{"id":160,"date":"2022-04-12T09:44:06","date_gmt":"2022-04-12T09:44:06","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=160"},"modified":"2025-12-03T11:25:29","modified_gmt":"2025-12-03T11:25:29","slug":"h-1-identify-rational-numbers","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/h-1-identify-rational-numbers\/","title":{"rendered":"H.1 Identify rational numbers"},"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>Identify rational numbers<\/strong><\/h2>\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<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>What is a Rational Number?<\/strong><\/h3>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be written in the form <strong>a\/b<\/strong>, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>a<\/strong> = integer<\/li>\n\n\n\n<li><strong>b<\/strong> = integer (but <strong>not zero<\/strong>)<br>\ud83d\udc49 Example: 3\/4, \u22125\/2, 7, 0<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\uddee <strong>Integers are Rational Numbers<\/strong><\/h3>\n\n\n\n<p>All integers like <strong>\u22123, 0, 12<\/strong> can be written as a fraction:<br>-3 = -3\/1<br>12 = 12\/1<br>\u2728 So, <strong>all integers are rational numbers<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udca1 <strong>Decimals can be Rational Numbers<\/strong><\/h3>\n\n\n\n<p>Decimals that are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Terminating (end after few digits)<\/strong> like 2.5, 6.75<\/li>\n\n\n\n<li><strong>Repeating<\/strong> like 0.333\u2026<br>\ud83d\udc49 These can be converted into fractions, so they are <strong>rational numbers<\/strong> \u2728<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udeab <strong>What is NOT a Rational Number?<\/strong><\/h3>\n\n\n\n<p>Numbers that <strong>cannot be written as a fraction<\/strong> are <strong>irrational numbers<\/strong>:<br>\u274c \u221a2<br>\u274c \u03c0<br>\u274c 0.101001000\u2026 (non-repeating, non-terminating decimal)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\uddc0 <strong>Rational Numbers on a Number Line<\/strong><\/h3>\n\n\n\n<p>Rational numbers can be <strong>placed on the number line<\/strong> just like whole numbers.<br>\ud83d\udc49 Example: 1\/2 lies between 0 and 1.<br>\ud83d\udccd Every rational number has a <strong>exact position<\/strong> on the number line.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Rational Numbers Include:<\/strong><\/h3>\n\n\n\n<p>\u2714 Positive numbers<br>\u2714 Negative numbers<br>\u2714 Zero<br>\u2714 Fractions<br>\u2714 Decimals (terminating\/repeating)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd0d <strong>Quick Test to Identify a Rational Number<\/strong><\/h3>\n\n\n\n<p>Ask:<br>\ud83d\udc49 <strong>Can I write it as a\/b?<\/strong><br>If <strong>yes<\/strong> \u2192 Rational number \ud83d\ude0a<br>If <strong>no<\/strong> \u2192 Irrational number \ud83d\udeab<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf08 <strong>Examples of Rational Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 = 4\/1<\/li>\n\n\n\n<li>\u22127\/9<\/li>\n\n\n\n<li>0.75 = 3\/4<\/li>\n\n\n\n<li>0 = 0\/1<\/li>\n\n\n\n<li>2.222\u2026 = 2 2\/9<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf89 <strong>Fun Fact!<\/strong><\/h3>\n\n\n\n<p>Every rational number has <strong>many equivalent forms<\/strong>.<br>Example:<br>1\/2 = 2\/4 = 3\/6 = 50\/100 \ud83c\udf1f<\/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-background has-large-font-size\" style=\"background-color:#f6d7ed\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\uddfc<strong>Is \u20132 a rational number?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no  <\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>-2 can be written as -2\/1, which is a fraction. So, -2 is a rational number<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#facccf\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\uddfc <strong>Is \u201310 a rational number?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>-10 can be written as -10\/1, which is a fraction. So, -10 is a rational number<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3ddc9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\uddfc<strong> Is 5 a rational number?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"123\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__3_-removebg-preview-1-1024x123.png\" alt=\"\" class=\"wp-image-3271\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__3_-removebg-preview-1-1024x123.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__3_-removebg-preview-1-300x36.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__3_-removebg-preview-1-768x92.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__3_-removebg-preview-1.png 1443w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>5 can be written as 5\/1, which is a fraction. So, 5 is a rational 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!\ud83d\udd8a\ufe0f <\/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\/81187\/662\/574\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-266.png\" alt=\"\" class=\"wp-image-7411\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-266.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-266-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-266-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-266-400x400.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\/81266\/662\/682\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-274.png\" alt=\"\" class=\"wp-image-7412\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-274.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-274-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-274-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-274-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify rational numbers Key notes: \ud83d\udd22 What is a Rational Number? A rational number is any number that can be written in the form a\/b, where: \ud83e\uddee Integers are Rational Numbers All integers like \u22123, 0, 12 can be written as a fraction:-3 = -3\/112 = 12\/1\u2728 So, all integers are rational numbers. \ud83d\udca1 Decimals<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/h-1-identify-rational-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.1 Identify 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,"footnotes":""},"class_list":["post-160","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=160"}],"version-history":[{"count":13,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/160\/revisions"}],"predecessor-version":[{"id":17613,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/160\/revisions\/17613"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}