What is absolute value reciprocal of 1 over 5?

1 Answer
Dec 7, 2017

5

Explanation:

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