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               \ 08-Oct-2025  Bharat Arora   Proof-9                                Reader’s Sign _______________________ Date __________





              rePresentation of decimal nUmbers on a Place valUe chart

              We know that when we move from right to left in the place value chart, the value of the
              respective place increases 10 times.

              Also, we can say that when we move from left to right in the place value chart, the value
              of the respective place decreases 10 times.
              Now, if we extend the place value chart to the right of the ones place, the place value at
              the places to the right of the ones place will be fractional. The place value of the immediate

              right  place  after  the  ones  place  is  tenths   1    and  to  the  right  of  the  tenths  place,  the
                                                                 10
              place value is hundredths         1    and so on.
                                              100

               Places       → Tens Ones • Tenths Hundredths
                                                                                 Think Tank                    Critical Thinking
               Values of  → (10)  (1) •            1           1               What is your weight? Check
               the places                         10         100               using  a  digital  weighing  machine  and
                                                                               write it in numerals and words. Is your
              We write the digits towards the right of the ones                weight a decimal number?
              place digit using a dot (.) or decimal point. Each

              place to the right of the decimal point is called a decimal place.
              For example:

                          Tens        Ones                Tenths      Hundredths
                          (10)          (1)        •          1             1
                                                             10            100

                    (a)                 4          •          1             2

                    (b)     1           0          •          0             7
                    (c)     4           8          •          8             1

                    (d)     9           9          •          9             9
              We write and read these decimal numbers as follows:

                    (  a)  4.12: Four point one two                  (b)  10.07: Ten point zero seven
                    (  c)  48.81: Forty-eight point eight one        (d)  99.99: Ninety-nine point nine nine

              Example 1:  Write the following decimal numbers in the numeral form.
                    (  a)  Two point zero nine

                    (  b)  Three point seven two                                               Math Insight
                    (  c)  Fifty point one nine                                           We do not read the digits
                                                                                          to the right of the decimal
                    (  d)  Seventy-three point zero three                                 point together.
                    (  e)  Eighty-four point six

               Teacher’s   Explain to the students the difference between “tens and tenths”, “hundreds and hundredths”, etc.
                  Tip


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