<p><span style="font-size:22px"><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-terminating-versus-non-terminating">Terminating versus Non-Terminating Exercise</a></span></p><p>A fraction, when converted to a decimal, will do one of two things:</p>
<ul>
<li><span style="color:#e74c3c;">Terminate (red means stop)</span>
<ul>
<li>The decimals stop at some point.</li>
</ul>
</li>
<li><span style="color:#27ae60;">Not Terminate (green means go)</span>
<ul>
<li>The decimals go on forever, like the crazy fools they are.</li>
</ul>
</li>
</ul>
<p><span style="font-size:20px;"><span style="color:#e74c3c;">Examples (Terminating)</span></span></p>
<p style="text-align: center;">$$\frac{1}{2}=0.5$$</p>
<p style="text-align: center;">$$\frac{5}{16}=0.3125$$</p>
<p><span style="font-size:20px;"><span style="color:#27ae60;">Examples (Non-Terminating)</span></span></p>
<p style="text-align: center;">$$\frac{1}{3}=0.3333...$$</p>
<p style="text-align: center;">$$\frac{2}{7}=0.285714...$$</p>
<p><span style="color:#8e44ad;"><span style="font-size:20px;">It's Not Just Fractions</span></span></p>
<p>Irrational numbers are also non-terminating. Take any irrational number and its decimals will go on forever. Look at the two examples below:</p>
<p>$$\pi = 3.141592653589...$$</p>
<p>$$\sqrt{2}=1.414213562373...$$</p>