{"id":80,"date":"2022-04-12T09:30:01","date_gmt":"2022-04-12T09:30:01","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=80"},"modified":"2025-09-02T01:18:55","modified_gmt":"2025-09-02T01:18:55","slug":"e-3-multiply-decimals","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-3-multiply-decimals\/","title":{"rendered":"E.3 Multiply decimals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiply 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\/DAGwfuheY8A\/TjS-8enG9P38gHH9skEVfQ\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwfuheY8A&#x2F;TjS-8enG9P38gHH9skEVfQ&#x2F;watch?utm_content=DAGwfuheY8A&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">7th E.3 Multiply Decimals<\/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 is a number with a decimal point (e.g., 3.45, 0.78).<\/li>\n\n\n\n<li>The place values after the decimal are tenths, hundredths, thousandths, etc.<\/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> Steps for Multiplying Decimals<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list has-normal-font-size\">\n<li><strong>Ignore the decimal points<\/strong> and multiply the numbers as if they were whole numbers.<\/li>\n\n\n\n<li><strong>Count the total number of decimal places<\/strong> in both numbers.<\/li>\n\n\n\n<li><strong>Place the decimal<\/strong> in the product, ensuring it has the same number of decimal places as the total counted.<\/li>\n<\/ol>\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\"><strong>Example 1<\/strong>: 2.5\u00d71.2<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Multiply: 25\u00d712=300<\/li>\n\n\n\n<li>Total decimal places: <strong>2<\/strong><\/li>\n\n\n\n<li>Final answer: <strong>3.00 or 3<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 2<\/strong>: 0.04\u00d70.3<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Multiply: 4\u00d73=12<\/li>\n\n\n\n<li>Total decimal places: <strong>3<\/strong><\/li>\n\n\n\n<li>Final answer: <strong>0.012<\/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>Multiplying by Powers of 10<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Multiplying by <strong>10, 100, 1000<\/strong> shifts the decimal to the right.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3.45\u00d710=34.5<\/li>\n\n\n\n<li>3.45\u00d7100=345<\/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 Problems Example<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>A book costs $3.75. If you buy 4 books, what is the total cost?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3.75\u00d74=15.00<\/li>\n\n\n\n<li>Answer: <strong>$15.00<\/strong><\/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-background has-normal-font-size\" style=\"background-color:#f1defd\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-white-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Use the grid to fill in the missing number.<\/strong><\/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__8_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-7745\" style=\"width:286px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview-1-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-primary-color has-text-color has-normal-font-size\">0.9 \u00d7 0.8 =&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<p>9 columns are shaded. The columns represent 9 tenths, or 0.9.<\/p>\n\n\n\n<p>8 rows are shaded. The rows represent 8 tenths, or 0.8.<\/p>\n\n\n\n<p>72 squares are shaded in both colours. These squares represent 72 hundredths, or 0.72.<\/p>\n\n\n\n<p>The multiplication number sentence is:<\/p>\n\n\n\n<p>0.9 \u00d7 0.8 = 0.72<\/p>\n\n\n\n<p>0.72 is the missing number.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d1e3fc\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Use the grid to fill in the missing number.<\/strong><\/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__9_-removebg-preview.png\" alt=\"\" class=\"wp-image-7748\" style=\"width:268px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__9_-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__9_-removebg-preview-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__9_-removebg-preview-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__9_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-normal-font-size\">0.8 \u00d7&nbsp;___&nbsp;= 0.08<\/p>\n<\/div><\/div>\n\n\n\n<p>8 columns are shaded. The columns represent 8 tenths, or 0.8.<\/p>\n\n\n\n<p>1 row is shaded. The row represents 1 tenth, or 0.1.<\/p>\n\n\n\n<p>8 squares are shaded in both colours. These squares represent 8 hundredths, or 0.08.<\/p>\n\n\n\n<p>The multiplication number sentence is:<\/p>\n\n\n\n<p>0.8 \u00d7 0.1 = 0.08<\/p>\n\n\n\n<p class=\"has-normal-font-size\">0.1 is the missing number.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c4f8bf\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd25<strong>Use the grid to fill in the missing number.<\/strong><\/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\/07\/Untitled-design.png\" alt=\"\" class=\"wp-image-8629\" style=\"width:284px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>______ x 0.3 = 0.27<\/p>\n<\/div><\/div>\n\n\n\n<p>9 columns are shaded. The columns represent 9 tenths, or 0.9.<\/p>\n\n\n\n<p>3 rows are shaded. The rows represent 3 tenths, or 0.3.<\/p>\n\n\n\n<p>27 squares are shaded in both colours. These squares represent 27 hundredths, or 0.27.<\/p>\n\n\n\n<p>The multiplication number sentence is:<\/p>\n\n\n\n<p class=\"has-normal-font-size\">0.9 \u00d7 0.3 = 0.27<\/p>\n\n\n\n<p>0.9 is the missing number.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/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\/80629\/286\/407\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-243.png\" alt=\"\" class=\"wp-image-7309\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-243.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-243-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-243-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-243-400x400.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\/84749\/474\/743\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-245.png\" alt=\"\" class=\"wp-image-7311\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-245.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-245-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-245-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-245-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply decimals 7th E.3 Multiply Decimals by Delta publications Key Notes: Understanding Decimals Steps for Multiplying Decimals Examples Example 1: 2.5\u00d71.2 Example 2: 0.04\u00d70.3 Multiplying by Powers of 10 Multiplying by 10, 100, 1000 shifts the decimal to the right. Word Problems Example A book costs $3.75. If you buy 4 books, what is the<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-3-multiply-decimals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.3 Multiply 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-80","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 7th E.3 Multiply Decimals by Delta publications Key Notes: A decimal is a number with a decimal point (e.g., 3.45, 0.78). The place values after the decimal are tenths, hundredths, thousandths, etc. Ignore the decimal points and multiply the numbers as if they were whole numbers. 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