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April 17th, 2017, 10:48 AM   #1
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I Don't Get this Addition and Divison Problem

I was looking at a sample quiz with an answer key and I really don't get a pretty basic problem.

|-6| + |8|
---------------
|-2|

According to the answer key the answer is 7.

Please explain the problem to this simpleton.

Thank you.
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April 17th, 2017, 11:06 AM   #2
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The absolute value of a number $x$ is

$
|x| =
\begin{cases}
~~~x ~~\text{if} ~~x \geq 0 \\
-x ~~\text{if} ~~ x < 0
\end{cases}
$

So:

$|{-6}| = 6$

$|8| = 8$

$|{-2}| = 2$

Then the numerator becomes $6 + 8 = 14$, and the denominator is $2$. So the answer is $14 / 2 = 7$.

Last edited by Maschke; April 17th, 2017 at 11:16 AM.
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April 17th, 2017, 12:30 PM   #3
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Absolute Value, of course!
I could not for the life of me remember what the lines next to the numbers meant.
Thanks.
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April 17th, 2017, 12:32 PM   #4
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Quote:
Originally Posted by 0864 View Post
Absolute Value, of course!
I could not for the life of me remember what the lines next to the numbers meant.
Thanks.
You're very welcome.
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