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    D:\Working\TouchPad_Maths\TouchPad_Maths_1\Open_Files\Chap_07\Chap_07
                   \ 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 =

                       110       Mathematics 1

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