{"id":4544,"date":"2013-06-29T06:42:19","date_gmt":"2013-06-29T06:42:19","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4544"},"modified":"2026-03-28T10:42:32","modified_gmt":"2026-03-28T15:42:32","slug":"rounding","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/rounding\/","title":{"rendered":"Rounding and Estimation"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_H3wU3EURHz8\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_H3wU3EURHz8\" data-source-videoID=\"H3wU3EURHz8\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Rounding and Estimation Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"Rounding and Estimation\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_H3wU3EURHz8:hover {cursor:pointer;} img#videoThumbnailImage_H3wU3EURHz8 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/01\/new-thumb-16.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_H3wU3EURHz8\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_H3wU3EURHz8\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Rounding and Estimation\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_H3wU3EURHz8\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_H3wU3EURHz8\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_H3wU3EURHz8\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction UvC_Function() {\n  var x = document.getElementById(\"UvC\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"UvC_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"UvC\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#How_to_Round_Numbers\" class=\"smooth-scroll\">How to Round Numbers<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#How_to_Estimate\" class=\"smooth-scroll\">How to Estimate<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Rounding_Practice_Problems\" class=\"smooth-scroll\">Rounding Practice Problems<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello! In this video you\u2019ll learn what rounding and estimation are, how to do each of them, and see some first hand examples. Let\u2019s get started!<\/p>\n<p>Rounding and estimation both involve using approximations to simplify messy mathematics. They differ, however, in that rounding simplifies a messy number, while estimation simplifies a messy calculation. <\/p>\n<p>For instance, suppose you buy a new riding lawn mower for exactly $3,184.29, but you tell your neighbor that it cost about $3,000. You have rounded the messier $3,184.29 to the simpler $3,000. On the other hand, suppose you need to buy 5 of these mowers for your lawn care business. To find the exact cost requires you to make the messy calculation 5\u00d7$3,184.29, but you can get a rough idea of the cost by instead using the estimate 5\u00d7$3,000=$15,000.<\/p>\n<h2><span id=\"How_to_Round_Numbers\" class=\"m-toc-anchor\"><\/span>How to Round Numbers<\/h2>\n<p>\nSo, how do we round a messy number? The basic plan is to replace the messy number with a nearby number that is easier to remember and easier to use in calculations. Here are the details.<\/p>\n<p>When we write a number in our place-value number system, digits to the left are typically considered more significant than those to the right. To round a number, we first decide the last place\u2014the least significant place\u2014that we want to keep. We call this the rounding place, indicated by R. Every digit to the left of the rounding place is more significant (indicated by M) so we keep it. The next digit to the right (indicated by N) and all the remaining digits to the right are less significant (indicated by L), so we zero them out.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL.webp\" alt=\"\" width=\"1555\" height=\"827\" class=\"aligncenter size-full wp-image-215997\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL.webp 1555w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL-300x160.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL-1024x545.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL-768x408.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/MMMMRNLLLL-1536x817.webp 1536w\" sizes=\"auto, (max-width: 1555px) 100vw, 1555px\" \/><\/p>\n<p>We must decide if we keep the digit in the rounding place (R) the same or increase it by 1. This will depend on the digit located one place to the right (N). If the next digit is 0 through 4, we keep the rounding digit unchanged. We call this rounding down. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down.webp\" alt=\"\" width=\"1787\" height=\"770\" class=\"aligncenter size-full wp-image-215999\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down.webp 1787w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down-300x129.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down-1024x441.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down-768x331.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Down-1536x662.webp 1536w\" sizes=\"auto, (max-width: 1787px) 100vw, 1787px\" \/><\/p>\n<p>If the next digit is 5 through 9, we increase the rounding digit by 1. We call this rounding up.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Up.webp\" alt=\"\" width=\"1394\" height=\"703\" class=\"aligncenter size-full wp-image-216001\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Up.webp 1394w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Up-300x151.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Up-1024x516.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-Up-768x387.webp 768w\" sizes=\"auto, (max-width: 1394px) 100vw, 1394px\" \/><\/p>\n<p>For example, suppose we want to round the number 4,738 to the hundreds place\u2014we call this rounding to the nearest hundred. This means the 7 is in the rounding place because it is in the hundreds place. We keep the 4 because it is more significant. To decide what to do with the rounding digit, 7, itself, we look at the next digit, the 3. Since 3 is less than 5, we keep 7 unchanged. We zero out the 3 and 8 because they are less significant. So, 4,738 is rounded down to the nearest hundred giving us 4,700.<\/p>\n<p>Now, suppose we want to round the number 4,738 to the thousands place\u2014we call this rounding to the nearest thousand. This means the 4 is now in the rounding place. There are no more significant places, so we move on to deciding what to do with the rounding digit, 4. We look at the next digit, the 7. Since 7 is greater than or equal to 5, we round the 4 up by increasing it to 5. Then we zero out the 7, 3, and 8 because they are less significant. So, rounding 4,738 to the nearest thousand gives us 5,000.<\/p>\n<p>Let\u2019s put the previous examples on number lines, to help us visualize how rounding works. We rounded 4,738 to the nearest hundred, and got 4,700. If we plot 4,738 on a number line marked off by hundreds, 4,738 is closer to 4,700 than it is to 4,800.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line.webp\" alt=\"\" width=\"2402\" height=\"566\" class=\"aligncenter size-full wp-image-216003\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line.webp 2402w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line-300x71.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line-1024x241.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line-768x181.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line-1536x362.webp 1536w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-down-number-line-2048x483.webp 2048w\" sizes=\"auto, (max-width: 2402px) 100vw, 2402px\" \/><\/p>\n<p>In the next example, when we rounded 4,738 to the nearest thousand, we got 5,000. If we plot 4,738 on a number line marked off by thousands, we see that 4,738 is closer to 5,000 than 4,000.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line.webp\" alt=\"\" width=\"2406\" height=\"449\" class=\"aligncenter size-full wp-image-216005\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line.webp 2406w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line-300x56.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line-1024x191.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line-768x143.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line-1536x287.webp 1536w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Rounding-up-number-line-2048x382.webp 2048w\" sizes=\"auto, (max-width: 2406px) 100vw, 2406px\" \/><\/p>\n<p>By the way, if we ever want to round a number that is exactly halfway between two numbers on the number line, by convention we round up. This is the reason we round the rounding digit up whenever the next digit is 5.<br \/>\nWhat happens if we want to round a number to a fractional place\u2014that is, to a place to the right of the decimal point? It turns out that the rules are exactly the same.<\/p>\n<p>For instance, suppose we want to round the number 92.67381 to the nearest thousandth. Our rounding digit is the 3 in the thousandths place. We keep all the digits to the left of 3. Since the next digit, 8, is 5 or greater, we round the rounding digit up to 4. The numbers after 4 become 0. This gives us a rounded answer of 92.67400, which we can write as 92.674. This is sometimes called \u201crounding to three decimal places\u201d instead of \u201crounding to the nearest thousandth.\u201d<\/p>\n<p>With enough practice you will be able to round most numbers almost instantly. There is one case, however, that often leads to confusion. What happens if your rounding digit is a 9, and you need to round it up? The answer is that you round 9 up to 10 by writing 0 in the rounding place and adding 1 to the place to the left.<\/p>\n<p>For example, suppose you want to round 429.5 to the nearest whole number (that is, to the ones place). Your rounding digit is 9, so you keep the 4 and 2. Because the next digit is 6, you round the 9 up to 10, writing 0 in the ones place and adding 1 to the 2 in the tens place. Then you zero out the 5. This gives you a rounded value of 430.0 or just 430.<\/p>\n<h2><span id=\"How_to_Estimate\" class=\"m-toc-anchor\"><\/span>How to Estimate<\/h2>\n<p>\nNow let\u2019s consider estimation. We estimate the result of a messy calculation by substituting a simpler calculation that gives a useful approximate answer. We often estimate by rounding some of the numbers in the messy calculation.<\/p>\n<p>For example, suppose you need to buy 12 copies of a book that costs $18.76, and you want to know about how much the total will be. The exact answer is 12\u00d7$18.76, but that is hard to do in your head. So, you might estimate the total by rounding 12 down to 10 and calculating 10\u00d7$18.76=$187.60. Or you might estimate by rounding $18.76 up to $20 and calculating 12\u00d7$20=$240. Or you might even round both numbers, calculating 10\u00d7$20=$200. These are all legitimate ways to estimate the total. They are also all reasonably close to the exact value of 12\u00d7$18.76=$225.12.<\/p>\n<p>The takeaway is that there may be several good ways to estimate the result of a calculation. An estimate is good as long as it is accurate enough to be useful.<\/p>\n<p>Here is an example for you to practice. You are a teacher with a $500 budget to buy scientific calculators for a class of 37 students. You are on the phone with a vendor who will sell you scientific calculators for $9.49 each. Can you purchase the calculators at this price and stay within your budget? You need to make a quick estimate in your head to see if it is worth asking the vendor for more details. Estimate the cost of buying 37 calculators at this price. Pause the video while you make your estimate, and then continue the video to see how your answer compares to mine.<\/p>\n<p>This is another example in which there are several good ways to make the estimate. You can round the 37 students up to 40 and the $9.49 price down to $9 to get an estimate of 40\u00d7$9=$360. You can also leave the 37 unrounded and round the $9.49 price up to $10 to get an estimate of 37\u00d7$10=$370. Rounding $9.49 up to $10 is not standard rounding; but $10 is a very simple number to work with, and it is still close enough to give you a useful estimate. In fact, rounding the price up has an added benefit. By rounding up, you guarantee that your estimate is an overestimate\u2014a total higher than the exact answer. <\/p>\n<p>Since the overestimate still falls within your $500 budget, you can be certain that the exact price of the calculators will be under $500. You can even take this approach one step further by rounding the class size of 37 up to 40 in addition to rounding the price up to $10 to get an overestimate of 40\u00d7$10=$400, also within the $500 budget. Now you know that you can afford this vendor\u2019s price, and it is reasonable to continue the phone call to find out other details.<\/p>\n<p>Keep in mind that this list of estimates is not exhaustive. You might come up with an estimate that is different but still valid and useful. And we should note that all these estimates are reasonably close to the exact value of 37\u00d7$9.49=$351.13.<\/p>\n<hr>\n<p>\nIn this lesson we learned that rounding is a way of simplifying numbers and estimation is a way of simplifying calculations. We round a number when we are more interested in the \u201cbig story\u201d than the details. We estimate the value of a calculation when the extra labor of getting an exact answer is unnecessary, impossible, or meaningless.<\/p>\n<p>The rounding and estimation guidelines in this video are widely used and will serve you well under most circumstances. But be aware that some circumstances and some jobs and fields of study call for different rounding and estimation rules. If you ever work in one of those fields, be sure to learn and follow its rules.<\/p>\n<p>I hope this video was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you round to the nearest hundred?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Round a number to the nearest hundred by determining if the number in the tens place is greater than or equal to 5.<\/p>\n<p>If the tens place is greater than or equal to 5, increase the hundreds place by 1. If the tens place is less than 5, keep the hundreds place the same. Then, change every number after the hundreds place to a 0.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example:  Round 6,852 to the nearest hundred.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">Look at the tens place. Since 5 \u2265 5, increase the hundreds place by 1 and replace every number after with a 0.<\/p>\n<p style=\"margin-bottom: 0em\">Therefore, 6,852 rounded to the nearest hundred is 6,900.<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you round to the nearest tenth?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Round to the nearest tenth by looking at the hundredth place.<\/p>\n<p>If it is greater than or equal to 5, round the tenth place up one digit. If it is less than 5, keep the tenths place the same. Don\u2019t write any numbers after the tenths place.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example:  Round 16.423 to the nearest tenth.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">Find the hundredths place (2). We know 2 is less than 5, so round down (tenths place stays the same), and only write up to the tenths place.<\/p>\n<p style=\"margin-bottom: 0em\">This means that 16.423 rounds to 16.4.<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you round decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Round decimals the same way you round non-decimal numbers.<\/p>\n<p>Check the number in the place value one below the one you are rounding to. If it is greater than or equal to 5, round up. If it is less than 5, round down. Then, only write the numbers until you reach the place you are rounding to.<\/p>\n<p>For example, the decimal number 8.715 would be rounded up to 9 since 7 is greater than 5.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Rounding_Practice_Problems\" class=\"m-toc-anchor\"><\/span>Rounding Practice Problems<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is the result of rounding 1,566.836 to the nearest hundredths place?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">1,566.83<\/div><div class=\"PQ\"  id=\"PQ-1-2\">1,600<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">1,566.84<\/div><div class=\"PQ\"  id=\"PQ-1-4\">1,566.846<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The hundredths place is the second digit on the right of the decimal, which makes 3 our round-off digit in this case. The digit on the right side of the 3 is \u22655, so we must <em>round up<\/em> that 3 to a 4 and drop the final digit (drop the 6 that\u2019s in the thousandths place).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is <strong style=\"font-weight: 600\">two hundred seventy-four and sixty-one hundredths<\/strong> rounded to the nearest tenths place?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">274.7<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">274.6<\/div><div class=\"PQ\"  id=\"PQ-2-3\">300<\/div><div class=\"PQ\"  id=\"PQ-2-4\">270<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The first step is to write the full number in numeric form: 274.61.<\/p>\n<p>Now, since our rounding-off digit\u2019s place value is the tenths place, we know that we will either round up the 6 or leave it alone (but no matter what, we will be dropping the 1). Because 1 is <5, we don't need to round that 6 up.\n<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nYou\u2019ve been told to round the number 93.84659 to the nearest thousandths place. What is your rounding-off digit?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">6<\/div><div class=\"PQ\"  id=\"PQ-3-2\">5<\/div><div class=\"PQ\"  id=\"PQ-3-3\">7<\/div><div class=\"PQ\"  id=\"PQ-3-4\">4<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The digit that is in the thousandths place (three places to the right of the decimal) is 6. Because the digit to the right of it is 5, we know that we would <em>round up<\/em> the 6, and we\u2019d end up with the number 93.847.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is the result of rounding 25.832344 to the nearest thousandths place?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">25.83<\/div><div class=\"PQ\"  id=\"PQ-4-2\">25.833<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-3\">25.832<\/div><div class=\"PQ\"  id=\"PQ-4-4\">25.84<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The 2 in the thousandths place is our rounding-off digit, and the digit to the right of it is 3. Since 3 is <5, we leave that 2 alone and drop any remaining digits (in other words, we truncate the number to the thousandths place).\n<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJenny pulls up to the nearest gas station to fill up her gas tank. A gallon of unleaded gasoline costs $2.849, and she wants to fill her car with 11 more gallons of fuel. How much money will she spend on filling up her gas tank?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">$31.33<\/div><div class=\"PQ\"  id=\"PQ-5-2\">$31.24<\/div><div class=\"PQ\"  id=\"PQ-5-3\">$31.35<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-4\">$31.34<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>While it\u2019s tempting to round up the gasoline\u2019s unit price ($2.849 per gallon) and then multiply $2.85 by 11 gallons, that isn&#8217;t how we\u2019d calculate our final answer!<\/p>\n<p>First multiply 2.849 by 11 to find that Jenny would pay $31.339 for 11 gallons. We need to round $31.339 to the nearest hundredths place. Our rounding-off digit is the rightmost 3, and the digit to the right of that is 9. Since 9 is \u22655, we <em>round up<\/em> our rounding-off digit to end up with the amount $31.34.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":239986,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4544","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-estimation","7":"page_category-math-advertising-group","8":"page_category-video-pages-for-study-course-sidebar-ad","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4544","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4544"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4544\/revisions"}],"predecessor-version":[{"id":280550,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4544\/revisions\/280550"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/239986"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4544"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}