Question #a306e

1 Answer
Nov 30, 2016

Answer:

The reciprocal or multiplicative inverse of #a/b# is #b/a#

Explanation:

You seem to have mixed two names together.

Every number has a reciprocal, which can also be called its multiplicative inverse.

'Inverse' implies 'opposite'

A number multiplied by its multiplicative inverse will give #0#
To find the multiplicative inverse, simply invert the number.

(#0# is the identity element for multiplication and division)

#cancel2/cancel3 xxcancel3/cancel2 = 1#

The multiplicative inverse of 6 is #1/6#

The multiplicative inverse of #-12/17# is #-17/12#

The multiplicative inverse of #pi# is #1/pi#

The reciprocal of #a/b# is #b/a#

The reciprocal of #13/4# is #4/13#