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             \ 10-Nov-2025  Bharat Arora   Proof-8                                     Reader’s Sign _______________________ Date __________





             Step 4. Add the thousands and regroup.                Step 5. Add the ten thousands.


                                TTh  Th  H T O                                      TTh  Th  H T O
                                 1   1   1  1                                         1  1   1   1
                                 3   6  9 7 6                                        3   6  9 7 6

                              + 5    7  8 9 8                                     + 5    7   8 9 8
                                     4  8 7 4                                        9   4   8 7 4


            Therefore, 36976 + 57898 = 94874.

            Example 3. Add the following numbers:

                         a.  4364 + 1792 + 73645                      b.  20436 + 18369 + 42178


            Solution.  a.        TTh  Th  H T O                       b.       TTh  Th  H T O
                                      1   2  1                                   1      1  2
                                      4  3 6 4                                  2   0   4 3 6
                                      1  7 9 2                                   1  8   3 6 9

                               + 7    3  6 4 5                               + 4    2   1  7 8

                                  7   9  8 0 1                                  8   0   9 8 3


            Checking Addition
            To check a sum, we add the numbers from the bottom-up. This is called adding up.


            Example 4. Find the sum of the following numbers and check the sum.
                         a.  2736 + 4187 = ?                          b.  56143 + 27682 = ?


            Solution.  a.         Th  H T O                           b.       TTh  Th  H T O
                                  2   7 3 6       Adding                        5 6     1 4 3       Adding

                               +  4   1 8 7       down                       + 2 7      6 8 2       down

                                  6   9 2 3         Sum                         8 3     8 2 5        Sum


                                  Th  H T O                                    TTh  Th  H T O

                                  6   9 2    3      Sum                         8 3     8 2 5        Sum

                               +  2   7 3 6       Adding                     + 5 6      1 4 3       Adding
                                  4   1 8 7       up                            2 7     6 8 2       up

                      We get the same sum in both the                    We get the same sum in both the

                      cases. So, the sum is correct.                     cases. So, the sum is correct.




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