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               \ 17-Nov-2025     Surender Singh Rothan   Proof-7                           Reader’s Sign _______________________ Date __________





            using the Short Method

            Example 2. Add 35 and 12.
            Solution.

            Step 1. Add the ones.                                  Step 2. Add the tens.

                            T O                                                   T O

                            3 5                                                   3 5

                        +    1 2                                              +   1 2            +
                                 7                +                               4 7



            Thus, 35 + 12 = 47.

            Example 3. Add: 72 + 11.                              Example 4. Add: 64 + 25.

            Solution.           T O                    T O        Solution.           T O                    T O


                                7 2                    7 2                            6 4                   6 4

                            +   1    1            +    1   1                     + 2 5                  + 2 5

                                    3                  8 3                                9                 8 9

            Thus, 72 + 11 = 83.                                   Thus, 64 + 25 = 89.






                        Exercise 7C


              1.  Add using expanded form.

                    a.                                              b.
                             37             tens +          ones             64             tens +           ones

                        +  42               tens +          ones         +  23              tens +           ones

                                            tens +          ones                            tens +           ones

                            37 + 42 =                                        64 + 23 =


                    c.                                              d.
                             73              tens +         ones             53             tens +           ones

                        +    15              tens +         ones         +  44              tens +           ones

                                             tens +         ones                            tens +           ones

                            73 + 15 =                                        53 + 44 =



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