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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_02\Chap_02
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                      3.  If we add 1 to any number, the sum is the successor of the number.

                           a.         H T O                b.        Th  H T O                c.        H T O
                                      1  7 5                          2  4 3 7                                  1
                                  +          1       Successor    +              1       Successor   +  5 7 8

                                      1  7 6                          2  4 3 8                          5 7 9          Successor

                    Addition with Regrouping

                    We have learnt the addition  of smaller numbers with regrouping  in the previous
                    classes. Now, we will learn the addition of 4-digit and 5-digit numbers with regrouping.

                    Adding 4-digit Numbers

                    Example 1. 5243 + 4987 = ?

                    Solution. Write the numbers in columns and add starting from the ones place. Regroup
                    if necessary.

                     Step 1. Add the        Step 2. Add the        Step 3. Add the              Step 4. Add the
                     ones and regroup. tens and regroup. hundreds and regroup. thousands and regroup.

                           Th  H T O              Th  H T O                 Th  H T O                  TTh  Th  H T O

                                   1                   1  1                  1  1   1                   1   1   1  1
                           5   2 4 3               5  2 4 3                 5   2 4 3                       5  2 4 3
                        +  4   9 8 7           +   4  9 8 7              +  4   9 8 7                +      4  9 8 7

                                      0                   3 0                   2 3 0                   1  0   2 3 0

                    Therefore, 5243 + 4987 = 10230.

                    Adding 5-digit Numbers

                    Example 2. 36976 + 57898 = ?

                    Solution.

                     Step 1. Add the ones and           Step 2. Add the tens and            Step 3. Add the hundreds
                     regroup.                           regroup.                            and regroup.

                              TTh  Th  H T O                      TTh  Th  H T O                    TTh  Th  H T O

                                           1                              1   1                          1   1  1
                               3   6   9 7 6                       3  6   9 7 6                      3   6  9 7 6

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

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                                                                                        Addition and Subtraction

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