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    E:\Working\Orange_Education\Math_Genius_2\Open_Files\Chap_02
                   \ 26-Sep-2025  Bharat Arora   Proof-10                                   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 Tank             Critical Thinking

                  example 2: Find 6 + 7 + 6.                                              Write the sum of the
                                                                                          given magic triangles in
                  Solution:  First add the same numbers to get the                        the circle.
                                  double. Then add the sum to the third                            3

                                  number.                                                 1.

                                      t    O                                                 4          3

                                           6                   t    O                              4
                                           7 +        12       1    2   12 + 7 = 19       2.
                                  +        6               +        7                        4          6

                                                               1    9                              5

                                  Thus, 6 + 7 + 6 = 19.                                   3.

                                                                                             2          8
                           Practice Time 2F

                  1.  Circle (    ) the pair of numbers that add up 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 if the following sums are equal.

                        (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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