{"id":10861,"date":"2026-11-02T02:02:53","date_gmt":"2026-11-02T02:02:53","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10861"},"modified":"2026-11-02T02:02:53","modified_gmt":"2026-11-02T02:02:53","slug":"place-value-system","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/place-value-system\/","title":{"rendered":"Place Value System"},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Unit<\/strong>: Number System<\/h2>\n

Chapter<\/strong>: Place Value System<\/h3>\n

Reference<\/strong>: \u2013 Introduction to Place Value, Face Value vs Place Value, Indian Place Value System (Ones, Tens, Hundreds, Thousands, Lakhs, Crores), International Place Value System (Ones, Tens, Hundreds, Thousands, Millions, Billions), Comparison of Indian and International Systems, Expanded Form, Writing Numbers in Words, Use of Commas<\/em><\/p>\n

After studying this chapter, you should be able to understand:<\/p>\n

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  • Introduction to Place Value & Its Need<\/li>\n
  • Face Value vs Place Value<\/li>\n
  • Indian Place Value System (Ones to Crores)<\/li>\n
  • International Place Value System (Ones to Billions)<\/li>\n
  • Comparison of Indian and International Systems<\/li>\n
  • Expanded Form of Numbers<\/li>\n
  • Writing Numbers in Words<\/li>\n
  • Use of Commas in Both Systems<\/li>\n<\/ul>\n

    Introduction: Place Value System, India and International<\/strong><\/p>\n

    According to our number system, the value of a digitdepends upon the place it holds in the number.<\/p>\n

    The TRUE and ACTUAL value<\/strong> of a number depends on two factors:<\/p>\n

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    1. Face value<\/strong> of a digit in a number is the digit itself<\/li>\n
    2. Place value<\/strong> of a digit in a number depends upon the place it occupies in the place value chart (you can also call it as the \u201cposition\u201d of digit in a number)<\/li>\n<\/ol>\n

      In the Base-10 number system, starting from \u201cright hand side\u201d AND moving towards left, each place has a value of 10 times the place to its right.<\/p>\n

        \n
      • The value of the first place beginning at the \u201cextreme\u201d right is \u201cone<\/strong>\u201d<\/li>\n
      • \u00a0The value of the next place left to it is \u201cten<\/strong>\u201d i.e. 10 times of 1,<\/li>\n
      • The value of place left to tens place is \u201chundred<\/strong>\u201d i.e. 10 times 10, the next is \u201cthousand\u201d and so on.<\/li>\n<\/ul>\n

        Examples:<\/strong><\/p>\n

        (a) The face value of 9 in 19,650 is 9.<\/p>\n

        (b) The face value of 1 in 2,515 is 1.<\/p>\n

        So, the VALUE of a digit in any number<\/strong><\/p>\n

        = Face Value<\/strong> of the Digit \u00d7 Place Value of the place<\/strong> it occupies in the place value chart<\/p>\n

        Let us understand the concept of place value through a place value chart-<\/p>\n

        \"\"<\/p>\n

        Source: Kapdec.com<\/p>\n<\/div>\n

        In the above table,<\/p>\n

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        • The place value of ‘1’ at ones place <\/strong>is one or ‘1’.<\/li>\n
        • At tens place<\/strong> the place value of 1 is 1 \u00d7 10 i.e. ’10’<\/li>\n
        • At hundreds place<\/strong> the place value of 1 is 10 \u00d7 10 i.e. ‘100’<\/li>\n
        • At thousands place<\/strong> the place value of 1 is 100 \u00d7 10 i.e. ‘1,000’<\/li>\n
        • At ten-thousands place<\/strong> the place value of 1 is 1,000 \u00d7 10 i.e. ‘10,000’<\/li>\n
        • At hundred-thousand place<\/strong> the place value of 1 is 10,000 \u00d7 10 i.e. ‘100,000’<\/li>\n
        • At one-million place<\/strong> the place value of 1 is 100,000 \u00d7 10 i.e. ‘1,000,000’<\/li>\n<\/ul>\n

          \u00a0<\/p>\n

          Examples:<\/strong><\/p>\n

          What is the place value and face value of “8” in<\/p>\n

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          1. 875<\/li>\n
          2. 80,376<\/li>\n<\/ol>\n

            \u00a0<\/p>\n

            Let us have a look at the place value chart to understand better<\/p>\n

            \"\"<\/p>\n

            Source: Kapdec.com<\/p>\n<\/div>\n

            Now, the face value of 8 in both the cases is ‘8’ itself.<\/p>\n

            However, the place value of a digit changes with its position in any number.<\/p>\n

            As we can see from the above table,<\/p>\n

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            1. Since 8 occupies the hundreds place in 875, so, its place value is 8 \u00d7 100 = 8-hundreds or 800<\/li>\n
            2. Since 8 occupies the ten-thousands place in 80,376, so, its place value is 8 \u00d7 10,000 = 80-thousands or 80,000<\/li>\n<\/ol>\n

              \u00a0<\/p>\n

              \u00a0<\/p>\n

              Do Remember<\/strong><\/p>\n

              # The ACTUAL value of 0 is always zero irrespective of the place it occupies.<\/p>\n

              To make it easier to read, a number is separated into groups of digits using commas. Each of these groups is called a period<\/strong>. When a number is expressed in this form, it is called the \u201cstandard form<\/strong>\u201d of the number. There are two number systems that are used worldwide. Indian Place Value system and International Place value system.<\/p>\n

              \"\"<\/p>\n

              Source: Kapdec.com<\/p>\n<\/div>\n

              \u00a0<\/p>\n

                \n
              • The major difference between two systems of breaking up numbers is the position of placing commas for grouping numbers into periods.<\/li>\n<\/ul>\n

                \u00a0<\/p>\n

                  \n
                • Also, in Indian number system we use terms like ones, tens, hundreds, thousands, lakhs and crores whereas in International number system we use terms like ones, hundreds, thousands, millions and so on.<\/li>\n<\/ul>\n

                  \u00a0<\/p>\n

                  <\/p>\n