{"id":16,"date":"2022-04-13T06:07:10","date_gmt":"2022-04-13T06:07:10","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=16"},"modified":"2025-08-04T06:20:26","modified_gmt":"2025-08-04T06:20:26","slug":"a-3-number-lines","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/a-3-number-lines\/","title":{"rendered":"A.3 Number lines"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-large-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Number lines<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/08\/video-255013-2.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/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>Introduction to Number Lines:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Definition:<\/strong> A number line is a visual representation of numbers on a straight line, where each point on the line corresponds to a number.<\/li>\n\n\n\n<li><strong>Purpose:<\/strong> Helps visualize the relationships between numbers, perform arithmetic operations, and understand concepts of magnitude and direction.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1024x320.png\" alt=\"\" class=\"wp-image-14309\" style=\"width:519px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1024x320.png 1024w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-300x94.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-768x240.png 768w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1536x480.png 1536w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2048x640.png 2048w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1568x490.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\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>Basic Structure of a Number Line:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Zero Point:<\/strong> The center of the number line is typically zero.<\/li>\n\n\n\n<li><strong>Positive and Negative Numbers:<\/strong> Numbers increase to the right of zero and decrease to the left.<\/li>\n\n\n\n<li><strong>Equal Intervals:<\/strong> The distance between consecutive points (numbers) is equal.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"300\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines.gif\" alt=\"\" class=\"wp-image-14310\" style=\"width:492px;height:auto\"\/><\/figure>\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 has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Types of Numbers on the Number Line<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Description<\/th><th>Example<\/th><\/tr><\/thead><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Integers<\/strong><\/td><td>Whole numbers and their negatives<\/td><td>-3, 0, 4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Fractions<\/strong><\/td><td>Numbers between integers<\/td><td>\u00bd, -\u00be<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Decimals<\/strong><\/td><td>Fractions in decimal form<\/td><td>0.2, -1.5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Rational<\/strong><\/td><td>Numbers that can be expressed as a fraction<\/td><td>\u2154, -0.75, 5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Irrational<\/strong><\/td><td>Non-repeating, non-terminating decimals<\/td><td>\u221a2, \u03c0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\ud83e\uddee <strong>Note:<\/strong> Even irrational numbers can be approximately located on a number line.<\/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><strong><strong>Inequalities on a Number Line<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th>Symbol<\/th><th>Meaning<\/th><th>Example<\/th><\/tr><\/thead><tbody><tr><td>&gt;<\/td><td>Greater than<\/td><td>x &gt; 2<\/td><\/tr><tr><td>&lt;<\/td><td>Less than<\/td><td>x &lt; -1<\/td><\/tr><tr><td>\u2265<\/td><td>Greater or equal<\/td><td>x \u2265 0<\/td><\/tr><tr><td>\u2264<\/td><td>Less or equal<\/td><td>x \u2264 5<\/td><\/tr><\/tbody><\/table><\/figure>\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><strong><strong>Plotting Inequalities:<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Use a <strong>filled circle<\/strong> for \u2264 or \u2265.<\/li>\n\n\n\n<li>Use an <strong>open circle<\/strong> for &lt; or &gt;.<\/li>\n\n\n\n<li>Shade the side that shows the possible values.<\/li>\n<\/ul>\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><strong><strong>Distance on a Number Line<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Distance between two numbers is the <strong>absolute value of their difference<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Formula:<\/strong> Distance=\u2223a\u2212b\u2223\\text{Distance} = |a &#8211; b|Distance=\u2223a\u2212b\u2223<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example:<\/strong><br>Distance between -3 and 4: \u2223\u22123\u22124\u2223=\u2223\u22127\u2223=7| -3 &#8211; 4 | = |-7| = 7\u2223\u22123\u22124\u2223=\u2223\u22127\u2223=7<\/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><strong>Plotting Points:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Positive Numbers:<\/strong> Plot points to the right of zero.<\/li>\n\n\n\n<li><strong>Negative Numbers:<\/strong> Plot points to the left of zero.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> Plot points like -3, 0, and 5 on a number line.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"300\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1.gif\" alt=\"\" class=\"wp-image-14312\" style=\"width:483px;height:auto\"\/><\/figure>\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>Operations with Number Lines:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Addition:<\/strong> Move to the right to add. For example, to add 3 + 2, start at 3 and move 2 units to the right to reach 5.<\/li>\n\n\n\n<li><strong>Subtraction:<\/strong> Move to the left to subtract. For example, to subtract 4 &#8211; 2, start at 4 and move 2 units to the left to reach 2.<\/li>\n\n\n\n<li><strong>Adding and Subtracting Negative Numbers:<\/strong> Moving left or right depending on the operation&#8217;s sign.<\/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>Understanding Fractions and Decimals:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Fractions:<\/strong> Plot fractions between whole numbers. For example, 1\/2 is halfway between 0 and 1.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-1024x320.png\" alt=\"\" class=\"wp-image-14314\" style=\"width:494px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-1024x320.png 1024w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-300x94.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-768x240.png 768w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-1536x480.png 1536w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-2048x640.png 2048w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-1-1568x490.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Decimals:<\/strong> Plot decimals in the same manner. For example, 0.75 is between 0.7 and 0.8.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-1024x320.png\" alt=\"\" class=\"wp-image-14316\" style=\"width:502px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-1024x320.png 1024w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-300x94.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-768x240.png 768w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-1536x480.png 1536w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-2048x640.png 2048w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-2-1568x490.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\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>Comparing and Ordering Numbers:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Comparison:<\/strong> Determine which numbers are greater or smaller by their position on the number line.<\/li>\n\n\n\n<li><strong>Ordering:<\/strong> Arrange numbers from smallest to largest by their relative positions.<\/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>Absolute Value:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Definition:<\/strong> The absolute value of a number is its distance from zero on the number line, regardless of direction.<\/li>\n\n\n\n<li><strong>Notation:<\/strong> Denoted as \u2223x\u2223.<\/li>\n\n\n\n<li><strong>Example:<\/strong> \u2223\u22127\u2223=7 because -7 is 7 units away from zero.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-dots\"\/>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-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:#abd7fa\"><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\" style=\"color:#b00012\"><strong>\ud83c\udfaf Type the missing 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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-5.png\" alt=\"\" class=\"wp-image-7046\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-5.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-5-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Each interval represents 1, so find the missing number by adding or subtracting 1.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The missing number is smaller than&nbsp;<sup>\u2013<\/sup>10, so subtract 1. Since&nbsp;<sup>\u2013<\/sup>10 \u2212 1 =&nbsp;<sup>\u2013<\/sup>11, the missing number is&nbsp;<sup>\u2013<\/sup>11.<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview.png\" alt=\"\" class=\"wp-image-7047\" style=\"width:506px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#ddb4ff\"><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\" style=\"color:#b00012\"><strong>\ud83c\udfaf Type the missing number.<\/strong><\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design.png\" alt=\"\" class=\"wp-image-7050\" style=\"width:446px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Each interval represents 1, so find the missing number by adding or subtracting 1.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The missing number is smaller than&nbsp;<sup>\u2013<\/sup>4, so subtract 1. <\/p>\n\n\n\n<p class=\"has-normal-font-size\">Since&nbsp;<sup>\u2013<\/sup>4 \u2212 1 =<sup>\u2013<\/sup>5, the missing number is&nbsp;<sup>\u2013<\/sup>5.<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview.png\" alt=\"\" class=\"wp-image-7051\" style=\"width:513px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#caf6b2\"><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 has-normal-font-size\" style=\"color:#b00012\"><strong>\ud83c\udfaf Type the missing number.<\/strong><\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2.png\" alt=\"\" class=\"wp-image-7052\" style=\"width:427px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Each interval represents 1, so find the missing number by adding or subtracting 1.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The missing number is larger than&nbsp;<sup>\u2013<\/sup>58, so add 1. Since&nbsp;<sup>\u2013<\/sup>58 + 1 =&nbsp;<sup>\u2013<\/sup>57, the missing number is&nbsp;<sup>\u2013<\/sup>57.<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview.png\" alt=\"\" class=\"wp-image-7053\" style=\"width:499px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#dcd1f6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-background-background-color has-background has-normal-font-size\"><strong>Example Problems<\/strong><\/h3>\n\n\n\n<div class=\"wp-block-group\"><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<h4 class=\"wp-block-heading\">\u2705 Plot the following on a number line:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>-3, 0, 1.5, \u00be, -2.2<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u2705 Solve using number lines:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>-4 + 5 = ?<\/li>\n\n\n\n<li>2 \u2212 6 = ?<\/li>\n\n\n\n<li>Distance between -5 and 3 = ?<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u2705 Graph the inequality:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x &gt; -1<\/li>\n\n\n\n<li>x \u2264 4<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\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>Plot: -5, -2.5, 0, 2, 3.5 on a number line.<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Use a number line to solve:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li> -6 + 2<\/li>\n\n\n\n<li> 3 &#8211; 7<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><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>Graph:<\/p>\n\n\n\n<p>a) x \u2264 1<\/p>\n\n\n\n<p>b) x &gt; -4<\/p>\n<\/div><\/div>\n<\/div><\/div>\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\/75714\/232\/115\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-3.png\" alt=\"\" class=\"wp-image-7083\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-3-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-3-150x150.png 150w\" 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\/75571\/188\/489\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-3.png\" alt=\"\" class=\"wp-image-7084\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-3-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Number lines key notes : Introduction to Number Lines: Basic Structure of a Number Line: Types of Numbers on the Number Line Type Description Example Integers Whole numbers and their negatives -3, 0, 4 Fractions Numbers between integers \u00bd, -\u00be Decimals Fractions in decimal form 0.2, -1.5 Rational Numbers that can be expressed as a<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/a-3-number-lines\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.3 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-16","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":32,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/16\/revisions"}],"predecessor-version":[{"id":17242,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/16\/revisions\/17242"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}