{"id":127,"date":"2022-04-12T06:09:13","date_gmt":"2022-04-12T06:09:13","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=127"},"modified":"2025-11-06T11:20:44","modified_gmt":"2025-11-06T11:20:44","slug":"e-9-compare-decimal-numbers","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/e-9-compare-decimal-numbers\/","title":{"rendered":"E.9 Compare decimal numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Compare decimal numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Understand Place Value in Decimals<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A decimal has <strong>place values<\/strong> to the right of the decimal point.<\/li>\n\n\n\n<li><strong>Tenths (0.1) \u279c Hundredths (0.01) \u279c Thousandths (0.001)<\/strong><br>\u270f\ufe0f Example: <strong>3.482<\/strong><\/li>\n\n\n\n<li>3 = Ones<\/li>\n\n\n\n<li>4 = Tenths<\/li>\n\n\n\n<li>8 = Hundredths<\/li>\n\n\n\n<li>2 = Thousandths<\/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\udde0 <strong>Compare Whole Numbers First<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the <strong>whole number part<\/strong> first.<br>\u2714\ufe0f Example:<br><strong>5.2 &gt; 3.9<\/strong> (because 5 &gt; 3)<\/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\udc40 <strong>If Whole Numbers are Equal, Compare Decimal Places<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Compare <strong>Tenths<\/strong><\/li>\n\n\n\n<li>If equal, compare <strong>Hundredths<\/strong><\/li>\n\n\n\n<li>If still equal, compare <strong>Thousandths<\/strong><br>\ud83d\udccd Example:<br>Compare <strong>4.56<\/strong> and <strong>4.59<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tenths: 5 = 5 (same)<\/li>\n\n\n\n<li>Hundredths: 6 &lt; 9<br>\u2705 <strong>4.56 &lt; 4.59<\/strong><\/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\uddc1 <strong>Add Zeros to Make Comparison Easier<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Missing decimal places? Add zeros!<br>\ud83c\udf69 Example:<br>Compare <strong>3.7<\/strong> and <strong>3.70<\/strong><br>Same value \u2192 <strong>3.7 = 3.70<\/strong><\/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\">\u2696\ufe0f <strong>Use the Symbols Correctly<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Symbol<\/th><th>Meaning<\/th><th>Example<\/th><\/tr><\/thead><tbody><tr><td><strong>&gt;<\/strong><\/td><td>Greater than<\/td><td>2.5 &gt; 2.3<\/td><\/tr><tr><td><strong>&lt;<\/strong><\/td><td>Less than<\/td><td>1.25 &lt; 1.3<\/td><\/tr><tr><td><strong>=<\/strong><\/td><td>Equal to<\/td><td>4.60 = 4.6<\/td><\/tr><\/tbody><\/table><\/figure>\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\udcca <strong>Think of Decimals as Money for Quick Comparing<\/strong><\/h3>\n\n\n\n<p>\ud83d\udcb0 Example:<br>Compare <strong>0.75<\/strong> and <strong>0.8<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>75 paise vs 80 paise<br>\u2705 <strong>0.75 &lt; 0.80<\/strong><\/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\udf70 <strong>Use Fraction Thinking<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert decimals to fractions for clarity.<br>Example:<br>0.6 = 6\/10<br>0.65 = 65\/100<br>\u2705 6\/10 &lt; 65\/100 \u2192 0.6 &lt; 0.65<\/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\udd0d <strong>Line up Decimals to Compare<\/strong><\/h3>\n\n\n\n<p>Write numbers <strong>vertically<\/strong> with the <strong>decimal points aligned<\/strong>.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>  4.56\n  4.5\n= 4.50\n<\/code><\/pre>\n\n\n\n<p>Now compare the digits.<\/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>Practice with Real-life Examples<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Comparing <strong>prices<\/strong>, <strong>scores<\/strong>, <strong>measurements<\/strong>, and <strong>data<\/strong> helps understand better.<\/li>\n<\/ul>\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:#d3fcfe\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>Which number is bigger, 8.019 or 8.03?<\/strong><\/p>\n\n\n\n<p> Follow the steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the numbers with the decimal points lined up.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Starting at the far left, which is the largest place value, compare the numbers.<\/li>\n<\/ul>\n\n\n\n<p>The digit in the ones place in both numbers is an 8.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the first-place value is the same in both numbers, move one spot to the right and compare again.<\/li>\n<\/ul>\n\n\n\n<p>The digit in the tenths place in both numbers is a 0.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the second place value is the same in both numbers, move one spot to the right and compare again.<\/li>\n<\/ul>\n\n\n\n<p>The digit in the hundredths place in the top number is a 1, and it is a 3 in the bottom number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number with the larger digit is the larger number.<\/li>\n<\/ul>\n\n\n\n<p>Since 3 is bigger than 1, then&nbsp;8.03&nbsp;&gt;&nbsp;8.019 <\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:20px\">8.03&nbsp;&gt;&nbsp;8.019<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fbd5d5\"><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>Which decimal is less than the one shown in this diagram?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2-2.png\" alt=\"\" class=\"wp-image-7674\" style=\"aspect-ratio:1;width:282px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2-2.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2-2-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>0.46<\/li>\n\n\n\n<li>0.37<\/li>\n\n\n\n<li>0.5<\/li>\n\n\n\n<li>0.43<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Write the decimal shown.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-14.png\" alt=\"\" class=\"wp-image-7675\" style=\"aspect-ratio:1;width:280px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-14.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-14-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-14-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>There are 10 columns. There are 4 coloured columns. The decimal part is four tenths.<\/p>\n\n\n\n<p>Write four tenths as a decimal: 0.4.<\/p>\n\n\n\n<p>The decimal shown is 0.4. Look for the decimal that is less than 0.4.<\/p>\n\n\n\n<p>0.37 is less than 0.4. Remember that 0.4 is equivalent to 0.40. The tenths digit in 0.<strong>3<\/strong>7 is less than the tenths digit in 0.<strong>4<\/strong>0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cddff9\"><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>Which decimal is greater than the one shown in this diagram?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-3.png\" alt=\"\" class=\"wp-image-7676\" style=\"aspect-ratio:1;width:300px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-3.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-3-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>0.13<\/li>\n\n\n\n<li>0.15<\/li>\n\n\n\n<li>0.0<\/li>\n\n\n\n<li>0.1<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Write the decimal shown.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-4.png\" alt=\"\" class=\"wp-image-7677\" style=\"aspect-ratio:1;width:302px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-4.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-4-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>There are 100 squares. There are 14 coloured squares. The decimal part is fourteen hundredths.<\/p>\n\n\n\n<p>Write fourteen hundredths as a decimal: 0.14.<\/p>\n\n\n\n<p>The decimal shown is 0.14. Look for the decimal that is greater than 0.14.<\/p>\n\n\n\n<p>0.15 is greater than 0.14. The hundredths digit in 0.1<strong>5<\/strong>&nbsp;is greater than the hundredths digit in 0.1<strong>4<\/strong>.<\/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\/79625\/436\/357\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-206.png\" alt=\"\" class=\"wp-image-6287\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-206.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-206-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-206-150x150.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\/80055\/625\/756\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-218.png\" alt=\"\" class=\"wp-image-6288\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-218.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-218-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-218-150x150.png 150w\" 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>Compare decimal numbers key notes : \ud83d\udd22 Understand Place Value in Decimals \ud83e\udde0 Compare Whole Numbers First \ud83d\udc40 If Whole Numbers are Equal, Compare Decimal Places \ud83e\uddc1 Add Zeros to Make Comparison Easier \u2696\ufe0f Use the Symbols Correctly Symbol Meaning Example &gt; Greater than 2.5 &gt; 2.3 &lt; Less than 1.25 &lt; 1.3 = Equal<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/e-9-compare-decimal-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.9 Compare decimal 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-127","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=127"}],"version-history":[{"count":20,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/127\/revisions"}],"predecessor-version":[{"id":16292,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/127\/revisions\/16292"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}