{"id":12,"date":"2022-04-13T06:06:38","date_gmt":"2022-04-13T06:06:38","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=12"},"modified":"2025-11-20T06:26:16","modified_gmt":"2025-11-20T06:26:16","slug":"a-1-classify-numbers","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/a-1-classify-numbers\/","title":{"rendered":"A.1 Classify 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>Classify 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.1-Classify-numbers.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-869a5c0b6b78055316c8d0186252dcbd\" style=\"color:#74008b\"><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>Classifying Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Classifying numbers involves understanding the different types of numbers and their properties. Here&#8217;s a breakdown of the main types of numbers and how to classify them:<\/p>\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>Natural Numbers<\/strong>(N)<\/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>Definition:<\/strong> Numbers that are used for counting and ordering. They start from 1 and go on infinitely.<\/li>\n\n\n\n<li class=\"has-normal-font-size\"><strong>Examples:<\/strong> 1, 2, 3, 4, 5, 6, 7, &#8230;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Natural numbers do not include zero or negative numbers.<\/p>\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>Whole Numbers<\/strong> (w)<\/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>Definition:<\/strong> Natural numbers plus zero.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> 0, 1, 2, 3, 4, 5, 6, &#8230;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Whole numbers include zero but not negative numbers or fractions.<\/p>\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>Integers<\/strong> (I)<\/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>Definition:<\/strong> All whole numbers and their negative counterparts.<\/li>\n\n\n\n<li class=\"has-normal-font-size\"><strong>Examples:<\/strong> -3, -2, -1, 0, 1, 2, 3, &#8230;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Integers include positive numbers, negative numbers, and zero.<\/p>\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>Rational Numbers<\/strong> (Q)<\/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>Definition:<\/strong> Numbers that can be expressed as a fraction where both the numerator and denominator are integers, and the denominator is not zero.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> 1\/2, -3\/4, 5, 0.75 (since 0.75 = 3\/4)<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> All integers, fractions, and finite or repeating decimals are rational numbers.<\/p>\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>Irrational Numbers<\/strong> (Q&#8217;)<\/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>Definition:<\/strong> Numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal parts.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> \u221a2, \u03c0 (pi), e<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Irrational numbers have infinite decimal expansions that do not repeat.<\/p>\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>Real Numbers<\/strong> (R)<\/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>Definition:<\/strong> All the numbers that can be found on the number line, including both rational and irrational numbers.<\/li>\n\n\n\n<li class=\"has-normal-font-size\"><strong>Examples:<\/strong> -2, 0, 3.14, \u221a5, \u03c0<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Real numbers include all rational and irrational numbers.<\/p>\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>Prime 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>Definition:<\/strong> Natural numbers greater than 1 that have exactly two distinct factors: 1 and themselves.<\/li>\n\n\n\n<li class=\"has-normal-font-size\"><strong>Examples:<\/strong> 2, 3, 5, 7, 11, 13<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> The number 2 is the only even prime number.<\/p>\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>Composite Numbers<\/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> Natural numbers greater than 1 that have more than two factors.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> 4, 6, 8, 9, 10, 12<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Composite numbers can be factored into smaller natural numbers.<\/p>\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>Even Numbers<\/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> Numbers divisible by 2.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> -4, 0, 2, 6, 8, 10<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Even numbers end in 0, 2, 4, 6, or 8.<\/p>\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>Odd Numbers<\/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> Numbers not divisible by 2.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> -3, 1, 5, 7, 9<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> Odd numbers end in 1, 3, 5, 7, or 9.<\/p>\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 distance of a number from zero on the number line, regardless of direction.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> |3| = 3, |-5| = 5<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Note:<\/strong> The absolute value of a number is always a non-negative number.<\/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>Learn with an example<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#b6f8c9\"><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 has-normal-font-size wp-elements-6ce9249b9d1b82944a56f5840d6a5813\" style=\"color:#d90000\">Is 5.666\u2026 a whole number?<\/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>Whole numbers are counting numbers and 0. So, 5.666\u2026 is not a whole number.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f5abf7\"><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-07b23ef438784de4711479b74b874bcb\" style=\"color:#d90000\">Which of the following describe 1\/9? Select all that apply.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>integer<\/li>\n\n\n\n<li>whole number<\/li>\n\n\n\n<li>rational number<\/li>\n\n\n\n<li>real number<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Whole numbers are counting numbers and 0. So, 1\/9 is not a whole number.<\/p>\n\n\n\n<p>Integers are counting numbers, their opposites, and 0. So, 1\/9 is not an integer.<\/p>\n\n\n\n<p>1\/9 is a fraction. So, 1\/9 is a rational number.<\/p>\n\n\n\n<p>Since real numbers include rational numbers, 1\/9 is also a real number.<\/p>\n\n\n\n<p>There are two correct answer choices. 1\/9 is a rational number and a real number.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f3a3cf\"><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-3507ae41b86db4a8b2f237a116fce5d9\" style=\"color:#d90000\">Which of the following describe 0? Select all that apply.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>integer<\/li>\n\n\n\n<li>whole number<\/li>\n\n\n\n<li>irrational number<\/li>\n\n\n\n<li>rational number<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Whole numbers are counting numbers and 0. So, 0 is a whole number<\/p>\n\n\n\n<p>Integers are counting numbers, their opposites, and 0. So, 0 is an integer.<\/p>\n\n\n\n<p>0 can be written as 0\/1 , which is a fraction. So, 0 is a rational number<\/p>\n\n\n\n<p>Since 0 is a rational number, it is not an irrational number.<\/p>\n\n\n\n<p>There are three correct answer choices. 0 is a whole number, an integer, and 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!<\/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\/95327\/024\/346\"><img decoding=\"async\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3.png\" alt=\"\" class=\"wp-image-8414\"\/><\/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\/102509\/526\/367\"><img decoding=\"async\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2.png\" alt=\"\" class=\"wp-image-8415\"\/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Classify numbers key notes : Classifying Numbers Classifying numbers involves understanding the different types of numbers and their properties. Here&#8217;s a breakdown of the main types of numbers and how to classify them: Natural Numbers(N) Note: Natural numbers do not include zero or negative numbers. Whole Numbers (w) Note: Whole numbers include zero but not<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/a-1-classify-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.1 Classify 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-12","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/12","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=12"}],"version-history":[{"count":71,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/12\/revisions"}],"predecessor-version":[{"id":18244,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/12\/revisions\/18244"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=12"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}