{"id":4595,"date":"2022-01-30T10:41:33","date_gmt":"2022-01-30T10:41:33","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4595"},"modified":"2022-03-02T18:40:09","modified_gmt":"2022-03-02T18:40:09","slug":"order-of-operations","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/order-of-operations\/","title":{"rendered":"Order of Operations"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Order of Operations<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The order of operations is a set of rules that is to be followed in a particular sequence while solving an expression. In mathematics with the word operations we mean, the process of evaluating any mathematical expression, involving arithmetic operations such as division, multiplication, addition, and subtraction.<\/p>\n<p>The order of Operations is the rule in math that states we evaluate the parentheses\/brackets first, the exponents\/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (\u00f7), and multiplication (\u00d7).<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/order-of-operations\"><img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 11px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637842423555.svg\" width=\"346\" height=\"169\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]While performing any sort of an operation on the respective numbers present in the expression we will follow the given basic rules in the particular sequence.<\/p>\n<p>1. Observe the expression. The first rule is to solve the numbers present inside the parentheses or brackets. We solve inside to out grouping operations. Note the pattern of brackets present in the expression, there is a particular order to solve the parentheses, i.e., [ { ( ) } ]. First, solve the round brackets ( ) \u2192 curly brackets { } \u2192 box brackets [ ]. Inside the parentheses the order of operations are to be followed.<br \/>\n2. After solving the numbers in the parentheses, look for any term present in the form of exponents and solve it.<br \/>\n3. Now we are left with the basic four operators. Look for the numbers with the operation of multiplication or division, solve them from left to right.<br \/>\n4. Lastly, look for the terms with addition or subtraction and solve them from left to right.<\/p>\n<p>These rules have a specific acronym name. We call them PEMDAS or BODMAS.<\/p>\n<p><strong>Order of Operations PEMDAS<\/strong><br \/>\n<strong>P<\/strong> stands for Parentheses ( ), { }, [ ]\n<strong>E<\/strong> stands for Exponents (a<sup>2<\/sup>) (For example, here, a is a number with exponent 2)<br \/>\n<strong>M<\/strong> stands for Multiplication (\u00d7)<br \/>\n<strong>D<\/strong> stands for Division (\u00f7)<br \/>\n<strong>A<\/strong> stands for Addition (+)<br \/>\n<strong>S<\/strong> stands for Subtraction (-)<\/p>\n<p><strong>Order of Operations BODMAS<\/strong><br \/>\n<strong>B<\/strong> stands for Brackets ( ), { }, [ ]\n<strong>O<\/strong> stands for Order<br \/>\n<strong>D<\/strong> stands for Division (\u00f7)<br \/>\n<strong>M<\/strong> stands for Multiplication (\u00d7)<br \/>\n<strong>A<\/strong> stands for Addition (+)<br \/>\n<strong>S<\/strong> stands for Subtraction (-)[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Evaluate.<br \/>\n<span style=\"color: #16a085;\"><strong>(3 + 7)<sup>2<\/sup> – 4 \u00d7 (2 + 3)<\/strong><\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. Start by solving problems in parentheses.<br \/>\n(3 + 7) = 10<br \/>\n(2 + 3) = 5<\/p>\n<p>This would result in: 10<sup>2<\/sup> – 4 x 5<\/p>\n<p>2. Next solve any exponents. 10<sup>2<\/sup> = 100<br \/>\n100 \u2013 4 x 5<\/p>\n<p>3. Now look for any multiplication or division to be solved. 4 x 5 = 20<br \/>\n100 \u2013 20<\/p>\n<p>4. Last do any addition or subtraction: 100 \u2013 20 = 80<\/p>\n<p>5. <strong>(3 + 7)<sup>2<\/sup> \u2013 4 x (2 + 3) = <span style=\"color: #ff0000;\">80<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Order of Operations[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Which operation should be performed second?<\/span><\/strong><br \/>\n20 \u00f7 4 + 10 – 2<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/order-of-operations\"><img loading=\"lazy\" class=\"alignnone wp-image-4600 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-3.png\" alt=\"Order of Operations - Practice Problem 1\" width=\"276\" height=\"120\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/order-of-operations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Evaluate.<\/span><\/strong><br \/>\n(50 – 10) \u00f7 4\u00a0\u00d7\u00a05<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/order-of-operations\"><img loading=\"lazy\" class=\"alignnone wp-image-2983 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-14.png\" alt=\"Order of Operations - Practice Problem 2\" width=\"109\" height=\"44\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/order-of-operations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Evaluate.<\/span><\/strong><br \/>\n(51 – 41)<sup>2<\/sup> \u00f7 9 \u00d7 3<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Order-of-Operations\"><img loading=\"lazy\" class=\"alignnone wp-image-2983 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-14.png\" alt=\"Order of Operations - Practice Problem 3\" width=\"109\" height=\"44\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Order-of-Operations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Zoey pays 18 dollars for materials to make bracelets. She makes 14 bracelets and sells 9 for 5 dollars and 5 for 3 dollars. How much profit does Zoey make?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Order-of-Operations\"><img loading=\"lazy\" class=\"alignnone wp-image-4602 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-3.png\" alt=\"Order of Operations - Practice Problem 4\" width=\"155\" height=\"43\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-3.png 155w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-3-150x43.png 150w\" sizes=\"(max-width: 155px) 100vw, 155px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Order-of-Operations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Order of operations<\/strong> – a set of basic rules of precedence we use while solving any mathematical expression, involving multiple operations.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/write-exponents\"><span style=\"color: #ed5600;\">Write Exponents<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/evaluate-exponents\"><span style=\"color: #ed5600;\">Evaluate exponents<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-variable-expressions-addition-and-subtraction\"><span style=\"color: #ed5600;\">Evaluate Variable Expressions-addition and subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/write-variable-expressions-word-problems\"><span style=\"color: #ed5600;\">Write Variable Expressions – Word Problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-expressions-multiplication-and-division\"><span style=\"color: #ed5600;\">Evaluate Expressions (Multiplication and Division)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/algebra-functions\"><span style=\"color: #ed5600;\">Algebra Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-addition-and-subtraction\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Addition and Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-multiplication-and-division\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Multiplication and Division<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635769211626{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-variables-and-expressions\"><span style=\"color: #333399;\">Algebra: Variables and Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-functions-6.1.8\"><span style=\"color: #333399;\">Algebra Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-solving-equations\"><span style=\"color: #333399;\">Algebra: Solving Equations<\/span><\/a><br \/>\n[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” 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url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Order of Operations [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The order of operations is a set of rules that is to be followed in a particular sequence while solving an expression. In mathematics with […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Order of Operations | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The order of operations is a set of rules that is to be followed in a particular sequence while solving an expression. 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