{"id":14,"date":"2022-04-13T06:06:53","date_gmt":"2022-04-13T06:06:53","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=14"},"modified":"2025-08-04T06:15:33","modified_gmt":"2025-08-04T06:15:33","slug":"a-2-compare-and-order-rational-numbers","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/a-2-compare-and-order-rational-numbers\/","title":{"rendered":"A.2 Compare and order rational numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Compare and order rational numbers<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/A.4-Compare-and-order-rational-numbers.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>Understand Rational Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Rational numbers are numbers that can be expressed as a fraction a\/b \u200b, where a and b are integers, and b\u22600.<\/li>\n\n\n\n<li>They include integers, fractions, and decimals that either terminate or repeat.<\/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>Convert to a Common Form<\/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> Ensure all fractions have a common denominator to compare them easily. Find the least common multiple (LCM) of the denominators, convert each fraction, and then compare the numerators.<\/li>\n\n\n\n<li><strong>Decimals:<\/strong> Convert decimals to fractions if necessary, or compare them directly by looking at their digits. For example, 0.75 is greater than 0.5 because 0.75 has more value.<\/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>Compare Fractions<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Find a Common Denominator:<\/strong> Convert fractions to have the same denominator.<\/li>\n\n\n\n<li><strong>Compare Numerators:<\/strong> Once fractions have the same denominator, compare the numerators. The fraction with the larger numerator is greater.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">Example:<\/p>\n\n\n\n<p class=\"has-large-font-size\"><sup>2<\/sup>\u2044<sub>5 and <\/sub><sup>3<\/sup>\u2044<sub>7   <\/sub><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>LCM of 5 and 7 is 35.<\/li>\n\n\n\n<li><sup>2<\/sup>\u2044<sub>5<\/sub> = <sup>14<\/sup>\u2044<sub>35<\/sub><\/li>\n\n\n\n<li><sup>3<\/sup>\u2044<sub>7<\/sub> = <sup>15<\/sup>\u2044<sub>35<\/sub><\/li>\n\n\n\n<li><sup>14<\/sup>\u2044<sub>35<\/sub> &lt; <sup>15<\/sup>\u2044<sub>35<\/sub> so<strong> <sup>2<\/sup>\u2044<sub>5<\/sub> &lt;<sup>3<\/sup>\u2044<sub>7<\/sub>.<\/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>Compare Decimals<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\"><strong>Align Decimal Points:<\/strong> Compare digits from left to right.<\/li>\n\n\n\n<li class=\"has-normal-font-size\"><strong>Add Zeros if Necessary:<\/strong> Extend decimals with fewer digits by adding zeros to make them the same length.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">Example:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Compare 0.85 and 0.8.<\/li>\n\n\n\n<li>0.85 is greater than 0.80 (adding a zero for comparison).<\/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>Order Rational Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\"><strong>List Rational Numbers:<\/strong> Once you have converted or compared them, list them in ascending or descending order based on their values.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">Example:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Rational numbers: <sup>3<\/sup>\u2044<sub>4<\/sub>, &#8211;<sup>1<\/sup>\u2044<sub>2, <\/sub><sup>5<\/sup>\u2044<sub>6.<\/sub><\/li>\n\n\n\n<li>Convert to decimals: 0.75, -0.5, 0.833<\/li>\n\n\n\n<li>Order: <strong>\u22120.5, 0.75, 0.833.<\/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>Practice Example<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\">Plot the rational numbers on a number line to visually compare and order them.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">Order the following rational numbers: <sup>1<\/sup>\u2044<sub>2<\/sub>, 0.4 , <sup>3<\/sup>\u2044<sub>4<\/sub><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Convert all to decimals: <sup>1<\/sup>\u2044<sub>2<\/sub> = 0.5; <sup>3<\/sup>\u2044<sub>4<\/sub> = 0.75.<\/li>\n\n\n\n<li>Compare decimals: 0.4, 0.5, 0.75.<\/li>\n\n\n\n<li>Order:<strong> 0.4 &lt; 0.5 &lt; 0.75.<\/strong><\/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-3-1024x320.png\" alt=\"\" class=\"wp-image-14324\" style=\"width:465px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3-1024x320.png 1024w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3-300x94.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3-768x240.png 768w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3-1536x480.png 1536w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3-1568x490.png 1568w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Number-Lines-3.png 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\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:#224203\"><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 Which sign makes the statement true?<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-normal-font-size\">11\/50 ? 1\/50<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">11\/50 is greater than 1\/50 , so:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">11\/50 &gt; 1\/50 .<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#023b22\"><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-normal-font-size\" style=\"color:#b00012\"><strong>\ud83c\udfaf Which sign makes the statement true?<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">39\/40 ? -1\/2<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">39\/40 is positive and -1\/2 is negative. A positive number is always greater than a negative number. So:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">39\/40 &gt; -1\/2 .<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#3c2002\"><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-normal-font-size\" style=\"color:#b00012\"><strong>\ud83c\udfaf Which sign makes the statement true?<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">1\/2 ? 3\/6<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">Simplify.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">1\/2 ? 3\/6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">1\/2 ? 1\/2<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-normal-font-size\">The fractions are the same. So:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-large-font-size\">1\/2 = 3\/6<\/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\/75708\/766\/837\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-4.png\" alt=\"\" class=\"wp-image-7086\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-4-150x150.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\/126\/558\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-4.png\" alt=\"\" class=\"wp-image-7087\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Compare and order rational numbers key notes : Understand Rational Numbers Convert to a Common Form Compare Fractions Example: 2\u20445 and 3\u20447 Compare Decimals Example: Order Rational Numbers Example: Practice Example Order the following rational numbers: 1\u20442, 0.4 , 3\u20444 Learn with an example \ud83c\udfaf Which sign makes the statement true? 11\/50 ? 1\/50 11\/50<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/a-2-compare-and-order-rational-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.2 Compare and order rational numbers&#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-14","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14","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=14"}],"version-history":[{"count":26,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":17240,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14\/revisions\/17240"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}