{"id":705147,"date":"2024-01-22T15:55:56","date_gmt":"2024-01-22T10:25:56","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=705147"},"modified":"2024-04-17T12:46:15","modified_gmt":"2024-04-17T07:16:15","slug":"international-system-of-numeration","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/","title":{"rendered":"International System of Numeration"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#The_Numeral_System\" title=\"The Numeral System\">The Numeral System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#What_is_the_International_System_of_Numeration\" title=\"What is the International System of Numeration?\">What is the International System of Numeration?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#Structure_of_the_International_System_of_Numeration\" title=\"Structure of the International System of Numeration\">Structure of the International System of Numeration<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#Rules_of_the_International_System_of_Numeration\" title=\"Rules of the International System of Numeration\">Rules of the International System of Numeration<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#International_System_of_Numeration_Chart\" title=\"International System of Numeration Chart\">International System of Numeration Chart<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#Key_Rules_of_the_International_System_of_Numeration\" title=\"Key Rules of the International System of Numeration\">Key Rules of the International System of Numeration<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#International_System_of_Numeration_Solved_Examples\" title=\"International System of Numeration: Solved Examples\">International System of Numeration: Solved Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#Indian_Numeral_System\" title=\"Indian Numeral System:\">Indian Numeral System:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#Difference_Between_Indian_and_International_System_of_Numeration\" title=\"Difference Between Indian and International System of Numeration\">Difference Between Indian and International System of Numeration<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#FAQs_on_International_System_of_Numeration\" title=\"FAQs on International System of Numeration\">FAQs on International System of Numeration<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#What_is_meant_by_place_value\" title=\"What is meant by place value?\">What is meant by place value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#What_is_the_difference_between_place_value_and_face_value\" title=\"What is the difference between place value and face value?\">What is the difference between place value and face value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/international-system-of-numeration\/#What_is_the_difference_between_the_Indian_and_International_numeral_systems\" title=\"What is the difference between the Indian and International numeral systems?\">What is the difference between the Indian and International numeral systems?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><strong>International System Of Numeration: <\/strong>Counting things on a daily basis is as natural as the process of breathing. we use numbers and counting a lot in our daily lives. but have you ever wondered what the standard way of Counting is? and how it emerged. what are the basic rules of numbers? this article will introduce you to the <strong><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/numeral-system\/\">Number system<\/a><\/strong> and briefly discuss the International System of Numeration.<\/p>\n<p>The <strong>International System of Numeration<\/strong>, commonly used worldwide, simplifies the representation of numbers by dividing them into groups or periods. This system is different from the Indian numeral system, primarily used in India among Hindus. Let&#8217;s explore the International System of Numeration in this article and understand its structure and rules.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Numeral_System\"><\/span>The Numeral System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In <strong><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/\">Mathematics<\/a><\/strong>, a numeral system is a way of expressing numbers consistently. The Hindu Arabic numeral system, originating in India, is the most commonly used. It is a positional base 10 system, meaning the position of each digit in a number is crucial, and a place value chart helps explain this.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_International_System_of_Numeration\"><\/span>What is the International System of Numeration?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The International System of Numeration organises numbers into periods such as ones, thousands, millions, etc., facilitating the accurate reading of large numbers. While the system shares similarities with the Indian numeral system, the placement of commas differs.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Structure_of_the_International_System_of_Numeration\"><\/span>Structure of the International System of Numeration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The International System of Numeration divides numbers into periods, each further grouped based on place values:<\/p>\n<ol>\n<li><strong>One Period:<\/strong> Comprising ones, tens, and hundreds, the first three digits of a number fall under this period.<\/li>\n<li><strong>Thousand Period:<\/strong> Encompassing thousands, ten thousand, and hundred thousand, the next three digits form this period.<\/li>\n<li><strong>Million Period:<\/strong> Grouping million, ten-million, and hundred million, the subsequent three digits fall under this period.<\/li>\n<li><strong>Billion Period:<\/strong> Including billion, ten billion, and hundred billion, the next three digits constitute this period.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Rules_of_the_International_System_of_Numeration\"><\/span>Rules of the International System of Numeration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the International System of Numeration, commas separate periods, and digits within the same period are spoken together while reading a number. For example, 78,921,092 is read as &#8220;Seventy-eight million nine hundred twenty-one thousand ninety-two.&#8221;<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/gk-questions\/gk-questions-on-international-number-system\/\"> <button class=\"btn btn-primary\" style=\"width: 100%; cursor: pointer;\" type=\"button\">GK Questions on International Number System<\/button> <\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"International_System_of_Numeration_Chart\"><\/span>International System of Numeration Chart<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Below given figure explains the International System of Numeration. Save the International System of Numeration Chart for future reference. Also, download it in PDF format from the link below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Key_Rules_of_the_International_System_of_Numeration\"><\/span>Key Rules of the International System of Numeration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li><strong>Plural Forms<\/strong>: Periods are not written in a plural form; for instance, 456,876 is read as &#8220;four hundred fifty-six thousand eight hundred seventy-six,&#8221; without adding an &#8216;s&#8217; to thousand or hundred.<\/li>\n<\/ol>\n<ol start=\"2\">\n<li><strong>&#8216;And&#8217; Usage:<\/strong> The word &#8216;and&#8217; is not used before tens and ones; for example, 3535 is read as &#8220;three thousand five hundred thirty-five,&#8221; not as &#8220;three thousand and five hundred thirty-five.&#8221;<\/li>\n<\/ol>\n<ol start=\"3\">\n<li><strong>Comma Placement:<\/strong> Commas are not used when writing the number in expanded form. For instance, 3535 is written as &#8220;three thousand five hundred thirty-five,&#8221; not as &#8220;three thousand, five hundred thirty-five.&#8221;<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"International_System_of_Numeration_Solved_Examples\"><\/span>International System of Numeration: Solved Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Example 1. Rewrite the number 85694217 according to the International number system.<\/strong><\/p>\n<p><strong>Solution:<\/strong> In the International number system, commas are used to separate different periods, making large numbers easier to read. Therefore, as per the International numeral system, the given number 85694217 is written as 85,694,217.<\/p>\n<p><strong>Example 2. Express the number 4532789614 in accordance with the International number system.<\/strong><\/p>\n<p><strong>Solution:<\/strong> In the International number system, commas play a crucial role in marking different periods within a large number. Therefore, adhering to the International numeral system, the number 4532789614 is expressed as 4,532,789,614.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Indian_Numeral_System\"><\/span>Indian Numeral System:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the Indian system, the place values of digits progress in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores, and so on. For example, in the number 78921092:<\/p>\n<p>2 represents Ones<\/p>\n<p>9 represents Tens<\/p>\n<p>0 represents Hundreds<\/p>\n<p>1 represents Thousands<\/p>\n<p>2 represents Ten Thousand<\/p>\n<p>9 represents Lakhs<\/p>\n<p>8 represents Ten Lakhs<\/p>\n<p>7 represents Crores<\/p>\n<p>The relationship between them is defined as 1 hundred, equaling 10 tens and so on.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Difference_Between_Indian_and_International_System_of_Numeration\"><\/span>Difference Between Indian and International System of Numeration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The primary distinction lies in the grouping of digits. In the Indian system, the first period has 3 digits, and subsequent periods have 2 digits each. Conversely, the international system consistently groups 3 digits in all periods. After the ten thousand places, the Indian system uses terms like Lakhs, Ten lakhs, and Crores, while the international system uses terms like Hundred thousand, Millions, and Ten million.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" style=\"width: 100%;\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center; width: 45.4128%;\"><strong>Indian System of Numeration<\/strong><\/td>\n<td style=\"text-align: center; width: 54.2813%;\"><strong>International System of Numeration<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.4128%;\">Nine places grouped into four periods: ones, thousands, lakhs, and crores.<\/td>\n<td style=\"width: 54.2813%;\">Nine places grouped into three periods: ones, thousands, millions, and further into billion and so on.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.4128%;\">Place Values: ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores.<\/td>\n<td style=\"width: 54.2813%;\">Place Values: Ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.4128%;\">Lakhs and crores are Indian units.<\/td>\n<td style=\"width: 54.2813%;\">Millions and billions are international units.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_International_System_of_Numeration\"><\/span>FAQs on International System of Numeration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_meant_by_place_value\"><\/span>What is meant by place value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tPlace value in Math refers to the value of any digit in a number based on its position. For example, in 345, the place value of 4 is 40 because it's in the ten's position.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_difference_between_place_value_and_face_value\"><\/span>What is the difference between place value and face value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe place value of a digit is determined by its position in a number, while the face value is the digit itself. For example, in 297, the place value of 2 is 200, and the face value is 2.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_difference_between_the_Indian_and_International_numeral_systems\"><\/span>What is the difference between the Indian and International numeral systems?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe main difference lies in the placement of commas. In the Indian system, lakhs are written after thousands, whereas in the International system, millions are written after thousands.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is meant by place value?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Place value in Math refers to the value of any digit in a number based on its position. For example, in 345, the place value of 4 is 40 because it's in the ten's position.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the difference between place value and face value?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The place value of a digit is determined by its position in a number, while the face value is the digit itself. For example, in 297, the place value of 2 is 200, and the face value is 2.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the difference between the Indian and International numeral systems?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The main difference lies in the placement of commas. In the Indian system, lakhs are written after thousands, whereas in the International system, millions are written after thousands.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>International System Of Numeration: Counting things on a daily basis is as natural as the process of breathing. we use [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"International System of Numeration","_yoast_wpseo_title":"What is International System of Numeration? - Definition, Rules, Examples & Chart","_yoast_wpseo_metadesc":"Discover the International System of Numeration, its evolution, various numeral systems, and the importance of standardizing numbers worldwide.","custom_permalink":"maths\/international-system-of-numeration\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is International System of Numeration? 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