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





              Solution:

                             Number name           Tens      Ones      •    Tenths      Hundredths         Decimal
                                                   (10)        (1)             1              1            numbers
                                                                              10             100

                        (a) Two point zero                      2      •       0              9              2.09
                            nine

                        (b) Three point

                            seven two                           3      •       7              2              3.72

                        (c) Fifty point one          5          0      •       1              9              50.19
                            nine

                        (d) Seventy-three            7          3      •       0              3              73.03
                            point zero three


                        (e) Eighty-four point
                            six                      8          4      •       6                             84.6


              decimal Place valUe and exPanded form


              We know that the decimal part of a decimal number is separated from the whole part by

              a decimal point. The decimal part follows the same place value pattern as the whole part
              of the number. However, the decimal place value works from left to right, just the reverse

              manner of the whole number part.
                                                                                                           1
              The  place  value  of  the  first  place  to  the  right  of  the  units  place  is  tenths   10  = 0.1

              and  the  place  value  of  the  second  place  to  the  right  of  the  units  place  is  hundredths
                  1   = 0.01 .
                 100

              Example: Write the place value and expanded form of the following numbers:

                    (  a)  3.5                                       (b)   8.27

              Solution:

                    (  a)   Ones • Tenths                                                         Get it right!

                           3     •     5                                                     12.45 – Twelve point
                                                         Place Value                         forty-five
                                               5 tenths  5 × 0.1 = 0.5                                            7
                                               3 ones    3 × 1    = 3                        12.45 – Twelve point
                                                                                             four five            3
                       Expanded form:  3.5 = 3 ones + 5 tenths = 3 + 0.5


              Mathematics-5                                                                                         105105
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