{"id":90,"date":"2022-04-12T09:31:39","date_gmt":"2022-04-12T09:31:39","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=90"},"modified":"2025-08-20T10:01:51","modified_gmt":"2025-08-20T10:01:51","slug":"e-8-add-subtract-multiply-and-divide-decimals-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-8-add-subtract-multiply-and-divide-decimals-word-problems\/","title":{"rendered":"E.8 Add, subtract, multiply and divide decimals: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add, subtract, multiply and divide decimals: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-0b7c76880a66787baa56e2714ae28a2d\" style=\"color:#74008b;text-transform:capitalize\"><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 in Word Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Decimals represent fractions or parts of a whole.<\/li>\n\n\n\n<li>Common real-life examples include money, measurements, and scientific data.<\/li>\n\n\n\n<li>Carefully read the problem to determine what operation is needed.<\/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>Addition of 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 adding.<\/li>\n\n\n\n<li>Add digits column by column, starting from the right.<\/li>\n\n\n\n<li>Place the decimal point in the sum directly below the other decimal points.<\/li>\n\n\n\n<li><strong>Example: <\/strong>A shopkeeper earns $12.75 in the morning and $8.50 in the afternoon. Total earnings?<br><strong>12.75 + 8.50 = 21.25<\/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>Subtraction of 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 subtracting.<\/li>\n\n\n\n<li>Borrow if necessary, just like with whole numbers.<\/li>\n\n\n\n<li><strong>Example<\/strong>: A rope is 5.6 meters long, and 3.45 meters is cut off. How much remains?<br><strong>5.60 &#8211; 3.45 = 2.15<\/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>Multiplication of 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 initially and multiply as whole numbers.<\/li>\n\n\n\n<li>Count the total decimal places in both numbers and place the decimal in the answer accordingly.<\/li>\n\n\n\n<li><strong>Example:<\/strong> A watermelon costs $2.45 per kg. Find the cost of 3.2 kg.<br><strong>2.45 \u00d7 3.2 = 7.84<\/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>Division of 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, move the decimal point to the right in both numbers until the divisor is a whole number.<\/li>\n\n\n\n<li>Divide as usual and place the decimal in the quotient.<\/li>\n\n\n\n<li><strong>Example: <\/strong>A 9.6L juice bottle is shared among 4 friends. How much does each get?<br><strong>9.6 \u00f7 4 = 2.4L<\/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>Real-Life Applications<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Money Problems<\/strong>: Buying and selling items, discounts, and taxes.<\/li>\n\n\n\n<li><strong>Measurement Problems<\/strong>: Length, weight, and capacity conversions.<\/li>\n\n\n\n<li><strong>Time Problems<\/strong>: Calculating duration, speed, and rates.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f9c6e5\"><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\">\u25b6\ufe0f A chef bought 94.84 kilograms of almonds and 6.1 kilograms of pecans. How many kilograms of nuts did the chef buy in all?<\/p>\n\n\n\n<p>Add the numbers of kilograms. Remember to line up the decimal points. You can write extra zeroes to make equivalent decimals.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>  9   4 .  8  4\n  <span style=\"text-decoration: underline;\">+   6 .  1  0<\/span>\n1 0   0 .  9  4\n<\/code><\/pre>\n\n\n\n<p>The chef bought <strong>100.94<\/strong> kilograms of nuts.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#cafcd6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-tertiary-background-color has-background\"><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\">\u25b6\ufe0f<strong> A land developer is splitting up 0.8 hectares of land to form 2 identical properties. What size will each property be?    <\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-background-background-color has-text-color has-background has-normal-font-size\">                  ________ hectares  <\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Divide until there is no remainder.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-7792\" style=\"width:226px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-normal-font-size\">Each property will be 0.4 hectares.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#fdc8c8\"><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 has-normal-font-size\" style=\"color:#b00012\">\u25b6\ufe0f <strong>A chef bought 68 kilograms of almonds and 0.33 kilograms of pecans. How many kilograms of nuts did the chef buy in all?<\/strong><\/p>\n\n\n\n<p>Add the numbers of kilograms. Remember to line up the decimal points. You can write extra zeroes to make equivalent decimals.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-5.png\" alt=\"\" class=\"wp-image-7793\" style=\"width:236px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-5.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-5-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-normal-font-size\">The chef bought 68.33 kilograms of nuts.<\/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<\/div><\/div>\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\/80638\/596\/105\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-248.png\" alt=\"\" class=\"wp-image-7329\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-248.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-248-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-248-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-248-400x400.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\/84758\/363\/840\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-250.png\" alt=\"\" class=\"wp-image-7330\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-250.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-250-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-250-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-250-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add, subtract, multiply and divide decimals: word problems key notes : Understanding Decimals in Word Problems Addition of Decimals Subtraction of Decimals Multiplication of Decimals Division of Decimals Real-Life Applications Learn with an example \u25b6\ufe0f A chef bought 94.84 kilograms of almonds and 6.1 kilograms of pecans. How many kilograms of nuts did the chef<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-8-add-subtract-multiply-and-divide-decimals-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.8 Add, subtract, multiply and divide decimals: word problems&#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-90","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90","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=90"}],"version-history":[{"count":26,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions"}],"predecessor-version":[{"id":16819,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions\/16819"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=90"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}