{"id":4498,"date":"2013-06-29T06:30:45","date_gmt":"2013-06-29T06:30:45","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4498"},"modified":"2026-03-26T09:35:54","modified_gmt":"2026-03-26T14:35:54","slug":"order-of-operations","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/order-of-operations\/","title":{"rendered":"Order of Operations (PEMDAS)"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_dvT2vU24Gbc\" 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_dvT2vU24Gbc\" data-source-videoID=\"dvT2vU24Gbc\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Order of Operations (PEMDAS) Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"Order of Operations (PEMDAS)\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_dvT2vU24Gbc:hover {cursor:pointer;} img#videoThumbnailImage_dvT2vU24Gbc {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/01\/thumb2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_dvT2vU24Gbc\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_dvT2vU24Gbc\" 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\",\"Order of Operations (PEMDAS)\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_dvT2vU24Gbc\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_dvT2vU24Gbc\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_dvT2vU24Gbc\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction YSq_Function() {\n  var x = document.getElementById(\"YSq\");\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=\"YSq_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=\"YSq\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#PEMDAS_Meaning\" class=\"smooth-scroll\">PEMDAS Meaning<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Review\" class=\"smooth-scroll\">Review<\/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=\"#Math_Order_of_Operations_Rules_PDF\" class=\"smooth-scroll\">Math Order of Operations Rules PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Order_of_Operations_Practice_Problems\" class=\"smooth-scroll\">Order of Operations Practice Problems<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Order_of_Operations_Worksheet\" class=\"smooth-scroll\">Order of Operations Worksheet<\/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=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><input id=\"worksheets\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"worksheets\">Worksheets<\/label><a href=\"https:\/\/www.mometrix.com\/academy\/order-of-operations-calculator\/\" target=\"_blank\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Imagine you&#8217;re getting ready for a walk. You grab your shoes and socks and head to the couch. Which do you put on first: shoes or socks? Of course, it&#8217;s your socks. That&#8217;s the correct order.<\/p>\n<p>Now, imagine two friends attempting to simplify this expression: <span style=\"font-size: 90%;\">\\(28 \u2013 3 \u00d7 5 + 10\\)<\/span>. The first friend simplifies the expression to 23, and the second friend simplifies the expression to 135. Who is right? The first friend. They remembered to use the order of operations. The second friend &#8220;tried to put the shoes on first,&#8221; meaning they computed the first operation they came across, giving them an incorrect result. Just like prepping for your walk, simplifying expressions requires a set order, also known as the order of operations.<\/p>\n<h2><span id=\"PEMDAS_Meaning\" class=\"m-toc-anchor\"><\/span>PEMDAS Meaning<\/h2>\n<p>\nMany people use the acronym PEMDAS to help remember the order of operations. PEMDAS stands for \u201cParentheses, Exponents, Multiplication, Division, Addition, and Subtraction.\u201d The acronym also helps to remember that we start simplifying the expression from left to right, just like we read &#8220;PEMDAS&#8221; from left to right.<\/p>\n<h3><span id=\"PEMDAS_Examples\" class=\"m-toc-anchor\"><\/span>PEMDAS Examples<\/h3>\n<p>\nLet&#8217;s use PEMDAS to take a closer look at the order of operations.<\/p>\n<p><span style=\"font-size: 90%;\">\\(28 \u2013 3 \u00d7 5 + 10\\)<\/span><\/p>\n<p>Start by scanning the expression for &#8220;P&#8221; &#8211; parentheses. If you encounter a multiple-term expression inside the parentheses, continue to apply the same order of operations inside the parentheses to accurately simplify it before moving on to the next step. It\u2019s worth noting that you should also look for brackets and braces in this step as well. <\/p>\n<p>There are no parentheses in this expression, so we continue to the next operation: \u201cE\u201d for exponents.<\/p>\n<p>Exponents can be found anywhere in the expression, including on the outside of parentheses. When this happens, be sure to compute what&#8217;s inside the parentheses before applying the exponent. There are no exponents in this expression, so we move on to the next step.<\/p>\n<p>Now, we are looking for &#8220;MD&#8221; (either multiplication or division). Multiplication and division are inverse operations, so they are considered a set. This means we would use whichever operation comes first, from left to right. <\/p>\n<p>This expression has a multiplication operator (<span style=\"font-size: 90%;\">\\(3 \u00d7 5\\)<\/span>), so we compute that first: <span style=\"font-size: 90%;\">\\(3 \u00d7 5 = 15\\)<\/span>. To stay organized, we rewrite the expression below the original, showing our result for the first operation, <span style=\"font-size: 90%;\">\\(28 \u2013 3 \u00d7 5 + 10\\)<\/span> becomes <span style=\"font-size: 90%;\">\\(28 \u2013 15 + 10\\)<\/span>.<\/p>\n<p>We are ready to look for the last set of operations and finish simplifying this expression. The final set of operations &#8220;AS&#8221; &#8211; addition and subtraction. Just like multiplication and division, addition and subtraction are a set of inverse operations, so we treat them the same by using whichever operation comes first from left to right. In this expression, subtraction comes first, so we compute the subtraction, <span style=\"font-size: 90%;\">\\(28 \u2013 15 = 13\\)<\/span>, and then compute the addition: <span style=\"font-size: 90%;\">\\(13 + 10 = 23\\)<\/span>.<\/p>\n<p>Okay, before we work through some other problems, let\u2019s review what PEMDAS stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Follow this order of operations and complete any inverse operations (multiplication\/division and addition\/subtraction) from left to right.<\/p>\n<hr>\n<h2><span id=\"Review\" class=\"m-toc-anchor\"><\/span>Review<\/h2>\n<p>\nAll right, let\u2019s use PEMDAS to solve the following practice questions:<\/p>\n<p>1. Use the order of operations to simplify this expression to three terms.<\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 5^2 \u00d7 2) + 21 &#8211; 3\\)<\/span><\/p>\n<ol style=\"list-style-type: upper-alpha;\">\n<li><span style=\"font-size: 90%;\">\\(5^2 \u00d7 2 +18\\)<\/span><\/li>\n<li><span style=\"font-size: 90%;\">\\(73 &#8211; 50 +18\\)<\/span><\/li>\n<li><span style=\"font-size: 90%;\">\\(23 + 21 -3\\)<\/span><\/li>\n<li><span style=\"font-size: 90%;\">\\(48 + 21 -3\\)<\/span><\/li>\n<\/ol>\n<div style=\"text-align: center; margin-bottom: 20px;\">\n   <button class=\"buttontranscript\" onClick=\"toggle('Answer1')\">Show Answer<\/button>\n<\/div>\n<div id=\"Answer1\" class=\"showanswer\">\n   <strong>The correct answer is C!<\/strong><\/p>\n<p style=\"text-align: left;\">The first step when simplifying this expression is the exponent inside the parentheses.<\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 5^2 \u00d7 2) + 21 &#8211; 3\\)<\/span><\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 25 \u00d7 2) + 21 &#8211; 3\\)<\/span><br \/>\n&nbsp;<\/p>\n<p style=\"text-align: left;\">Next is the multiplication inside the parentheses.<\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 25 \u00d7 2) + 21 &#8211; 3\\)<\/span><\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 50) + 21 &#8211; 3\\)<\/span><br \/>\n&nbsp;<\/p>\n<p style=\"text-align: left;\">Finally, subtract inside the parentheses to simplify to three terms.<\/p>\n<p><span style=\"font-size: 90%;\">\\((73 &#8211; 50) + 21 &#8211; 3\\)<\/span><\/p>\n<p><span style=\"font-size: 90%;\">\\(23 + 21 &#8211; 3\\)<\/span><br \/>\n&nbsp;<\/p>\n<p style=\"text-align: left;\">If you selected choice A or B, you subtracted too soon and did not compute inside the parentheses first. If you selected choice D, you did not use the order of operations inside the parentheses. The first step to simplifying this expression is to compute the exponent inside the parentheses, then multiply, and then subtract.<\/p>\n<\/div>\n<p>\n&nbsp;<\/p>\n<p>2. Look at the two simplifications for the expression.<\/p>\n<p>\\(45 &#8211; 6+(3^2+2)+14\\)<br \/>\n&nbsp;<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Expression-simplifications.webp\" alt=\"\" width=\"794\" height=\"248\" class=\"aligncenter size-full wp-image-216011\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Expression-simplifications.webp 794w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Expression-simplifications-300x94.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/04\/Expression-simplifications-768x240.webp 768w\" sizes=\"auto, (max-width: 794px) 100vw, 794px\" \/><\/p>\n<p>Which student is correct, and what mistake did the other student make?<\/p>\n<ol style=\"list-style-type: upper-alpha;\">\n<li>Amir, Bart did not add before subtracting.<\/li>\n<li>Amir, Bart did not subtract before adding<\/li>\n<li>Bart, Amir did not add before subtracting.<\/li>\n<li>Bart, Amir did not subtract before adding.<\/li>\n<\/ol>\n<div style=\"text-align: center; margin-bottom: 20px;\">\n   <button class=\"buttontranscript\" onClick=\"toggle('Answer2')\">Show Answer<\/button>\n<\/div>\n<div id=\"Answer2\" class=\"showanswer\">\n   <strong>The correct answer is B!<\/strong><\/p>\n<p style=\"text-align: left;\">When computing addition and subtraction in an expression, always work from left to right and use the operation to the left first. In this expression, that is subtraction. So, Amir\u2019s simplification is correct, and Bart added before subtracting.<\/p>\n<\/div>\n<p>\n&nbsp;<\/p>\n<p>That\u2019s all for this review. 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;\">What is the order of operations in math?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The order of operations is the order you use to work out math expressions: parentheses, exponents, multiplication, division, addition, subtraction. All expressions should be simplified in this order.<\/p>\n<p>It&#8217;s important to note that multiplication and division can be worked at the same time. You are allowed to divide before you multiply, and the same goes for addition and subtraction. However, multiplication and division MUST come before addition and subtraction. The acronym PEMDAS is often used to remember this order.<\/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;\">Do you use the order of operations when there are no parentheses?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Yes, always use the order of operations to simplify expressions. If there are no parentheses, then skip that step and move on to the next one. The same applies for any other missing operation.<\/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;\">Do calculators do order of operations?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Not all calculators are able to follow the order of operations, but some do. For instance, most scientific calculators follow the order of operations.<\/p>\n<p>If you need some extra help, try out our <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/order-of-operations-calculator\/\">order of operations calculator<\/a>!<\/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;\">Which math operation comes first?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Parentheses are the first operation to solve in an equation. If there are no parentheses, then move through the order of operations (PEMDAS) until you find an operation you do have and start there.<\/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;\">What are the basic operations?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The four basic operations are: addition (+), subtraction (-), multiplication (\u00d7), and division (\u00f7).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Math_Order_of_Operations_Rules_PDF\" class=\"m-toc-anchor\"><\/span>Math Order of Operations Rules PDF<\/h2>\n<div>\n\t\t\t\t\t<img width=\"2550\" height=\"3300\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview.png\" class=\"attachment-full size-full\" alt=\"Infographic explaining the order of operations (PEMDAS) with examples, including addition, subtraction, multiplication, and division steps. Featured text: &quot;ORDER OF OPERATIONS,&quot; Mometrix logo, QR code.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview.png 2550w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview-232x300.png 232w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview-791x1024.png 791w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview-768x994.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview-1187x1536.png 1187w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations-preview-1583x2048.png 1583w\" sizes=\"auto, (max-width: 2550px) 100vw, 2550px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/08\/Order-of-Operations.pdf\"><span id=\"Your_Math_Order_of_Operations_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Math Order of Operations PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Order_of_Operations_Practice_Problems\" class=\"m-toc-anchor\"><\/span>Order of Operations 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 \/>\nUse the order of operations to solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(7\\times9+3-6\\div2+2^2-11\\) <span style=\"white-space:nowrap\">\\(\\:=\\) ?<\/span><\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">47<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">56<\/div><div class=\"PQ\"  id=\"PQ-1-3\">23<\/div><div class=\"PQ\"  id=\"PQ-1-4\">13<\/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 order of operations can be remembered by the acronym PEMDAS, which stands for: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right.<\/p>\n<p style=\"text-align:center;\">\\(7\u00d79+3-6\u00f72+2^2-11\\)<\/p>\n<p>There are no parentheses in this problem, so start with exponents.<\/p>\n<p style=\"text-align:center;\">\\(7\u00d79+3-6\u00f72+4-11\\)<\/p>\n<p>Then, multiply and divide from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\\(63+3-6\u00f72+4-11\\)<br \/>\n\\(63+3-3+4-11\\)<\/p>\n<p>Finally, add and subtract from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(66-3+4-11\\)<br \/>\n\\(63+4-11\\)<br \/>\n\\(67-11\\)<br \/>\n\\(56\\)<\/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 \/>\nUse the order of operations to solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(19+7(26-48 \\div 2)^3+3 \\times 6\\) <span style=\"white-space:nowrap\">\\(\\:=\\) ?<\/span><\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">93<\/div><div class=\"PQ\"  id=\"PQ-2-2\">1,902<\/div><div class=\"PQ\"  id=\"PQ-2-3\">173<\/div><div class=\"PQ\"  id=\"PQ-2-4\">251<\/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>First, start with parentheses. The order of operations must be followed even inside parentheses, so be sure to divide before you subtract.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(19+7(26-24)^3+3 \\times 6\\)<br \/>\n\\(19+7(2)^3+3 \\times 6\\)<\/p>\n<p>Next comes exponents.<\/p>\n<p style=\"text-align:center;\">\n\\(19+7(8)+3 \\times 6\\)<\/p>\n<p>Then, multiply from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(19+56+3\\times 6\\)<br \/>\n\\(19+56+18\\)<\/p>\n<p>Finally, add from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(75+18\\)<br \/>\n\\(93\\)<\/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 \/>\nUse the order of operations to solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(11+3-7 \\times 2+1 \\times 4 \\div 2\\) <span style=\"white-space:nowrap\">\\(\\: =\\) ?<\/span><\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">26<\/div><div class=\"PQ\"  id=\"PQ-3-2\">19<\/div><div class=\"PQ\"  id=\"PQ-3-3\">4<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">2<\/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>There are no parentheses or exponents, so start with multiplication and division from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(11+3-14+1\\times 4\u00f72\\)<br \/>\n\\(11+3-14+4\\div 2\\)<br \/>\n\\(11+3-14+2\\)<\/p>\n<p>Finally, add and subtract from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(14-14+2\\)<br \/>\n\\(0+2\\)<br \/>\n\\(2\\)<\/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 \/>\nUse the order of operations to solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(3(11+2)^2-18 \\div 6\\) <span style=\"white-space:nowrap\">\\(\\: =\\) ?<\/span><\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-4-1\">504<\/div><div class=\"PQ\"  id=\"PQ-4-2\">201<\/div><div class=\"PQ\"  id=\"PQ-4-3\">81<\/div><div class=\"PQ\"  id=\"PQ-4-4\">127<\/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>First, simplify what is in parentheses.<\/p>\n<p style=\"text-align:center;\">\\(3(13)^2-18 \\div 6\\)<\/p>\n<p>Then, do any exponents.<\/p>\n<p style=\"text-align:center;\">\\(3(169)-18 \\div 6\\)<\/p>\n<p>Next, multiply and divide from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\\(507-18 \\div 6\\)<br \/>\n\\(507-3\\)<\/p>\n<p>Finally, subtract.<\/p>\n<p style=\"text-align:center;\">\\(504\\)<\/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 \/>\nUse the order of operations to solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\((16-24)^2+3 \\times 11-1\\) <span style=\"white-space:nowrap\">\\(\\: =\\) ?<\/span><\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">736<\/div><div class=\"PQ\"  id=\"PQ-5-2\">451<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">96<\/div><div class=\"PQ\"  id=\"PQ-5-4\">72<\/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>First, simplify the parentheses.<\/p>\n<p style=\"text-align:center;\">\\((-8)^2+3 \\times 11-1\\)<\/p>\n<p>Then, do exponents.<\/p>\n<p style=\"text-align:center;\">\\(64+3 \\times 11-1\\)<\/p>\n<p>Next, multiply.<\/p>\n<p style=\"text-align:center;\">\\(64+33-1\\)<\/p>\n<p>Finally, add and subtract from left to right.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\\(97-1\\)<br \/>\n\\(96\\)<\/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 class=\"spoiler\" id=\"worksheets-spoiler\">\n<h2 style=\"text-align:center;\"><span id=\"Order_of_Operations_Worksheet\" class=\"m-toc-anchor\"><\/span>Order of Operations Worksheet<\/h2>\n<div style=\"display: flex;flex-flow: row wrap;justify-content: center;\">\n<p style=\"width:100%;\">Use our free printable order of operations worksheets for additional practice!<\/p>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Order of Operations Worksheet<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Order-of-Operations-Worksheets.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Order-of-Operations-Worksheet-preview-image.png\" alt=\"Order of Operations Worksheet Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Order of Operations (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/08\/Answer-Key-for-Order-of-Operations-Worksheets.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/08\/image_2022-08-08_133209820.png\" alt=\"Order of Operations (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n\n<p><script>\nfunction toggle(obj) {\n          var obj=document.getElementById(obj);\n          if (obj.style.display == \"block\") obj.style.display = \"none\";\n          else obj.style.display = \"block\";\n}\n<\/script><\/p>\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":239956,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4498","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-additional-topics","7":"page_category-manipulating-expressions-1","8":"page_category-math-advertising-group","9":"page_category-properties-and-rules-videos","10":"page_type-video","11":"content_type-fact-sheet","12":"content_type-practice-questions","13":"content_type-worksheets","14":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4498","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=4498"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4498\/revisions"}],"predecessor-version":[{"id":239962,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4498\/revisions\/239962"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/239956"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}