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

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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

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