{"id":4358,"date":"2013-06-29T05:41:38","date_gmt":"2013-06-29T05:41:38","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4358"},"modified":"2026-03-25T10:53:21","modified_gmt":"2026-03-25T15:53:21","slug":"adding-and-subtracting-decimals","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/adding-and-subtracting-decimals\/","title":{"rendered":"Adding and Subtracting Decimals"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_4dX2-b2bCck\" 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_4dX2-b2bCck\" data-source-videoID=\"4dX2-b2bCck\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Adding and Subtracting Decimals Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Adding and Subtracting Decimals\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_4dX2-b2bCck:hover {cursor:pointer;} img#videoThumbnailImage_4dX2-b2bCck {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/723-adding-and-subtracting-decimals-1-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_4dX2-b2bCck\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_4dX2-b2bCck\" 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\",\"Adding and Subtracting Decimals\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_4dX2-b2bCck\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_4dX2-b2bCck\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_4dX2-b2bCck\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 5gL_Function() {\n  var x = document.getElementById(\"5gL\");\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=\"5gL_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=\"5gL\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Adding_Decimals\" class=\"smooth-scroll\">Adding Decimals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Subtracting_Decimals\" class=\"smooth-scroll\">Subtracting Decimals<\/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=\"#Adding_and_Subtracting_Decimals_Practice_Questions\" class=\"smooth-scroll\">Adding and Subtracting Decimals Practice Questions<\/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><a href=\"https:\/\/www.mometrix.com\/academy\/decimal-calculator\" target=\"none\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Although it may be easier to deal only with whole numbers, such as 2, 45, or 120, if you look carefully, decimals appear frequently throughout our daily lives. <\/p>\n<p>For example, an item at a store could cost $2.75, or your favorite basketball player may average 19.7 points per game. You could take out a loan with a 4.45% interest rate, or the winner of the 100-meter relay may have completed the race in 12.67 seconds.<\/p>\n<p>In order to use decimals effectively, it is important to be able to utilize and manipulate <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/decimals\/\">decimals<\/a> in mathematical expressions.<\/p>\n<p>Today, we\u2019re going to cover the basics\u2014addition and subtraction. <\/p>\n<h2><span id=\"Adding_Decimals\" class=\"m-toc-anchor\"><\/span>Adding Decimals<\/h2>\n<p>\nWe\u2019ll start with a simple example of adding decimals, so let\u2019s try it: <\/p>\n<div class=\"examplesentence\">\\(32.61+11.54\\)<\/div>\n<p>\n&nbsp;<br \/>\nThe first step, like you can see, is to line up the two decimals like so:<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:13%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:20%\"><span style=\"float:right\">\\(32.61\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(+\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:20%\"><span style=\"float:right\">\\(11.54\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nNote that because of the commutative property of addition, it does not matter which decimal is placed first (however it will make a difference when we do subtraction).<\/p>\n<p>Make sure that the decimal points in each number are lined up exactly. If your decimals are not lined up correctly, you will end up with the wrong answer. <\/p>\n<p>Once you have your two decimals lined up, you begin to solve the problem as you would with any addition problem. <\/p>\n<p>First, we add the two numbers in the <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/place-value\/\">hundredths place<\/a>, \\(1\\) and \\(4\\), which gives us \\(5\\) in the hundredths place. We then add \\(6\\) and \\(5\\), which are in the tenths&#8217; place, and that gives us 11, so we carry the 1. Bring down our decimal, and now we have \\(2+1+\\) this other \\(1\\), so it\u2019s \\(3\\), \\(4\\). And now we add \\(3\\) and \\(1\\) and get \\(4\\). So our final answer is \\(44.15\\).<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:13%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:20%\"><span style=\"float:right\">\\(32.61\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(+\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:20%\"><span style=\"float:right\">\\(11.54\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:20%\"><span style=\"float:right\">\\(44.15\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<\/p>\n<h2><span id=\"Subtracting_Decimals\" class=\"m-toc-anchor\"><\/span>Subtracting Decimals<\/h2>\n<p>\nLet\u2019s move over to subtraction. We\u2019ll start with a simple problem: <\/p>\n<div class=\"examplesentence\">\\(7.5-2.8\\)<\/div>\n<p>\n&nbsp;<br \/>\nJust as with addition, the first step is to line up the numbers with the decimal point in the same place. Your expression should look like this:<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:10%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(7.5\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(&#8211;\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:10%\"><span style=\"float:right\">\\(2.8\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nBegin to subtract as you would any subtraction problem. Starting in the tenths&#8217; column, you will need first to borrow from our ones&#8217; column because \\(5-8\\) doesn\u2019t work out. So, take \\(1\\), make this \\(6\\), and then carry it over. So now we have \\(8\\) being subtracted from \\(15\\), which gives us \\(7\\). Bring down our decimal, and now we have \\(2\\) being subtracted from \\(6\\), which gives us \\(4\\). So our final answer is \\(4.7\\).<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:10%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(7.5\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(&#8211;\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:10%\"><span style=\"float:right\">\\(2.8\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(4.7\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nFinally, let\u2019s do one more subtraction problem: <\/p>\n<div class=\"examplesentence\">\\(10.53-4.274\\)<\/div>\n<p>\n&nbsp;<br \/>\nOnce again, we line up our two numbers, making certain that our decimal points are in the same position. Your expression should look like this:<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:15%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(10.53 \\phantom{0}\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(&#8211;\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:10%\"><span style=\"float:right\">\\(4.274\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nYou may want to add zeros to balance out, so it looks, just feels like it\u2019s full there, which is fine. You can not add them, and that\u2019s fine too.<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:15%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(10.530\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(&#8211;\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:10%\"><span style=\"float:right\">\\(4.274\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nOnce again, in this problem, we need to begin by borrowing from our hundredths place. So we make this a \\(2\\) and bring our \\(1\\) over so now we have \\(4\\) being subtracted from \\(10\\), which gives us \\(6\\). Then we have \\(7\\) being subtracted from \\(2\\) which doesn\u2019t work, so we need to borrow again. This becomes \\(4\\), carry over a \\(1\\) to have \\(12\\) so \\(7\\) being subtracted from \\(12\\), that gives us \\(5\\). Now we have \\(2\\) being subtracted from \\(4\\) which gives us \\(2\\). Bring down our decimal point, we have \\(4\\) being subtracted from \\(0\\), which we know does not work, so this becomes \\(0\\). Carry our \\(1\\) and we have \\(10-4\\) which gives us \\(6\\). So our final answer is \\(6.256\\).<\/p>\n<table class=\"ATable\" style=\"margin: auto; border:none; font-size:120%; width:15%\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(10.530\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:10%\">\\(&#8211;\\)<\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; width:10%\"><span style=\"float:right\">\\(4.274\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><\/td>\n<td style=\"text-align:left; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:10%\"><span style=\"float:right\">\\(6.256\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nYou should now have a strong understanding as to how to add and subtract decimals. Remember to always line up your numbers and make sure the decimals of each number are in the same place!<\/p>\n<p>Thanks for watching, and see you guys next time!<\/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;\">What are the steps for adding and subtracting decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>To add or subtract decimal numbers, set up the numbers as usual for vertical addition or subtraction, aligning the numbers at the decimal points. Add extra zeroes after the decimal if necessary. Add or subtract as normal, keeping the decimal in the same position.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: \\(243.5 + 1.279 =\\) ?<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Adding-Decimals-Example-1.svg\" alt=\"A vertical addition of 243.500 and 1.279 equals 244.779.\" width=\"101\" height=\"77\" class=\"aligncenter size-full wp-image-273403\"  role=\"img\" \/><\/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 is estimation helpful when adding and subtracting decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Estimation is helpful when adding and subtracting decimals because it helps you know if your answer is close to the right answer or not.<\/p>\n<p>For example, say you added \\(12.4 + 2.73\\) and got \\(3.97\\). Rounding each number to the nearest whole number would give you \\(12 + 3\\), which equals \\(15.\\:3.97\\) isn\u2019t anywhere close to that, so you know you must have made an error somewhere. You go back to your original work and notice that you forgot to align your decimal points. Now you can fix your problem and get the correct answer of 15.13.<\/p>\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;\">Why is it important to line up decimals when adding?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>It is important to line up decimals when adding because it ensures you are adding the correct place values.<\/p>\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 subtract decimals from whole numbers?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Subtract decimal numbers from whole numbers by turning the whole number into a decimal by adding a decimal point and as many zeroes as needed. Then, subtract as normal.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: \\(12 &#8211; 8.13\\)<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Subtracting-Decimals-Example.svg\" alt=\"Math equation showing 12.00 minus 8.13 equals 3.87.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-273406\"  role=\"img\" \/><\/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 subtract negative decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Subtracting a negative number is like adding that number. So, subtracting a negative decimal is adding that negative decimal. For example, \\(-2.3 &#8211; (-7.4) \\)\\(\\:= -2.3 + 7.4 = 5.1\\)<\/p>\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 subtract repeating decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Subtract repeating decimals by turning them into fractions and subtracting the fractions, or by rounding the repeating decimals and subtracting.<\/p>\n<p style=\"text-align:center;\">\\(0.\\overline{6}-0.\\overline{3}\\)<\/p>\n<p style=\"text-align:center;\">\\(0.\\overline{6}=\\frac{2}{3}\\:\\) and \\(\\:0.\\overline{3}=\\frac{1}{3}\\)<\/p>\n<p style=\"text-align:center;\">\\(\\dfrac{2}{3}-\\dfrac{1}{3}=\\dfrac{1}{3}\\)<\/p>\n<p style=\"text-align:center;\">OR<\/p>\n\n<p style=\"text-align:center;\"> \\(0.\\overline{6}\u22480.67\\:\\) and \\(\\:0.\\overline{3}\u22480.33\\)<\/p>\n<p style=\"text-align:center;\">\\(0.67-0.33=0.34\\)<\/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=\"Adding_and_Subtracting_Decimals_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Adding and Subtracting Decimals Practice Questions<\/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 \/>\n\\(4+17.31=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">17.35<\/div><div class=\"PQ\"  id=\"PQ-1-2\">57.31<\/div><div class=\"PQ\"  id=\"PQ-1-3\">17.71<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\">21.31<\/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 correct answer is 21.31. To add decimals, line up the decimal points on top of one another, add zeroes where necessary as placeholders, and add as normal. Remember, if there is no decimal point, it is at the end of the number.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-1.svg\" alt=\"Two numbers, 4.00 and 17.38, are added together with their sum shown as 21.31.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286414\"  role=\"img\" \/><\/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 \/>\n\\(16.17+2.421=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">40.38<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">18.591<\/div><div class=\"PQ\"  id=\"PQ-2-3\">4.083<\/div><div class=\"PQ\"  id=\"PQ-2-4\">1.85<\/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 correct answer is 18.591. To add decimals, line up the decimal points on top of one another, add 0s where necessary as place holders, and add as normal.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-2.svg\" alt=\"An addition problem showing 16.170 plus 2.421 equals 18.591.\" width=\"83\" height=\"76\" class=\"aligncenter size-full wp-image-286417\"  role=\"img\" \/><\/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 \/>\n\\(78.179-1.23=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">70.056<\/div><div class=\"PQ\"  id=\"PQ-3-2\">7.69<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">76.949<\/div><div class=\"PQ\"  id=\"PQ-3-4\">7.06<\/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 correct answer is 76.949. To subtract decimals, line up the decimal points on top of one another, add 0s where necessary as place holders, and subtract as normal.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-3.svg\" alt=\"A vertical subtraction problem showing 78.179 minus 1.230, with the result 76.949 written below a horizontal line.\" width=\"83\" height=\"76\" class=\"aligncenter size-full wp-image-286420\"  role=\"img\" \/><\/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 \/>\nSusie is baking cinnamon rolls and needs 0.63 tsp of cinnamon for the dough, 3.71 tsp of cinnamon for the filling, and 0.12 tsp of cinnamon for the icing. How many teaspoons of cinnamon does she need total?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">3.19 tsp<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">4.46 tsp<\/div><div class=\"PQ\"  id=\"PQ-4-3\">5.63 tsp<\/div><div class=\"PQ\"  id=\"PQ-4-4\">6.21 tsp<\/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 correct answer is 4.46 tsp. When solving word problems, look for clue words that help you know what the question is asking. The main clue word in this problem is \u201ctotal,\u201d which tells us we need to add our values together.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-4.svg\" alt=\"Column addition of 0.63, 3.71, and 0.12, showing intermediate sum of 4.34 and final total of 4.46.\" width=\"64\" height=\"130\" class=\"aligncenter size-full wp-image-286423\"  role=\"img\" \/><\/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 \/>\nJonathan gets $45 for his birthday. He spends $29.73 on a video game, $1.12 on a package of gum, and $2.81 on a soda. How much money does he have left?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">$11.34<\/div><div class=\"PQ\"  id=\"PQ-5-2\">$12.73<\/div><div class=\"PQ\"  id=\"PQ-5-3\">$11.17<\/div><div class=\"PQ\"  id=\"PQ-5-4\">$12.12<\/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>The correct answer is $11.34. When a word problem asks how much is left, it often involves subtraction. Jonathan starts with $45 and then uses that money for three different things. Subtract the price of each item from his starting value to determine how much money he has left. First, subtract $29.73 for the video game.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-5.svg\" alt=\"An equation showing 45.00 minus 29.73 with a result of 15.27.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286426\"  role=\"img\" \/><\/p>\n<p>Then, subtract $1.12 for the package of gum.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-6.svg\" alt=\"The image shows the subtraction problem 15.27 minus 1.12, resulting in 14.15.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286429\"  role=\"img\" \/><\/p>\n<p>Finally, subtract $2.81 for the soda.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-7.svg\" alt=\"Vertical subtraction problem showing 14.15 minus 2.81, with the answer 11.34 written below a horizontal line.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286405\"  role=\"img\" \/><\/p>\n<p>Jonathan has $11.34 left.<\/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>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #6:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nZola buys 22.31 ounces of hard candy and 16.58 ounces of gummy candy. What is the total amount of candy that Zola buys?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-6-1\">3.889 ounces<\/div><div class=\"PQ correct_answer\"  id=\"PQ-6-2\">38.89 ounces<\/div><div class=\"PQ\"  id=\"PQ-6-3\">388.9 ounces<\/div><div class=\"PQ\"  id=\"PQ-6-4\">3889 ounces<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-6\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-6-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>When adding two numbers with decimal places, we line up the numbers and add the numbers in the hundredths place together \\((8 +1)\\) and the tenths place together \\((3+5)\\), and the ones place together \\((2+6)\\), and the tens place together \\((2+1)\\).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-8.svg\" alt=\"An addition problem showing 22.31 plus 16.58 equals 38.89, written in stacked format.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286408\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-6-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6-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 #7:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nCannon buys 16.56 pounds of pears and 13.42 pounds of grapes. How many pounds of fruit did Cannon buy?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-7-1\">2.998 pounds<\/div><div class=\"PQ correct_answer\"  id=\"PQ-7-2\">29.98 pounds<\/div><div class=\"PQ\"  id=\"PQ-7-3\">299.8 pounds<\/div><div class=\"PQ\"  id=\"PQ-7-4\">2998 pounds<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-7\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-7-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>When adding numbers with decimal places, we line up the numbers and add the numbers in the hundredths place together \\((6+2)\\) and the tenths place together \\((5+4)\\), and the ones place together \\((6+3)\\), and the tens place together \\((1+1)\\).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Adding-and-Subtracting-Decimals-Problem-9.svg\" alt=\"Vertical addition showing 16.56 plus 13.42 equals 29.98, with the numbers aligned by decimal point.\" width=\"71\" height=\"76\" class=\"aligncenter size-full wp-image-286411\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-7-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7-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\/fractions-decimals-and-percentages\/\">Return to Fraction, Decimals, and Percentages Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Fraction, Decimals, and Percentages Videos<\/p>\n","protected":false},"author":1,"featured_media":99784,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4358","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-decimals-videos","7":"page_category-decimals","8":"page_category-math-advertising-group","9":"page_category-video-pages-for-study-course-sidebar-ad","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4358","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=4358"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4358\/revisions"}],"predecessor-version":[{"id":240130,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4358\/revisions\/240130"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99784"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}