{"id":82,"date":"2022-04-12T09:30:22","date_gmt":"2022-04-12T09:30:22","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=82"},"modified":"2025-08-20T09:18:39","modified_gmt":"2025-08-20T09:18:39","slug":"e-4-multiply-decimals-and-whole-numbers-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-4-multiply-decimals-and-whole-numbers-word-problems\/","title":{"rendered":"E.4 Multiply decimals and whole numbers: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiply decimals and whole numbers: 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<\/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>Place values include tenths, hundredths, and thousandths.<\/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>Multiplication Basics<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>When multiplying a decimal by a whole number, ignore the decimal at first.<\/li>\n\n\n\n<li>Multiply as if dealing with whole numbers.<\/li>\n\n\n\n<li>Count the total decimal places in the original decimal number.<\/li>\n\n\n\n<li>Place the decimal in the product accordingly.<\/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>Word Problem Strategies<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Identify the given numbers<\/strong> (whole numbers and decimals).<\/li>\n\n\n\n<li><strong>Determine what operation is required<\/strong> (e.g., finding total cost, total distance, etc.).<\/li>\n\n\n\n<li><strong>Set up the multiplication equation<\/strong> based on the problem.<\/li>\n\n\n\n<li><strong>Perform the multiplication<\/strong> correctly.<\/li>\n\n\n\n<li><strong>Check for reasonableness<\/strong> (Does the answer make sense in context?).<\/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>Common Scenarios in Word Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Money-related problems<\/strong> (e.g., cost of multiple items).<\/li>\n\n\n\n<li><strong>Distance and speed problems<\/strong> (e.g., total distance traveled).<\/li>\n\n\n\n<li><strong>Measurement problems<\/strong> (e.g., calculating total weight, volume, or area).<\/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>Examples<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">A book costs <strong>$4.75<\/strong>. What is the total cost of <strong>6<\/strong> books?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Solution<\/strong>: 4.75\u00d76=28.50 \u2192 The total cost is <strong>$28.50<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">A runner jogs <strong>2.3 km<\/strong> every day. How far does she jog in <strong>8<\/strong> days?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Solution<\/strong>: 2.3 \u00d7 8 = 18.4 \u2192 She jogs <strong>18.4 km<\/strong> in total.<\/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>Common Mistakes to Avoid<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Misplacing the decimal in the final answer.<\/li>\n\n\n\n<li>Forgetting to align numbers correctly in multiplication.<\/li>\n\n\n\n<li>Ignoring units in word problems (e.g., dollars, meters).<\/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>Understanding Decimals<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Use <strong>estimation<\/strong> to verify if the answer is reasonable.<\/li>\n\n\n\n<li>Use a calculator for confirmation if needed.<\/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-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\" style=\"background-color:#f8bbbb\"><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>Each metal ball weighs 7.8 grams. How much do 3 metal balls weigh in all?<\/strong><\/p>\n\n\n\n<p>Multiply the weight of each metal ball by the number of balls.<\/p>\n\n\n\n<p>Multiply as you would multiply whole numbers.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">7.8 \u00d7&nbsp;3 = 234<\/p>\n\n\n\n<p>Count the number of decimal places in the factors. There is 1 decimal place in 7.8. Move the decimal point 1 place to the left in the answer.<\/p>\n\n\n\n<p>234.&nbsp;\u2192&nbsp;23.4<br>The 3 metal balls weigh <strong>23.4 <\/strong>grams in all.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#b9ccfd\"><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>Kamal&#8217;s science class places weights on a scale during an experiment. Each weight weighs 9.5 kilograms. If the class puts 9 weights on the scale at the same time, what will the scale read?<\/strong><\/p>\n\n\n\n<p>Multiply the weight of each weight by the number of weights.<\/p>\n\n\n\n<p>Multiply as you would multiply whole numbers.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">9.5<br><span style=\"text-decoration: underline;\">\u00d7 9<\/span><br>855<\/p>\n\n\n\n<p>Count the number of decimal places in the factors. There is 1 decimal place in 9.5. Move the decimal point 1 place to the left in the answer.<\/p>\n\n\n\n<ol start=\"855\" class=\"wp-block-list\">\n<li>\u2192 85.5<\/li>\n<\/ol>\n\n\n\n<p>The scale will read <strong>85.5 <\/strong>kilograms.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e6faa2\"><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> Each piece of cardboard is 0.5 centimetres thick. If Vivian stacks 9 pieces of cardboard on top of one another, how thick will the stack be?<\/strong><\/p>\n\n\n\n<p>Multiply the thickness of each piece of cardboard by the number of pieces in the stack.<\/p>\n\n\n\n<p>Multiply as you would multiply whole numbers.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">0.5<br><span style=\"text-decoration: underline;\">\u00d7 9<\/span><br>45<\/p>\n\n\n\n<p>Count the number of decimal places in the factors. There is 1 decimal place in 0.5. Move the decimal point 1 place to the left in the answer.<\/p>\n\n\n\n<ol start=\"45\" class=\"wp-block-list\">\n<li>\u2192 4.5<\/li>\n<\/ol>\n\n\n\n<p>The stack will be <strong>4.5 <\/strong>centimeters thick.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#ffef76\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-7.png\" alt=\"\" class=\"wp-image-8962\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-7.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-7-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-7-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-7-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1694063453758jka41sfy-voicemaker.in-speech-1.mp3\"><\/audio><\/figure>\n<\/div>\n<\/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\/80635\/984\/734\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-244.png\" alt=\"\" class=\"wp-image-7313\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-244.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-244-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-244-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-244-400x400.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\/84750\/435\/507\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-246.png\" alt=\"\" class=\"wp-image-7314\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-246.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-246-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-246-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-246-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply decimals and whole numbers: word problems key notes : Understanding Decimals Multiplication Basics Word Problem Strategies Common Scenarios in Word Problems Examples A book costs $4.75. What is the total cost of 6 books? A runner jogs 2.3 km every day. How far does she jog in 8 days? Common Mistakes to Avoid Understanding<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-4-multiply-decimals-and-whole-numbers-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.4 Multiply decimals and whole numbers: 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-82","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Multiply decimals and whole numbers: word problems key notes : Decimals represent fractions or parts of a whole. Place values include tenths, hundredths, and thousandths. 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