Question

multiplicative inverse of a number is its reciprocal true or false

Answer 1

In mathematics,a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a.

For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 I 1 divided by 0.25, or 4.

The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse. So this is true.

Answer 2

Yes, multiplicative inverse of a number is its reciprocal. Because if a number is multiplied with its reciprocal then the answer would surely be one when simplified. For example. . . . . .
$multiplicative \: inverse \: of \frac{4}{5} = \frac{5}{4}$