{"id":742,"date":"2025-10-15T10:44:30","date_gmt":"2025-10-15T10:44:30","guid":{"rendered":"https:\/\/kapdec.com\/help\/?post_type=docs&p=742"},"modified":"2026-04-10T10:54:03","modified_gmt":"2026-04-10T10:54:03","slug":"what-is-expanded-form-in-the-international-and-indian-place-value-systems","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/what-is-expanded-form-in-the-international-and-indian-place-value-systems\/","title":{"rendered":"What is Expanded Form in the International and Indian Place Value Systems?"},"content":{"rendered":"

Expanded Form: International Place Value System<\/b><\/p>\n

The Expanded form varies in the Indian and International structure as per their defined period. We just learned how to expand a number per the Indian Place Value System, now let us go through some examples to learn about the International Place Value System.<\/p>\n

The key point of difference is how we actually use the \u201cperiods\u201d and the placement of\u00a0comma\u2019s\u00a0accordingly.<\/p>\n

International Place Value System\u00a0<\/b>Examples:\u202f\u00a0<\/b><\/p>\n

Expand the following numbers as per International Place Value System:<\/b><\/p>\n

    \n
  1. 81,664<\/li>\n<\/ol>\n
      \n
    1. 1,697,832<\/li>\n<\/ol>\n

      We can expand any given number in three ways:<\/p>\n

        \n
      • 81,664<\/li>\n<\/ul>\n

        = 8 ten thousand + 1 thousand + 6 hundred + 6 ten +
        \n4 one<\/p>\n

        Or\u00a0= 8 x 10,000 + 1 x 1,000 + 6 x 100 + 6 x 10 + 4 x 1<\/p>\n

        Or= 80,000 + 1,000 + 600 + 60 + 4<\/p>\n

          \n
        • 1,697,832<\/li>\n<\/ul>\n

          = 1 million + 6 hundred thousand + 9 ten thousand +
          \n7 thousand + 8 hundred\u00a0+\u00a03 ten + 2 one<\/p>\n

          Or\u00a0= 1 x 1,000,000 + 6 x 100,000 + 9 x 10,000 + 7 x
          \n1,000 + 8 x 100 + 3 x 10 + 2 x 1<\/p>\n

          Or\u00a0= 1,000,000 + 600,000 + 90,000 + 7,000 + 800 + 30 +
          \n2<\/p>\n

          Indian Place Value System<\/b><\/p>\n

          Examples:\u202f\u00a0<\/b><\/p>\n

          Expand the following numbers as per Indian Place Value System:<\/b><\/p>\n

          (a)\u00a0 64,980<\/p>\n

          (b)\u00a0 9,82,143<\/p>\n

          We can expand any given number in three ways:<\/p>\n

            \n
          • 64,980<\/li>\n<\/ul>\n

            = 6 ten thousand + 4 thousand + 9 hundred + 8 ten +
            \n0 one<\/p>\n

            Or\u00a0= 6 x 10,000 + 4 x 1,000 + 9 x 100 + 8 x 10 + 0 x 1<\/p>\n

            Or\u00a0= 60,000 + 4,000 + 900 + 80 + 0<\/p>\n

              \n
            • 9,82,143<\/li>\n<\/ul>\n

              = 9\u00a0lakh\u00a0+ 8 ten thousand + 2 thousand + 1 hundred +
              \n4 ten + 3 one<\/p>\n

              Or\u00a0= 9 x 1,00,000 + 8 x 10,000 + 2 x 1,000 + 1 x 100 +
              \n4 x 10 + 3 x 1<\/p>\n

              Or\u00a0= 9,00,000 + 80,000 + 2,000 + 100 + 40 + 3<\/p>\n","protected":false},"excerpt":{"rendered":"

              Expanded Form: International Place Value System The Expanded form varies in the Indian and International structure as per their defined period. We just learned how to expand a number per the Indian Place Value System, now let us go through some examples to learn about the International Place Value System. The key point of difference […]<\/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-742","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\/742","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=742"}],"version-history":[{"count":2,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/742\/revisions"}],"predecessor-version":[{"id":1693,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/742\/revisions\/1693"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}