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              \\December 6, 2023 10:54 AM   Bharat Arora   P-6          Reader _________________________   Date: ___________________74





              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                         3      •       7              2              3.72
                            seven two

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

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

                            point zero three

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



              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. Decimal part follow a place value pattern just as the whole

              part of the number. But the decimal place value works from left to right, in just the

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

              value of the hundredths place is           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
                                               5 tenths  5 × 0.1 = 0.5                       forty-five           7
                                               3 ones    3 × 1    = 3                        12.45 – Twelve point
                                                                                             four five            3
                       Expanded form:  3.5 = 3 ones + 5 tenths = 3 + 0.5


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