{"id":96,"date":"2022-04-12T09:32:36","date_gmt":"2022-04-12T09:32:36","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=96"},"modified":"2025-09-02T01:24:36","modified_gmt":"2025-09-02T01:24:36","slug":"e-11-evaluate-numerical-expressions-involving-decimals","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-11-evaluate-numerical-expressions-involving-decimals\/","title":{"rendered":"E.11 Evaluate numerical expressions involving decimals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Evaluate numerical expressions involving decimals<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwfqt7dyE\/6QlovowW50nVTyDtf-nZ6g\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwfqt7dyE&#x2F;6QlovowW50nVTyDtf-nZ6g&#x2F;watch?utm_content=DAGwfqt7dyE&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">E.11 Evaluate Numerical Expressions Involving\u00a0Decimals<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Understanding Decimals<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>A decimal represents a part of a whole number, positioned based on place values (tenths, hundredths, thousandths, etc.).<\/li>\n\n\n\n<li>Example: 0.5 means five-tenths, and 0.25 means twenty-five hundredths.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Order of Operations (PEMDAS\/BODMAS)<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Follow the correct sequence:<br><strong>P<\/strong> &#8211; Parentheses (Brackets)<br><strong>E<\/strong> &#8211; Exponents (Orders)<br><strong>MD<\/strong> &#8211; Multiplication and Division (left to right)<br><strong>AS<\/strong> &#8211; Addition and Subtraction (left to right)<\/li>\n\n\n\n<li>Example: (2.5 + 1.5) \u00d7 3 = 4 \u00d7 3 = 12<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Adding and Subtracting Decimals<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Align decimal points before performing the operation.<\/li>\n\n\n\n<li>Fill missing places with zeros for easy calculation.<\/li>\n\n\n\n<li>Example: 3.42 + 2.8 = 3.42 + 2.80 = 6.22<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Multiplying Decimals<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Ignore the decimal point and multiply as whole numbers.<\/li>\n\n\n\n<li>Count total decimal places in both numbers and adjust the final result accordingly.<\/li>\n\n\n\n<li>Example: 2.5 \u00d7 1.2 = 25 \u00d7 12 = 300, then place the decimal (2 places) \u2192 <strong>3.00<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Dividing Decimals<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>If the divisor is a decimal, shift the decimal point to make it a whole number and shift the dividend\u2019s decimal point accordingly.<\/li>\n\n\n\n<li>Perform long division as usual.<\/li>\n\n\n\n<li>Example: 4.8 \u00f7 1.2 = (48 \u00f7 12) = 4<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Using Estimation for Accuracy<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Round decimals to the nearest whole number or significant place before solving to check if the answer is reasonable.<\/li>\n\n\n\n<li>Example: Estimate 3.89 \u00d7 1.2 \u2248 4 \u00d7 1 = 4<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Applying Decimals in Real-Life Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Use decimal operations in money calculations, measurements, and scientific data.<\/li>\n\n\n\n<li>Example: A shirt costs $12.75, and you buy 3. Total cost = 12.75 \u00d7 3 = 38.25<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-6ab8afc29a8b85a9eb86fbde869602da\" style=\"background-color:#dad8ff\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>Evaluate the expression.<br>2 + 0.5 \u00d7 8<\/strong><br>Write your answer as an integer or a decimal. Do not round.________<\/p>\n\n\n\n<p>First, identify the operations in the expression.<br>2 + 0.5 \u00d7 8<br>This expression has addition and multiplication. The order of operations says to multiply before adding.<\/p>\n\n\n\n<p>2 + 0.5 \u00d7 8<\/p>\n\n\n\n<p>= 2 + 4<br>Now, add.<\/p>\n\n\n\n<p>2+4<\/p>\n\n\n\n<p>= 6<br>The value of the expression is 6.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-747b1b7187d3012fa01895b838c43c82\" style=\"background-color:#fdcaca\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>Evaluate the expression.<br>0.7 \u00f7 1 \u2013 0.6<\/strong><br>Write your answer as an integer or a decimal. Do not round._____<\/p>\n\n\n\n<p>First, identify the operations in the expression.<br>0.7 \u00f71 \u2013 0.6<br>This expression has division and subtraction. The order of operations says to divide before subtracting.<\/p>\n\n\n\n<p>0.7 \u00f7 1 \u2013 0.6<\/p>\n\n\n\n<p>= 0.7 \u2013 0.6<br>Now, subtract.<\/p>\n\n\n\n<p>0.7 \u2013 0.6<\/p>\n\n\n\n<p>= 0.1<br>The value of the expression is 0.1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-c970e2b9c67c315ab3eb57a545f95dc1\" style=\"background-color:#b6c1f0\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>Evaluate the expression.<br>0.3 \u2013 0.2 + 0.5<\/strong><br>Write your answer as an integer or a decimal. Do not round.<\/p>\n\n\n\n<p>First, identify the operations in the expression.<br>0.3 \u2013 0.2 + 0.5<br>This expression has subtraction and addition. The order of operations says to add and subtract from left to right.<\/p>\n\n\n\n<p>0.3 \u2013 0.2 + 0.5<\/p>\n\n\n\n<p>= 0.1 +0.5<\/p>\n\n\n\n<p>= 0.1 + 0.5<\/p>\n\n\n\n<p>= 0.6<br>The value of the expression is 0.6.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/80640\/947\/590\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250.png\" alt=\"\" class=\"wp-image-7339\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/84787\/629\/455\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253.png\" alt=\"\" class=\"wp-image-7340\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Evaluate numerical expressions involving decimals E.11 Evaluate Numerical Expressions Involving\u00a0Decimals by Delta publications Key Notes: Understanding Decimals Order of Operations (PEMDAS\/BODMAS) Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Using Estimation for Accuracy Applying Decimals in Real-Life Problems Learn with an example Evaluate the expression.2 + 0.5 \u00d7 8Write your answer as an integer or<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-11-evaluate-numerical-expressions-involving-decimals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.11 Evaluate numerical expressions involving decimals&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-96","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=96"}],"version-history":[{"count":30,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions"}],"predecessor-version":[{"id":16894,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions\/16894"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}