (1)/(a)=1`

Thus, the multiplicative inverse of a is
`(1)/(a)`

By comparing it,

We found that,

The multiplicative inverse of
`(c)/(d)` is
`(1)/(c/d)`

i.e.
`(d)/(c)`