Absolute Value

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-absolute-value" target="_blank">Absolute Value Exercise</a></p> <p><strong>Note</strong>: about 32 seconds into the video, -1 is &quot;output&quot; as -1. It should be 1; that is, |-1| = 1.&nbsp;</p><p>There are two ways to think about <strong><span style="color:#27ae60;">Absolute Value</span></strong>, the casual way and the &quot;correct&quot; way. The casual way is easier to understand.</p> <ul> <li><span style="color:#8e44ad;">Casual Definition</span>: The absolute value is a machine that &quot;makes whatever is inside it positive.&quot;</li> </ul> <p>$$|-5|=5$$</p> <p>$$|-3-5|=|-8|=8$$</p> <ul> <li><span style="color:#8e44ad;">The &quot;Correct&quot; Definition</span>: The absolute value of something is its &quot;distance from $0$&quot; on the number line. For example...</li> </ul> <p>$$|n|=5$$</p> <p>This is basically asking us what values of $n$ are a distance of $5$ away from $0$? Well that would be $5$ and $-5$ of course. That&#39;s why $n$ takes on two values here.</p> <p><strong><span style="color:#e74c3c;">Don&#39;t forget</span></strong> that the absolue value of something&nbsp;<strong><u>can</u></strong>&nbsp;equal zero but&nbsp;<strong><u>never</u></strong>&nbsp;a negative value.</p>