{"id":166,"date":"2022-04-12T09:45:04","date_gmt":"2022-04-12T09:45:04","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=166"},"modified":"2025-12-03T11:41:51","modified_gmt":"2025-12-03T11:41:51","slug":"h-4-put-rational-numbers-in-order","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/h-4-put-rational-numbers-in-order\/","title":{"rendered":"H.4 Put rational numbers in order"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Put rational numbers in order<\/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<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>What Are Rational Numbers?<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A rational number is <strong>any number that can be written as a fraction<\/strong> \ud83e\udde1<br>Example: \u00bd, \u20133, 4, 0.25, \u20137\/8<\/li>\n\n\n\n<li>They can be <strong>positive (+)<\/strong> or <strong>negative (\u2013)<\/strong> \u2795\u2796<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udccf <strong>Convert All Numbers to the Same Form<\/strong><\/h2>\n\n\n\n<p>Before ordering, convert them to:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimals<\/strong> OR<\/li>\n\n\n\n<li><strong>Fractions with same denominators<\/strong><br>\ud83d\udc49 This makes comparison easier! \u2728<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd01 <strong>Number Line Helps!<\/strong> \ud83d\udcc9<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Numbers <strong>on the right are greater<\/strong> \ud83c\udf1e<\/li>\n\n\n\n<li>Numbers <strong>on the left are smaller<\/strong> \ud83c\udf19<br>Example:<br>\u20135 &lt; \u20132 &lt; 0 &lt; 3 &lt; 4<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\u2795\u2796 <strong>Compare Positive and Negative Numbers<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>All positive numbers > all negative numbers<\/strong> \ud83d\udc9a > \u2764\ufe0f<\/li>\n\n\n\n<li>Among negatives: the number with <strong>smaller absolute value is greater<\/strong><br>Example: \u20132 > \u20135 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd0d <strong>Compare Rational Numbers With Fractions<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use <strong>common denominators<\/strong><br>Example:<br>3\/8 and 5\/12 \u2192 Convert to denominator 24<br>3\/8 = 9\/24<br>5\/12 = 10\/24<br>So, <strong>3\/8 &lt; 5\/12<\/strong> \ud83c\udf89<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\uddee <strong>Compare Rational Numbers With Decimals<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert fractions to decimals<br>Example:<br>0.4 = 0.40<br>\u2153 \u2248 0.33<br>So, <strong>\u2153 &lt; 0.4<\/strong> \ud83c\udf08<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Put the Numbers in Ascending \/ Descending Order<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Ascending (small \u2192 big):<\/strong> \u2b06\ufe0f<\/li>\n\n\n\n<li><strong>Descending (big \u2192 small):<\/strong> \u2b07\ufe0f<br>Example: Order: \u20133, 0.5, 2\/3, \u20131<br>Convert: \u20133, \u20131, 0.5, 0.66<br>Final order (ascending): <strong>\u20133, \u20131, 0.5, 2\/3<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Check Using Absolute Values<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Helps compare negative numbers<br>Example: \u20134 and \u20137<br>|\u20134| = 4<br>|\u20137| = 7<br>Smaller absolute value \u2192 greater number<br>So, <strong>\u20134 > \u20137<\/strong> \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\u2b50 <strong>Ordering Mixed Rational Numbers<\/strong><\/h2>\n\n\n\n<p>If the set has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fractions<\/li>\n\n\n\n<li>Decimals<\/li>\n\n\n\n<li>Whole numbers<br>\ud83d\udc49 Convert all to <strong>decimals<\/strong> for easiest comparison \ud83c\udf1f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udf08 <strong>Practice Makes You Perfect<\/strong><\/h2>\n\n\n\n<p>Try ordering sets like:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.2, \u20133\/5, 4, \u20130.1<\/li>\n\n\n\n<li>7\/8, \u20132, 0, \u2013\u00be<br>The more you practice, the faster you become! \u26a1\ud83d\udca1<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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\" style=\"background-color:#fae0f5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-691e99a228eb7d9d7329e372b7fbae82\"><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 Put&nbsp;these numbers in order from&nbsp;<strong>least<\/strong>&nbsp;to&nbsp;<strong>greatest<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8211; 0.5<\/li>\n\n\n\n<li>0.1<\/li>\n\n\n\n<li>&#8211; 5<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li>You want to order the numbers from least to greatest. Since negative numbers are less than positive numbers, start with them first.<\/li>\n\n\n\n<li>When comparing negative numbers, larger numbers (if you ignore the minus sign) are less than smaller numbers.\u20135 is less than\u20130.5.<\/li>\n\n\n\n<li>Next come the positive numbers. 0.1 is the only positive number. It is the greatest number in the list.<\/li>\n\n\n\n<li>The numbers, written as decimals, in order from least to greatest are:<\/li>\n\n\n\n<li>&#8211; 5<\/li>\n\n\n\n<li>&#8211; 0.5<\/li>\n\n\n\n<li>0.1<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#d5fae7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\uddfcPut&nbsp;these numbers in order from&nbsp;<strong>least<\/strong>&nbsp;to&nbsp;<strong>greatest<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8211; 8 3\/30<\/li>\n\n\n\n<li>8<\/li>\n\n\n\n<li>&#8211; 8 2\/10<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, write all the numbers as decimals.<\/li>\n\n\n\n<li>-8 3\/30=-8.1<\/li>\n\n\n\n<li>-8 2\/10=-8.2<\/li>\n\n\n\n<li>You want to order the numbers from least to greatest. Since negative numbers are less than positive numbers, start with  them first.<\/li>\n\n\n\n<li>When comparing negative numbers, larger numbers (if you ignore the minus sign) are less than  smaller numbers. -8.2 is less than  -8.1.<\/li>\n\n\n\n<li>Next come the positive numbers. 8 is the only positive number. It is the greatest number in the list. <\/li>\n\n\n\n<li>The numbers, written as decimals, In order from least to greatest are:<\/li>\n\n\n\n<li>&#8211; 8.2 &lt; &#8211; 8.1 &lt;8<\/li>\n\n\n\n<li>So, the correct answer is:<\/li>\n\n\n\n<li>&#8211; 8 2\/10<\/li>\n\n\n\n<li>&#8211; 8 3\/30<\/li>\n\n\n\n<li>8<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#d5f1f1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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 Put&nbsp;these numbers in order from&nbsp;<strong>greatest<\/strong>&nbsp;to&nbsp;<strong>least<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8211; 3<\/li>\n\n\n\n<li>12 \/ 15<\/li>\n\n\n\n<li>&#8211; 3 3 \/ 15<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, write all the numbers as decimals.<\/li>\n\n\n\n<li>12 \/ 15 = 0.8<\/li>\n\n\n\n<li>-3 3 \/ 15 = -3.2<\/li>\n\n\n\n<li>You want to order the numbers from greatest to least. Since positive numbers are greater than negative numbers, start with them  first.<\/li>\n\n\n\n<li>0.8 is the only positive number. It is the greatest number in the list.<\/li>\n\n\n\n<li>Next come the negative numbers, when comparing negative numbers, smaller numbers (If you Ignore the minus sign) are greater than larger numbers. -3 is greater than -3.2.<\/li>\n\n\n\n<li>The numbers, written as decimals, in order from greatest to least are: <\/li>\n\n\n\n<li>0.8 &gt; -3 &gt; -3.2<\/li>\n\n\n\n<li>So, the correct answer is:<\/li>\n\n\n\n<li>12 \/ 15<\/li>\n\n\n\n<li>&#8211; 3<\/li>\n\n\n\n<li>&#8211; 3 3 \/ 15<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\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\/33813\/145\/867\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-269.png\" alt=\"\" class=\"wp-image-7420\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-269.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-269-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-269-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-269-400x400.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\/81269\/512\/976\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-277.png\" alt=\"\" class=\"wp-image-7421\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-277.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-277-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-277-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-277-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Put rational numbers in order Key Notes: \ud83d\udd22 What Are Rational Numbers? \ud83d\udccf Convert All Numbers to the Same Form Before ordering, convert them to: \ud83d\udd01 Number Line Helps! \ud83d\udcc9 \u2795\u2796 Compare Positive and Negative Numbers \ud83d\udd0d Compare Rational Numbers With Fractions \ud83e\uddee Compare Rational Numbers With Decimals \ud83d\udd22 Put the Numbers in Ascending \/<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/h-4-put-rational-numbers-in-order\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.4 Put rational numbers in order&#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-166","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Put rational numbers in order Key Notes: \ud83d\udd22 What Are Rational Numbers? 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