{"id":70,"date":"2022-04-12T09:27:55","date_gmt":"2022-04-12T09:27:55","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=70"},"modified":"2025-09-02T01:15:01","modified_gmt":"2025-09-02T01:15:01","slug":"d-3-decimal-number-lines","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/d-3-decimal-number-lines\/","title":{"rendered":"D.3 Decimal number lines"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Decimal number lines<\/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\/DAGwrxWkkLw\/Kke48TJURHQGWzOdTR_bug\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwrxWkkLw&#x2F;Kke48TJURHQGWzOdTR_bug&#x2F;watch?utm_content=DAGwrxWkkLw&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">7th D.3 Decimal Number Lines<\/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<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong> Introduction<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A <strong>decimal number line<\/strong> is a straight line where numbers are placed in order from smallest to largest.<br>It is divided into equal parts to show <strong>decimal values<\/strong> between whole numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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> Why Use a Decimal Number Line?<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>compare decimals<\/strong> easily.<\/li>\n\n\n\n<li>To <strong>understand place value<\/strong> visually.<\/li>\n\n\n\n<li>To <strong>plot decimal points<\/strong> correctly.<\/li>\n\n\n\n<li>To connect <strong>fractions and decimals<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Structure of a Decimal Number Line<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code>0    0.1   0.2   0.3   0.4   0.5   0.6   0.7   0.8   0.9    1\n|----|----|----|----|----|----|----|----|----|----|----|\n<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Whole numbers<\/strong> are placed at bigger marks.<\/li>\n\n\n\n<li><strong>Tenths (0.1)<\/strong> \u2192 Divide each whole number into 10 equal parts.<\/li>\n\n\n\n<li><strong>Hundredths (0.01)<\/strong> \u2192 Each tenth is further divided into 10 equal parts.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Steps to Plot a Decimal on a Number Line<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find the two whole numbers<\/strong> the decimal is between.<\/li>\n\n\n\n<li><strong>Divide<\/strong> the space between them into 10 parts for tenths or 100 parts for hundredths.<\/li>\n\n\n\n<li><strong>Count<\/strong> forward from the left whole number.<\/li>\n\n\n\n<li><strong>Mark<\/strong> the exact decimal value with a dot or arrow.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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><strong>Example 1:<\/strong> Plot <strong>3.4<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Between <strong>3<\/strong> and <strong>4<\/strong>.<\/li>\n\n\n\n<li>Divide into <strong>10 equal parts<\/strong> (tenths).<\/li>\n\n\n\n<li>Count 4 parts after 3 \u2192 <strong>3.4<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example 2:<\/strong> Plot <strong>2.35<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Between <strong>2.3<\/strong> and <strong>2.4<\/strong>.<\/li>\n\n\n\n<li>Divide into <strong>10 equal parts<\/strong> (hundredths).<\/li>\n\n\n\n<li>Count 5 parts after 2.3 \u2192 <strong>2.35<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Key Tips<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Moving <strong>right<\/strong> = value increases.<\/li>\n\n\n\n<li>Moving <strong>left<\/strong> = value decreases.<\/li>\n\n\n\n<li>Always check the <strong>scale<\/strong> before plotting.<\/li>\n\n\n\n<li>0.5 = \u00bd, 0.25 = \u00bc \u2192 use fraction knowledge to help.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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\">\n<li>Miscounting the small divisions.<\/li>\n\n\n\n<li>Forgetting to check whether divisions represent <strong>tenths<\/strong> or <strong>hundredths<\/strong>.<\/li>\n\n\n\n<li>Placing decimals in the wrong section between whole numbers.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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\">\n<li>Measuring <strong>length<\/strong> (2.5 m, 1.75 cm).<\/li>\n\n\n\n<li>Reading <strong>weight<\/strong> (1.2 kg, 0.85 g).<\/li>\n\n\n\n<li>Handling <strong>money<\/strong> (\u20b93.50, \u20b94.75).<\/li>\n\n\n\n<li>Reading <strong>temperature<\/strong> (37.5\u00b0C).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Practice Questions<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>A. Plot these on a number line:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>1.7<\/li>\n\n\n\n<li>0.25<\/li>\n\n\n\n<li>4.6<\/li>\n\n\n\n<li>2.05<\/li>\n<\/ol>\n\n\n\n<p><strong>B. Answer:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Which is greater: 3.45 or 3.5?<\/li>\n\n\n\n<li>Mark 0.42 on a number line between 0 and 1.<\/li>\n<\/ol>\n<\/div><\/div>\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-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-e422539c957856572e9ad519f66d6998\" style=\"background-color:#f7d2d2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-1ef350c85bc5e0e029bb3bebb55581fd\"><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\">\u27a1\ufe0f <strong>Find the value of&nbsp;<em>v<\/em>. Write your answer as a decimal number.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview.png\" alt=\"\" class=\"wp-image-7703\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__8_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><em>v<\/em>&nbsp;=&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<p>The number line goes from 0 to 1 with ten equal intervals. Each interval represents 0.1.<\/p>\n\n\n\n<p>Count the intervals from 0 to&nbsp;<em>v<\/em>. There are 4 intervals.&nbsp;<em>v<\/em>&nbsp;is 0.4 greater than 0.<\/p>\n\n\n\n<p><em>v<\/em>&nbsp;= 0.4<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-3.png\" alt=\"\" class=\"wp-image-7705\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-3.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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-78597b2b6e99df93605e2add0837b978\" style=\"background-color:#f8d3f9\"><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\">\u27a1\ufe0f <strong>Find the value of&nbsp;<em>j<\/em>. Write your answer as a decimal number.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1.png\" alt=\"\" class=\"wp-image-7706\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><em>j<\/em>&nbsp;=&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<p>The number line goes from 0 to 1 with ten equal intervals. Each interval represents 0.1.<\/p>\n\n\n\n<p>Count the intervals from 0 to&nbsp;<em>j<\/em>. There are 3 intervals.&nbsp;<em>j<\/em>&nbsp;is 0.3 greater than 0.<\/p>\n\n\n\n<p><em>j<\/em>&nbsp;= 0.3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-7707\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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-792729ebefe8e8a2a59318182e3cf86c\" style=\"background-color:#f1c0c0\"><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>Find the value of&nbsp;<em>v<\/em>. Write your answer as a decimal number.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2-1.png\" alt=\"\" class=\"wp-image-7928\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The number line goes from 0 to 1 with ten equal intervals. Each interval represents 0.1.<\/p>\n\n\n\n<p>Count the intervals from 0 to&nbsp;<em>v<\/em>. There are 9 intervals.&nbsp;<em>v<\/em>&nbsp;is 0.9 greater than 0.<\/p>\n\n\n\n<p><em>v<\/em>&nbsp;= 0.9<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-7929\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Try some practice problems!<\/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\/35306\/289\/365\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-230.png\" alt=\"\" class=\"wp-image-7266\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-230.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-230-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-230-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-230-400x400.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\/84474\/699\/463\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-232.png\" alt=\"\" class=\"wp-image-7268\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-232.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-232-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-232-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-232-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Decimal number lines 7th D.3 Decimal Number Lines by Delta publications Key Notes: Introduction A decimal number line is a straight line where numbers are placed in order from smallest to largest.It is divided into equal parts to show decimal values between whole numbers. 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