<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-real-number-properties-iii" target="_blank">Real Number Properties III Exercise</a></p><p>Whenever you're completing operations on real numbers, we need to keep in mind several <strong><span style="color:#27ae60;">Real Number Properties</span></strong>:</p>
<ul>
<li><span style="color:#e74c3c;">Property 8</span>: If the product of two numbers equals $0$, say $ab=0$, then three possibilities exist:
<ul>
<li>$a=0$</li>
<li>$b=0$</li>
<li>Both $a$ and $b$ equal $0$</li>
</ul>
</li>
<li><span style="color:#e74c3c;">Property 9</span>: When you divide $0$ by $0$, the world might explode. Don't do it!
<ul>
<li>$\frac{0}{0}=undefined$</li>
</ul>
</li>
<li><span style="color:#e74c3c;">Property 10</span>: If $a>0$ and $b>0$, then the two things below are true:
<ul>
<li>$a+b>0$</li>
<li>$ab>0$</li>
</ul>
</li>
<li><span style="color:#e74c3c;">Property 11</span>: If $a<0$ and $b<0$, then the two things below are true:
<ul>
<li>$a+b<0$</li>
<li>$ab>0$</li>
</ul>
</li>
</ul>