<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 "output" as -1. It should be 1; that is, |-1| = 1. </p><p>There are two ways to think about <strong><span style="color:#27ae60;">Absolute Value</span></strong>, the casual way and the "correct" 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 "makes whatever is inside it positive."</li>
</ul>
<p>$$|-5|=5$$</p>
<p>$$|-3-5|=|-8|=8$$</p>
<ul>
<li><span style="color:#8e44ad;">The "Correct" Definition</span>: The absolute value of something is its "distance from $0$" 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's why $n$ takes on two values here.</p>
<p><strong><span style="color:#e74c3c;">Don't forget</span></strong> that the absolue value of something <strong><u>can</u></strong> equal zero but <strong><u>never</u></strong> a negative value.</p>