{"id":90,"date":"2022-04-08T04:48:11","date_gmt":"2022-04-08T04:48:11","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=90"},"modified":"2025-10-27T09:35:22","modified_gmt":"2025-10-27T09:35:22","slug":"e-9-decimal-number-lines","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/e-9-decimal-number-lines\/","title":{"rendered":"E.9 Decimal number lines"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" 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 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 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 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 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 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\/DAG2-WPO7cQ\/zvH2N9zGkez2VOYy3kDP-g\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAG2-WPO7cQ&#x2F;zvH2N9zGkez2VOYy3kDP-g&#x2F;watch?utm_content=DAG2-WPO7cQ&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Design<\/a> by Delta publications\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-34f0917a1a9382497d0edf51e639559b\" 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 Decimal Numbers<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Decimal numbers are numbers that have a whole number part and a fractional part, separated by a decimal point (e.g., 3.5, 0.75).<\/p>\n\n\n\n<p>The digits after the decimal point represent parts of a whole, with the place value decreasing by powers of 10 (tenths, hundredths, thousandths).<\/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>Decimal Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A decimal number line is a number line that includes both whole numbers and decimal values.<\/p>\n\n\n\n<p>It helps visualize the position of decimal numbers relative to whole numbers and other decimals.<\/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>Placing Decimals on a Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Start by drawing a number line with whole numbers at equal intervals.<\/p>\n\n\n\n<p>Divide the space between two whole numbers into equal parts (tenths, hundredths, etc.), depending on the decimal&#8217;s place value.<\/p>\n\n\n\n<p>For example, to plot 2.3, divide the space between 2 and 3 into 10 equal parts and count three parts over from 2.<\/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>Reading and Interpreting Decimals on a Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The position of a decimal on the number line corresponds to its value.<\/p>\n\n\n\n<p>Decimals are placed based on their value relative to the whole numbers on the number line.<\/p>\n\n\n\n<p>For example, 1.4 is placed closer to 1 than to 2, since it is slightly more than 1 but less than 2.<\/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>Adding and Subtracting Decimals Using a Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>To add decimals, move to the right on the number line.<\/p>\n\n\n\n<p>To subtract decimals, move to the left on the number line.<\/p>\n\n\n\n<p>The number of steps you move depends on the decimal place value.<\/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>Comparing Decimals Using a Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Decimals with larger values are placed farther to the right on the number line.<\/p>\n\n\n\n<p>Decimals with smaller values are placed farther to the left.<\/p>\n\n\n\n<p>By comparing their positions on the number line, you can determine which decimal is greater or smaller.<\/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>Examples<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Plotting 0.6 on the number line: Divide the space between 0 and 1 into 10 equal parts. The sixth mark represents 0.6.<\/p>\n\n\n\n<p>Plotting 2.75 on the number line: Divide the space between 2 and 3 into 100 equal parts (for hundredths). Count 75 parts over from 2 to get 2.75.<\/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>Decimal Place Value on a Number Line<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Tenths<\/strong>: The first place to the right of the decimal point (e.g., 0.1, 0.2, 0.3, etc.).<\/p>\n\n\n\n<p><strong>Hundredths<\/strong>: The second place to the right of the decimal point (e.g., 0.01, 0.02, 0.03, etc.).<\/p>\n\n\n\n<p><strong>Thousandths<\/strong>: The third place to the right of the decimal point (e.g., 0.001, 0.002, etc.).<\/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>Importance of Decimal Number Lines<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Decimal number lines help students visually understand the relationship between decimals and whole numbers.<\/p>\n\n\n\n<p>They enhance the ability to compare and order decimal numbers.<\/p>\n\n\n\n<p>Decimal number lines are useful for adding, subtracting, and estimating decimal numbers.<\/p>\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-b9133d251f7c8f272a39dd015ba9e8df\" style=\"background-color:#fbcbcb\"><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-e26a7fc97abfaa81a397cdc7c6efc833\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-eed249e813b9b3fb8ce8569519b0b35c\" style=\"color:#b00012\">\ud83d\udd14 Find the value of&nbsp;<em>r<\/em>. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-18c191a1a6ccb06401ce8ff83beefbd8\" style=\"color:#b00012\">Write your answer as a decimal number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-6848\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview-1.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><em>r<\/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>r<\/em>. There are 4 intervals.&nbsp;<em>r<\/em>&nbsp;is 0.4 greater than 0.<\/p>\n\n\n\n<p><em>r<\/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:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1.png\" alt=\"\" class=\"wp-image-6850\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1-300x45.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-a45be05885e656ba780254e14ecc4bf0\" style=\"background-color:#e9f8b9\"><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\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-edabcd114b40f6dd8c54d7f3131fe41c\" style=\"color:#b00012\">\ud83d\udd14 Find the value of&nbsp;<em>d<\/em>.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-caa017e775570857b0b38ee97dcd52bb\" style=\"color:#b00012\"> Write your answer as a decimal number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-6853\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-2.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><em>d<\/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>d<\/em>. There is 1 interval.&nbsp;<em>d<\/em>&nbsp;is 0.1 greater than 0.<\/p>\n\n\n\n<p><em>d<\/em>&nbsp;= 0.1<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-6855\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-2.png 670w, https:\/\/6thclass.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-10f2a7c6e01c55dfdec0c04ce4f1eaa5\" style=\"background-color:#f3c0e8\"><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\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-f789d25803018945a0fa3a96d1d0577a\" style=\"color:#b00012\">Find the value of&nbsp;<em>t<\/em>.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-caa017e775570857b0b38ee97dcd52bb\" style=\"color:#b00012\"> Write your answer as a decimal number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-15.png\" alt=\"\" class=\"wp-image-7063\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-15.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-15-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><em>t<\/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>t<\/em>. There are 4 intervals.&nbsp;<em>t<\/em>&nbsp;is 0.4 greater than 0.<\/p>\n\n\n\n<p><em>t<\/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:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__16_-removebg-preview.png\" alt=\"\" class=\"wp-image-7064\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__16_-removebg-preview.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__16_-removebg-preview-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>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\/35306\/289\/310\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-77.png\" alt=\"\" class=\"wp-image-6231\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-77.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-77-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-77-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-77-400x400.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\/84648\/344\/890\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-78.png\" alt=\"\" class=\"wp-image-6232\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-78.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-78-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-78-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-78-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Decimal number lines Design by Delta publications key notes: Understanding Decimal Numbers: Decimal numbers are numbers that have a whole number part and a fractional part, separated by a decimal point (e.g., 3.5, 0.75). The digits after the decimal point represent parts of a whole, with the place value decreasing by powers of 10 (tenths,<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/e-9-decimal-number-lines\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.9 Decimal number lines&#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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-90","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=90"}],"version-history":[{"count":24,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions"}],"predecessor-version":[{"id":17279,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions\/17279"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=90"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}