{"id":722,"date":"2025-10-15T10:34:36","date_gmt":"2025-10-15T10:34:36","guid":{"rendered":"https:\/\/kapdec.com\/help\/?post_type=docs&#038;p=722"},"modified":"2026-04-10T10:56:46","modified_gmt":"2026-04-10T10:56:46","slug":"what-is-the-international-place-value-system","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/what-is-the-international-place-value-system\/","title":{"rendered":"What is the International Place Value System?"},"content":{"rendered":"<p><b>The International Place Value System<\/b><\/p>\n<p>In this system, we start grouping the number from right in group of 3 called period.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Starting from the right, the first period is ones, consisting of three place values i.e. ones, tens and hundreds.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li>The next period is thousands, consisting of three places i.e. thousands, ten-thousands and hundred-thousands.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li>The third period is millions consisting of three places i.e. millions, ten-millions and hundred million and then billions, trillions and so on.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-723\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/1-300x63.png\" alt=\"\" width=\"300\" height=\"63\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><b>Reading and writing a number<\/b><\/p>\n<ul>\n<li>While reading a number in the International system, all of the digits in the same period are read together and the name of the period (except the ones) is read along with them.<\/li>\n<li>While writing a number in the International system, we put a comma after every period to separate the period and making it easier to read.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>Example 1:<\/b>\u00a0Write the following in words:<\/p>\n<ol>\n<li>227,842<\/li>\n<\/ol>\n<ol>\n<li>36,479,111<\/li>\n<\/ol>\n<ol>\n<li>508,541,360<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>Solution:<\/b>\u00a0Let us arrange the digits in International place value chart as follows:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-724\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/2-300x55.png\" alt=\"\" width=\"300\" height=\"55\" \/><\/p>\n<ol>\n<li>Two hundred twenty-seven thousand eight hundred forty two<\/li>\n<\/ol>\n<ol>\n<li>Thirty-six million four hundred seventy-nine thousand one hundred eleven<\/li>\n<\/ol>\n<ol>\n<li>Five hundred eight million five hundred forty-one thousand three hundred sixty<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>Example 2 :<\/b>\u00a0Write the following in figures :<\/p>\n<ol>\n<li>Three hundred five million thirty-seven thousand sixty three<\/li>\n<\/ol>\n<ol>\n<li>Eighty-nine million one hundred twenty-six thousand ninety<\/li>\n<\/ol>\n<ol>\n<li>Two million twenty<\/li>\n<\/ol>\n<p><b>Solution:<\/b>\u00a0Let us make the International place value chart and write the digits in the respective places from the number name.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-725\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/3-300x55.png\" alt=\"\" width=\"300\" height=\"55\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>The required number is-<\/p>\n<ol>\n<li>305,037,063<\/li>\n<\/ol>\n<ol>\n<li>89,126,090<\/li>\n<\/ol>\n<ol>\n<li>2,000,020<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>Expanded Form<\/b><\/p>\n<ul>\n<li>A number when expressed with its place value denotes its expanded form.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li>Suppose we write a number 619, here we actually mean that we have a total of 600 + 10 + 9. This expansion shows the value of each of its digit and hence represents the expanded form.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li>The expanded form varies in the Indian and International structure as per their defined period.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>International Place Value System<\/b><\/p>\n<p><b>Examples:\u202f\u00a0<\/b><\/p>\n<p>Expand the following numbers as per International Place Value System<b>:<\/b><\/p>\n<ol>\n<li>81,664<\/li>\n<\/ol>\n<ol>\n<li>1,697,832<\/li>\n<\/ol>\n<p>We can expand any given number in three ways:<\/p>\n<ol>\n<li>81,664<\/li>\n<\/ol>\n<p>= 8 ten thousand + 1 thousand + 6 hundred + 6 ten +<br \/>\n4 one<\/p>\n<p>Or\u00a0= 8 x 10,000 + 1 x 1,000 + 6 x 100 + 6 x 10 + 4 x 1<\/p>\n<p>Or\u00a0= 80,000 + 1,000 + 600 + 60 + 4<\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li>1,697,832<\/li>\n<\/ol>\n<p>= 1 million + 6 hundred thousand + 9 ten thousand +<br \/>\n7 thousand + 8 hundred\u00a0+\u00a03 ten + 2 one<\/p>\n<p>Or\u00a0= 1 x 1,000,000 + 6 x 100,000 + 9 x 10,000 +\u00a07 x<br \/>\n1,000 + 8 x 100 + 3 x 10 + 2 x 1<\/p>\n<p>Or= 1,000,000 + 600,000 + 90,000 + 7,000 + 800 + 30 +<br \/>\n2<\/p>\n<p>&nbsp;<\/p>\n<p><b>Did you know??<\/b><\/p>\n<ul>\n<li>Zero was invented by Aryabhata. India invented the Number System.<\/li>\n<li>The place value system and the decimal system were developed in India in 100 BC.<\/li>\n<\/ul>\n<ul>\n<li>The largest numbers used by the Greeks and the Romans were 10^6 whereas Hindus used numbers as big as 10^53 with specific names as early as 5000 BC during the Vedic period.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The International Place Value System In this system, we start grouping the number from right in group of 3 called period. &nbsp; Starting from the right, the first period is ones, consisting of three place values i.e. ones, tens and hundreds. &nbsp; The next period is thousands, consisting of three places i.e. thousands, ten-thousands and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[590],"tags":[595,362],"class_list":["post-722","post","type-post","status-publish","format-standard","hentry","category-grade-5","tag-grade-5-mathematics","tag-place-value-system-3"],"_links":{"self":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/722","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/comments?post=722"}],"version-history":[{"count":1,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/722\/revisions"}],"predecessor-version":[{"id":1564,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/722\/revisions\/1564"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=722"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}