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





              Example 2: Write the place value of each digit in the following numbers:
                    (  a)  80,50,107                                 (b)  3,35,21,604

              Solution:
                    (  a)
                          tL    L    TTh    Th    H     t     O

                           8    0     5     0      1    0     7
                                                                       Place value
                                                                       7 × 1 = 7
                                                                       0 × 10 = 0
                                                                       1 × 100 = 100
                                                                       0 × 1000 = 0
                                                                       5 × 10000 = 50000
                                                                       0 × 100000 = 0
                                                                       8 × 1000000 = 8000000


                    (  b)                                                                         Be Aware
                           C    tL    L    TTh    Th    H     t     O                        The place value and

                           3    3     5     2      1    6     0     4                        the face value of 0 is
                                                                                             always 0 in the number.
                                                                             Place value
                                                                             4 × 1 = 4
                                                                             0 × 10 = 0

                                                                             6 × 100 = 600
                                                                             1 × 1000 = 1000
                                                                             2 × 10000 = 20000

                                                                             5 × 100000 = 500000
                                                                             3 × 1000000 = 3000000
                                                                             3 × 10000000 = 30000000


              Example 3: Find the sum and the difference of the place values of the coloured digits in
                             3,72,90,785.
              Solution:
                             C tL L TTh Th H t O

                             3 7 2      9    0 7 8 5                                             Get it right!
                                                             Place value                       6   10     6  9 9 910
                                                             7 × 100 = 700                   7000000 7000000
                                                             7 × 1000000 = 7000000           –     700 –     700
                                                                                             6000300 6999300
                            Sum of the place values of 7 = 7000000 + 700

                                                               =  7000700
                            Difference of the place values of 7 = 7000000 – 700

                                                                     =  6999300


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