What is absolute value reciprocal of 1 over 5?

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Answer 1 · 2017-12-07T22:54:19

5

A reciprocal number is a number by which a given number must be multiplied to get a result of one.

What this means is that a number multiplied by its reciprocal will always equal 1.

Usually what we do is simply flip the fraction over. So...

Flip #1/5# over and we get #5/1# or #5#. This makes sense because:

#1/5 * 5/1 = 1#

The absolute value of #abs(5)# is simply #5#.
absolute value is asking us to make the number non-negative.

ALSO
We can solve for it.
#1/5# times what equals 1?
We can right this as
#1/5 * x = 1#

#1/5x = 1#

#color(red)5*1/5x= color(red)5 * 1#
#x=5#