Find the value of 4 muliplied by the reciprocal of 4?

2 Answers
Apr 14, 2018

Multiplying any number by its reciprocal gives us #1#. Hence #4# muliplied by the reciprocal of #4# too is #1#.

Apr 25, 2018

#1#

Explanation:

#1# is known as the identity element for multiplication and division.

It is obtained by multiplying any number by its multiplicative inverse - also known as the reciprocal.

#x xx 1/x = x/x = 1" "larr (x !=0)#

#4/1 xx 1/4 = 4/4 =1#

And so it is for any value except #0#

#sqrt2 xx 1/sqrt2 = sqrt2/sqrt2 =1#

#3/7 xx 7/3 = 21/21 =1#