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:
[tex]\begin{gathered} \lvert5\rvert=5 \\ \lvert25\rvert=25 \\ \lvert\frac{1}{5}\rvert=\frac{1}{5} \end{gathered}[/tex]The absolute value of a negative number is itself multiplied by -1:
[tex]\lvert-5\rvert=(-1)\cdot(-5)=5[/tex]So the two absolute values that have an answer of 5 are:
[tex]\lvert5\rvert\text{ and }\lvert-5\rvert[/tex]
