Rounding Decimals

<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 &quot;cut them off.&quot; No more soup for you!</p> <p>Rounding a decimal provides a convenient approximation of the number in question. Here&#39;s how you do it:</p> <ul> <li>Determine which place after the decimal point you want to be the &quot;last one.&quot; <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 &quot;last one.&quot;&nbsp;</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 &quot;last one&quot; and discard everything to the right.</li> <li>Sometimes if the digit in the &quot;last place&quot; 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&#39;s say we&#39;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>