<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-rounding-decimals">Rounding Decimals Exercise</a></p><p>Some decimals go on forever, either in a repeating or non-repeating fashion. Some decimals terminate but there are still a fair number of digits after the decimal point. In both of these cases, we might want to <strong><span style="color:#27ae60;">Round the Decimals</span></strong>, essentially "cut them off." No more soup for you!</p>
<p>Rounding a decimal provides a convenient approximation of the number in question. Here's how you do it:</p>
<ul>
<li>Determine which place after the decimal point you want to be the "last one."
<ul>
<li>Is it the tenths place? The hundredths? The thousandths?</li>
</ul>
</li>
<li>Look to the right of that digit in that place. Note the number.</li>
<li>If the number to the right is either $0$, $1$, $2$, $3$, or $4$, simply discard every digit to the right of the place that you want to the "last one." </li>
<li>If the number to the right is either $5$, $6$, $7$, $8$, or $9$, add $1$ to the digit that is in the place you want to be the "last one" and discard everything to the right.</li>
<li>Sometimes if the digit in the "last place" is a $9$, there is a domino effect that influences other digits to the left. See examples three and four below.</li>
</ul>
<p><span style="font-size:20px;"><span style="color:#8e44ad;">Examples</span></span></p>
<p>Let's say we're rounding to the thousandths place.</p>
<p>$$\frac{1}{3} = 0.\overline3 = 0.333333... \approx 0.333$$</p>
<p>$$3.57885 \approx 3.579$$</p>
<p>$$0.569773 \approx 0.570$$</p>
<p>$$5.999999 \approx 6.000$$</p>