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               \ 30-Sep-2025  Bharat Arora   Proof-9                                        Reader’s Sign _______________________ Date __________





              Example 1: Find 937 × 506.                          Example 2: Find 804 × 590.
              Solution:                                           Solution:

                      L tth th H t O                                     L tth th H t O
                                     9 3 7                                              8 0 4

                  ×                  5 0 6           500 + 0 + 6     ×                  5 9 0          500 + 90 + 0
                                 5   6 2 2           937 × 6                  7     2   3 6 0          804 × 90
                                 0   0 0 0           937 × 0          + 4     0     2   0 0 0          804 × 500

                   + 4      6    8   5 0 0           937 × 500           4    7     4   3 6 0          Product
                      4     7    4   1 2 2           Product           Thus, 804 × 590 = 474360.

                   Thus, 937 × 506 = 474122.


                     maths fun
                     Play in a pair. One person will roll 3 dice together and form the greatest             Collaborative Learning

                     and  the  smallest  3-digit  numbers  using  the  outcomes on
                     the  dice. The  other  partner  will  now  multiply  the  numbers
                     so  obtained.  Now, the partners will  change  their  roles. The
                     second partner will roll 3 dice together and form the greatest
                     and  smallest  3-digit  numbers.  The first  partner  will  now
                     multiply  the  numbers so obtained.  Repeat the  process. The
                     partner who gives more correct answers will win.



                       Practice Time 3C

              Find the product of the following.

                1.  325 × 249                2.  709 × 413            3.  372 × 165           4.  248 × 403
                5.  273 × 304                6.  504 × 332            7.  555 × 125           8.  589 × 251


              Multiplication by a nuMber enDing WitH Zero

              Abdul  and his  sister Zoya want  to buy sweets.

              Abdul’s mother gave him 5 notes of `100.                                  Think Tank
              Zoya: How much money did Mother give you?                               Find two different pairs of
                                                                                      3-digit numbers whose product
              Abdul: Mother gave me `500.                                             is the same?
              Zoya: How do you calculate it so quickly?

              Abdul: I will explain the concept behind this to you with the help of examples.
              To  get the  product of a number  with  another  number  which  has  zeros at the  end,
              we first multiply the two numbers without the zeros.

              Then,  count the number  of  zeros and  place that number  of                      100 × 5 = 500
              zeros with the product so obtained.                                                       1 × 5


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