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               \ 26-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________





              example 1: Check if 2 + 7 + 6 = 7 + 2 + 6.

              Solution:  We can add the numbers in any order.

                    t    O                         t    O                     t    O                         t    O
                         2                         1                               7                         1

                         7                              9      Or                  2                              7
                +        6                     +        6                 +        6                     +        8
                                                   1    5                                                    1    5

                              Thus, 2 + 7 + 6 = 15 = 7 + 2 + 6
                                                                                         Think and Answer
              example 2: Find 6 + 7 + 6.                                              Write the sum of the given

              Solution:  First add the same numbers to get the                        magic triangles in the circle.
                                                                                               3
                              double. Then add the sum to the third                   1.

                              number.
                                                                                         4          3
                                  t    O                   t    O                              4

                                       6                        6                     2.
                                       7 +        12            7   12 + 7 = 19
                              +        6               +        6                        4          6

                                                           1    9                              5
                                                                                      3.
                              Thus, 6 + 7 + 6 = 19
                                                                                         2          8
                       Practice Time 2F


              1.  Circle (     ) the pair of numbers that add to 10. Then, add the remaining number.

                    (a)      t    O          (b)      t    O         (c)       t    O         (d)       t    O

                                  6                        4                        9                        3
                                  3                        5                        5                        5
                         +        4               +        5               +        1               +        7



              2.  Add and check the following sums.

                    (a)      t    O                   t    O         (b)       t    O                   t    O

                                  4                        2                        6                        3
                                  2                        4                        3                        6
                         +        7               +        7               +        8               +        8







              Mathematics-2                                                                                          45
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