{"id":34367,"date":"2024-12-16T08:59:52","date_gmt":"2024-12-16T08:59:52","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=34367"},"modified":"2024-12-16T11:30:43","modified_gmt":"2024-12-16T11:30:43","slug":"order-of-operations","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/order-of-operations\/","title":{"rendered":"Order of Operations Explained | Simple Rules for Solving Math Problems"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"34367\" class=\"elementor elementor-34367\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-da588fd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"da588fd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3be3abb\" data-id=\"3be3abb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-af19b01 elementor-widget elementor-widget-text-editor\" data-id=\"af19b01\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>The Order of Operations in Math \u2014 A Kid-Friendly Guide<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-269c87a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"269c87a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-902c785\" data-id=\"902c785\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7f9478b elementor-widget elementor-widget-text-editor\" data-id=\"7f9478b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Understanding the order of operations is very important in mathematics if you have to solve equations correctly. Without these, calculations could get complex and lead to getting the wrong answer. Perhaps you have an exam tomorrow or next week, and you wish to refresh your understanding, then this comprehensive guide will aid you in masterfully perfecting the art of operations with practical examples, definitions, and questions and answers.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-2968bc3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2968bc3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0c50e0e\" data-id=\"0c50e0e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-23e82f0 elementor-widget elementor-widget-text-editor\" data-id=\"23e82f0\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What is the Order of Operations?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-102f9d0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"102f9d0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-deb0fbb\" data-id=\"deb0fbb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-af1626a elementor-widget elementor-widget-image\" data-id=\"af1626a\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"341\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2024\/12\/order-of-operations.jpg\" class=\"attachment-large size-large wp-image-34374\" alt=\"Order of Operations\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-54e47db elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"54e47db\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d1e7adf\" data-id=\"d1e7adf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0371d37 elementor-widget elementor-widget-text-editor\" data-id=\"0371d37\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Have you ever tried to solve a math problem but didn&#8217;t know where to start? For instance, when you look at 3 + 8 \u00d7 2 \u2013 6, what do you do first?<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add 3 and 8?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply 8 and 2?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtract 6 from 2?<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">The order of operations is the rules which tell us where to start in a mathematical expression containing more than one operation such as addition, subtraction, multiplication, or division. The correct outcome will always be achieved following the order.<\/span><\/p><h4><b>Example:<\/b><\/h4><p><span style=\"font-weight: 400;\">Let\u2019s solve <\/span><b>3 + 8 \u00d7 2 \u2013 6<\/b><span style=\"font-weight: 400;\"> using the correct steps:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Perform multiplication: <\/span><b>8 \u00d7 2 = 16<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: <\/span><b>3 + 16 = 19<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtract: <\/span><b>19 \u2013 6 = 13<\/b><\/li><\/ol><p><span style=\"font-weight: 400;\">The right answer is 13.<\/span><\/p><p><span style=\"font-weight: 400;\">We remember how to work it out by using an acronym, PEMDAS:<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-5dac47c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5dac47c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bbf4114\" data-id=\"bbf4114\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c8d5048 elementor-widget elementor-widget-image\" data-id=\"c8d5048\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"256\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2024\/12\/pemdas.jpg\" class=\"attachment-large size-large wp-image-34373\" alt=\"PEMDAS\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-36a3abd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"36a3abd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e1962ff\" data-id=\"e1962ff\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7912aed elementor-widget elementor-widget-text-editor\" data-id=\"7912aed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">P: Parentheses solve the expression inside first<\/span><\/p><p><span style=\"font-weight: 400;\">E: Exponents (solve powers or square roots)<\/span><\/p><p><span style=\"font-weight: 400;\">MD: Multiplication and Division, solve from left to right<\/span><\/p><p><span style=\"font-weight: 400;\">AS: Addition and Subtraction, solve from left to right<\/span><\/p><p><span style=\"font-weight: 400;\">There are some other versions of the mnemonic in different countries: BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) and BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction).<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8e86a60 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8e86a60\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9ad06ec\" data-id=\"9ad06ec\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f0e61e4 elementor-widget elementor-widget-text-editor\" data-id=\"f0e61e4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2><b>Steps in PEMDAS with Examples<\/b><\/h2>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-5e4e614 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5e4e614\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f1dfe14\" data-id=\"f1dfe14\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13d28fc elementor-widget elementor-widget-image\" data-id=\"13d28fc\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-image\">\n\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"512\" height=\"341\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2024\/12\/example-of-operations.jpg\" class=\"attachment-large size-large wp-image-34372\" alt=\"Example of Operations\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b27f15f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b27f15f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3adeda3\" data-id=\"3adeda3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c9f3d57 elementor-widget elementor-widget-text-editor\" data-id=\"c9f3d57\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h4><span style=\"color: #33cccc;\"><b>1. Parentheses<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Always evaluate what&#8217;s in the parentheses first.<\/span><\/p><p><span style=\"font-weight: 400;\">Example: <\/span><b>3 \u00d7 (4 + 2)<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Evaluates what&#8217;s inside the parentheses<\/span><b>: 4 + 2 = 6<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply: <\/span><b>3 \u00d7 6 = 18<\/b><\/li><\/ol><p><span style=\"font-weight: 400;\">Sometimes, expressions contain multiple layers of parentheses:<\/span><\/p><p><span style=\"font-weight: 400;\">Example: <\/span><b>{4 \u00d7 [5 + (6 \u2013 3)]} \u2013 (8 \u2013 2)<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">First, evaluate the innermost parentheses<\/span><span style=\"font-weight: 400;\">: <\/span><b>6 \u2013 3 = 3<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>{4 \u00d7 [5 + 3]} \u2013 (8 \u2013 2)<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Next layer to solve: <\/span><b>5 + 3 = 8<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>{4 \u00d7 8} \u2013 (8 \u2013 2)<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply: <\/span><b>4 \u00d7 8 = 32<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>32 \u2013 (8 \u2013 2)<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Next to Solve the parentheses: <\/span><b>8 \u2013 2 = 6<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>32 \u2013 6<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtract: <\/span><b>32 \u2013 6 = 26<\/b><\/li><\/ol><h4><span style=\"color: #993366;\"><b>2. Exponents<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Exponents are how many times a number is multiplied by itself.<\/span><\/p><p><span style=\"font-weight: 400;\">Example: <\/span><b>3\u00b2 + 4 \u00d7 2<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Solve the exponent: <\/span><b>3\u00b2 = 9<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>9 + 4 \u00d7 2<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply: <\/span><b>4 \u00d7 2 = 8<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>9 + 8<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: <\/span><b>9 + 8 = 17<\/b><\/li><\/ol><h4><span style=\"color: #008080;\"><b>3. Multiply and Division<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Do all from left to right.<\/span><\/p><p><span style=\"font-weight: 400;\">Example: <\/span><b>8 \u00f7 2 \u00d7 4 + 3<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Divide: <\/span><b>8 \u00f7 2 = 4<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>4 \u00d7 4 + 3<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply: <\/span><b>4 \u00d7 4 = 16<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>16 + 3<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: <\/span><b>16 + 3 = 19<\/b><\/li><\/ol><h4><span style=\"color: #808000;\"><b>4. Add and Subtract<\/b><\/span><\/h4><h4><span style=\"font-weight: 400;\">Perform these from left to right.<\/span><\/h4><p><span style=\"font-weight: 400;\">Example: <\/span><b>10 \u2013 4 + 3<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtract: <\/span><b>10 \u2013 4 = 6<\/b><span style=\"font-weight: 400;\"> \u2192 <\/span><b>6 + 3<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: <\/span><b>6 + 3 = 9<\/b><\/li><\/ol>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-891b36c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"891b36c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8475e10\" data-id=\"8475e10\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0cc28bd elementor-widget elementor-widget-text-editor\" data-id=\"0cc28bd\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Common Mistakes Using the Order of Operations Math<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-044c55e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"044c55e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0eea666\" data-id=\"0eea666\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f0a228a elementor-widget elementor-widget-text-editor\" data-id=\"f0a228a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Understanding the order of operations is critical to get the correct solutions for math equations. Students, however, are often victims of common pitfalls while working with PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.<\/span><\/p><p><span style=\"font-weight: 400;\">Let&#8217;s look at some typical errors and how to not make them:<\/span><\/p><h4><span style=\"color: #993300;\"><b>1. Missing the Parentheses<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Parentheses should always be dealt with first, but many students miss this and end up with an incorrect answer.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 5\u00d7(2+6)\u221245 \\times (2 + 6) &#8211; 45\u00d7(2+6)\u22124.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Mistake: Doing 5\u00d72=105 \\times 2 = 105\u00d72=10, then 10+6\u22124=1210 + 6 &#8211; 4 = 1210+6\u22124=12.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Correct: Begin with the parentheses:<\/span><\/p><p><span style=\"font-weight: 400;\">5\u00d7(2+6)\u22124=5\u00d78\u22124=40\u22124=36.5 \\times (2 + 6) &#8211; 4 = 5 \\times 8 &#8211; 4 = 40 &#8211; 4 = 36. 5\u00d7(2+6)\u22124=5\u00d78\u22124=40\u22124=36.<\/span><\/p><h4><span style=\"color: #339966;\"><b>2. Treating Multiplication as Always First<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Most believe that multiplication is always to be done before division, but both are equal and must be done from left to right.<\/span><\/p><p><span style=\"font-weight: 400;\">Practice:<\/span><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 24\u00f74\u00d7324 \\div 4 \\times 324\u00f74\u00d73.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Mistake: Doing 4\u00d73=124 \\times 3 = 124\u00d73=12, then 24\u00f712=224 \\div 12 = 224\u00f712=2.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Correct Procedure: Do left to right:<\/span><\/p><p><span style=\"font-weight: 400;\">24\u00f74\u00d73=6\u00d73=18.24 \\div 4 \\times 3 = 6 \\times 3 = 18. 24\u00f74\u00d73=6\u00d73=18.<\/span><\/p><h4><span style=\"color: #993366;\"><b>3. <\/b><b>Misapplication of Addition and Subtraction<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Addition and subtraction are equally weighted. If they are calculated out of order, incorrect solutions are obtained.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 15\u22125+1015 &#8211; 5 + 1015\u22125+10.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Mistake: Adding first: 5+10=155 + 10 = 155+10=15, then 15\u221215=015 &#8211; 15 = 015\u221215=0.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Correct Approach: Work left to right:<\/span><\/p><p><span style=\"font-weight: 400;\">15\u22125+10=10+10=20.15 &#8211; 5 + 10 = 10 + 10 = 20. 15\u22125+10=10+10=20.<\/span><\/p><h4><span style=\"color: #333399;\"><b>4. Failure to consider Exponents<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">Exponents are often overlooked or incorrectly calculated, changing the entire outcome.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 2\u00d732\u221242 \\times 3^2 &#8211; 42\u00d732\u22124.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Mistake: Multiplying first: 2\u00d73=62 \\times 3 = 62\u00d73=6, then 62\u22124=36\u22124=326^2 &#8211; 4 = 36 &#8211; 4 = 3262\u22124=36\u22124=32.<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">Correct Approach: Apply the exponent first:<\/span><\/p><p><span style=\"font-weight: 400;\">2\u00d732\u22124=2\u00d79\u22124=18\u22124=14.2 \\times 3^2 &#8211; 4 = 2 \\times 9 &#8211; 4 = 18 &#8211; 4 = 14. 2\u00d732\u22124=2\u00d79\u22124=18\u22124=14.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-4731f28 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4731f28\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-74c9bca\" data-id=\"74c9bca\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2489feb elementor-widget elementor-widget-text-editor\" data-id=\"2489feb\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Examples Using PEMDAS<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-149b97d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"149b97d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3e6a305\" data-id=\"3e6a305\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13a3d38 elementor-widget elementor-widget-text-editor\" data-id=\"13a3d38\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h4><b>Example 1:<\/b><\/h4><p><span style=\"font-weight: 400;\">Solve 4+(5\u00d72)2\u00f7104 + (5 \\times 2)^2 \\div 104+(5\u00d72)2\u00f710.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Parentheses: 5\u00d72=105 \\times 2 = 105\u00d72=10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Exponent: 102=10010^2 = 100102=100.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Division: 100\u00f710=10100 \\div 10 = 10100\u00f710=10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Addition: 4+10=144 + 10 = 144+10=14.<\/span><\/li><\/ol><p><b>Answer:<\/b><span style=\"font-weight: 400;\"> 14<\/span><\/p><h4><b>Example 2:<\/b><\/h4><p><span style=\"font-weight: 400;\">Solve (12\u22128)\u00d73+23\u00f74(12 &#8211; 8) \\times 3 + 2^3 \\div 4(12\u22128)\u00d73+23\u00f74.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Parentheses: 12\u22128=412 &#8211; 8 = 412\u22128=4.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Exponent: 23=82^3 = 823=8.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiplication: 4\u00d73=124 \\times 3 = 124\u00d73=12.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Division: 8\u00f74=28 \\div 4 = 28\u00f74=2.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Addition: 12+2=1412 + 2 = 1412+2=14.<\/span><\/li><\/ol><p><b>Answer:<\/b><span style=\"font-weight: 400;\"> 14<\/span><\/p><h4><b>Example 3:<\/b><\/h4><p><span style=\"font-weight: 400;\">Solve 60\u00f7(3+2)\u00d74\u2212760 \\div (3 + 2) \\times 4 &#8211; 760\u00f7(3+2)\u00d74\u22127.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Parentheses: 3+2=53 + 2 = 53+2=5.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Division: 60\u00f75=1260 \\div 5 = 1260\u00f75=12.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiplication: 12\u00d74=4812 \\times 4 = 4812\u00d74=48.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtraction: 48\u22127=4148 &#8211; 7 = 4148\u22127=41.<\/span><\/li><\/ol><p><b>Answer:<\/b><span style=\"font-weight: 400;\"> 41<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-84bfc3c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"84bfc3c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b2f16e6\" data-id=\"b2f16e6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13987a3 elementor-widget elementor-widget-text-editor\" data-id=\"13987a3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2><b>Conclusion<\/b><\/h2>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-d41b7cb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d41b7cb\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-af52b43\" data-id=\"af52b43\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d72b455 elementor-widget elementor-widget-text-editor\" data-id=\"d72b455\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><span style=\"font-weight: 400;\">Understanding order of operations in maths is akin to learning to play a game. Having understood the right steps\u2013Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)-math problems can now be solved accurately and also timely. One can not forget to use the name given to the steps itself \u2013PEMDAS. With practice, you will be confident and ready to face even the toughest math problems! So, keep practicing and let the order of operations guide you to success!<\/span><\/p><p style=\"text-align: left;\"><span style=\"font-weight: 400;\">You can opt for our<\/span><a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\"> <span style=\"font-weight: 400;\">Advanced Math<\/span><\/a><span style=\"font-weight: 400;\"> or Vedic Math+Mental Math courses. Our<\/span><a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\"> <span style=\"font-weight: 400;\">Math Quiz<\/span><\/a><span style=\"font-weight: 400;\"> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-77af0ce elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"77af0ce\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fe88c0f\" data-id=\"fe88c0f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-874e801 elementor-widget elementor-widget-text-editor\" data-id=\"874e801\" data-element_type=\"widget\" id=\"6\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2 style=\"text-align: center;\"><b>Frequently Asked Questions About PEMDAS<\/b><\/h2>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-fd0b4fd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fd0b4fd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d639a6d\" data-id=\"d639a6d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8a5c59c elementor-widget elementor-widget-toggle\" data-id=\"8a5c59c\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1451\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1451\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">1. What happens if parentheses are nested?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1451\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1451\"><p><span style=\"font-weight: 400;\">Always work on the innermost parentheses first and gradually solve outward.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 6\u00f7[3+(2\u00d74)]6 \\div [3 + (2 \\times 4)]6\u00f7[3+(2\u00d74)].<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Innermost Parentheses: 2\u00d74=82 \\times 4 = 82\u00d74=8.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Outer Parentheses: 3+8=113 + 8 = 113+8=11.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Division: 6\u00f711\u22480.556 \\div 11 \\approx 0.556\u00f711\u22480.55.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1452\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1452\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">2. How do BODMAS and PEDMAS differ?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1452\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1452\"><p><span style=\"font-weight: 400;\">They are variations of the same rule.<\/span><\/p><p><b>BODMAS<\/b><span style=\"font-weight: 400;\">: Brackets, Orders, Division\/Multiplication, Addition\/Subtraction.<\/span><\/p><p><b>PEMDAS<\/b><span style=\"font-weight: 400;\">: Parentheses, Exponents, Multiplication\/Division, Addition\/Subtraction.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1453\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-1453\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">3. What if there are multiple levels of parentheses?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1453\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-1453\"><p><span style=\"font-weight: 400;\">Solve the innermost parentheses first and move outward.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve [(5+3)\u00d72]+(6\u00f73)[(5 + 3) \\times 2] + (6 \\div 3)[(5+3)\u00d72]+(6\u00f73):<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Innermost: 5+3=85 + 3 = 85+3=8, 6\u00f73=26 \\div 3 = 26\u00f73=2.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Next: 8\u00d72=168 \\times 2 = 168\u00d72=16.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Final: 16+2=1816 + 2 = 1816+2=18.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1454\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-1454\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">4. Do multiplication and division always come before addition and subtraction?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1454\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-1454\"><p><span style=\"font-weight: 400;\">Yes, multiplication and division take precedence over addition and subtraction. However, if multiplication\/division or addition\/subtraction appear together, solve them from left to right.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1455\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-1455\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">5. What if an expression has variables in it?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1455\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-1455\"><p><span style=\"font-weight: 400;\">Substitute the values of the variables first, then follow PEMDAS.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 3x+2y3x + 2y3x+2y when x=4x = 4x=4 and y=5y = 5y=5:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Substitute: 3(4)+2(5)3(4) + 2(5)3(4)+2(5).<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply: 12+1012 + 1012+10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: 222222.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1456\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-1456\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">6. Can you use PEMDAS in fractions?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1456\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-1456\"><p><span style=\"font-weight: 400;\">PEMDAS applies to fractions. Simplify the numerator and denominator separately before dividing.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Simplify (6+4)\u00f7(8\u22122)(6 + 4) \\div (8 &#8211; 2)(6+4)\u00f7(8\u22122):<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Numerator: 6+4=106 + 4 = 106+4=10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Denominator: 8\u22122=68 &#8211; 2 = 68\u22122=6.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Divide: 10\u00f76=5\/310 \\div 6 = 5\/310\u00f76=5\/3<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1457\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-1457\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">7. What is the difference of PEMDAS from GEMDAS?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1457\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-1457\"><p><span style=\"font-weight: 400;\">The difference is in terminology. GEMDAS replaces &#8220;Parentheses&#8221; with &#8220;Grouping Symbols,&#8221; which encompasses a broader range of symbols such as brackets, braces, and fraction bars.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1458\" class=\"elementor-tab-title\" data-tab=\"8\" role=\"button\" aria-controls=\"elementor-tab-content-1458\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">8. How do you handle expressions with a fraction bar (division line)?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1458\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"8\" role=\"region\" aria-labelledby=\"elementor-tab-title-1458\"><p><span style=\"font-weight: 400;\">Treat the fraction bar as a grouping symbol. Solve the numerator and denominator separately, then divide.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Simplify 8+24\u00d72\\frac{8 + 2}{4 \\times 2}4\u00d728+2\u200b:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Numerator: 8+2=108 + 2 = 108+2=10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Denominator: 4\u00d72=84 \\times 2 = 84\u00d72=8.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Fraction: 10\/8=5\/410\/8 = 5\/410\/8=5\/4.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1459\" class=\"elementor-tab-title\" data-tab=\"9\" role=\"button\" aria-controls=\"elementor-tab-content-1459\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">9. What is the role of exponents in PEMDAS?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1459\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"9\" role=\"region\" aria-labelledby=\"elementor-tab-title-1459\"><p><span style=\"font-weight: 400;\">Exponents follow parentheses, which are the highest priority, and come ahead of all other operations multiplication, division, addition, or subtraction. Simplify any exponents before moving to the operations.<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Simplify 3+233 + 2^33+23:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Exponent: 23=82^3 = 823=8.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add: 3+8=113 + 8 = 113+8=11.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-14510\" class=\"elementor-tab-title\" data-tab=\"10\" role=\"button\" aria-controls=\"elementor-tab-content-14510\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">10. How do you simplify expressions with nested exponents?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-14510\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"10\" role=\"region\" aria-labelledby=\"elementor-tab-title-14510\"><p><span style=\"font-weight: 400;\">Begin with the innermost exponent and work outwards<\/span><\/p><p><b>Example:<\/b><b><br \/><\/b><span style=\"font-weight: 400;\">Solve 2322^{3^2}232:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Simplify the inner exponent: 32=93^2 = 932=9.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Calculate the outer exponent: 29=5122^9 = 51229=512.<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The Order of Operations in Math \u2014 A Kid-Friendly Guide Understanding the order of operations is very important in mathematics if you have to solve equations correctly. Without these, calculations could get complex and lead to getting the wrong answer. Perhaps you have an exam tomorrow or next week, and you wish to refresh your [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":34369,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[969,985],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/34367"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=34367"}],"version-history":[{"count":8,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/34367\/revisions"}],"predecessor-version":[{"id":34380,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/34367\/revisions\/34380"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/34369"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=34367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=34367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=34367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}