Question

What two absolute values have an answer of 5?|1/5||-5||25||5|

Answer 1

The absolute value of a number is equal to its distance from 0 in the number line. Since it's a distance it must be a positive number. The absolute value of a positive number is the number itself then:

`\begin{gathered} \lvert5\rvert=5 \\ \lvert25\rvert=25 \\ \lvert(1)/(5)\rvert=(1)/(5) \end{gathered}`

The absolute value of a negative number is itself multiplied by -1:

`\lvert-5\rvert=(-1)\cdot(-5)=5`

So the two absolute values that have an answer of 5 are:

`\lvert5\rvert\text{ and }\lvert-5\rvert`