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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 __________

                        Step 1. Subtract          Step 2. Subtract          Step 3. Subtract            Step 4. Subtract
                        the ones.                 the tens.                 the hundreds.               the thousands.

                            Th   H T O                  Th  H T O                 Th   H T O                 Th   H T O
                                     3  15                      13                        13                         13
                             9   8 4 5                      7   3  15                  7   3  15                  7   3  15

                          – 3    6 8 9                  9   8 4 5                  9   8 4 5                  9   8 4 5
                                        6            – 3    6 8 9               – 3    6 8 9               – 3    6 8 9

                                                               5 6                     1 5 6                  6   1 5 6

                    Therefore, 9845 – 3689 = 6156.

                    Subtracting 5-digit Numbers

                    Example 2. Subtract 29764 from 75362.                  Example 3. Find the difference of

                                                                                           75134 and 31136.

                    Solution.       TTh  Th  H T O                        Solution.       TTh  Th  H T O

                                        14  12 15                                                 10 12
                                     6  4   2   5  12                                          4  0   2   14
                                     7  5   3 6 2                                          7   5   1 3 4
                                 – 2    9   7 6 4                                       – 3    1   1 3 6

                                     4  5   5 9 8                                          4   3  9 9 8

                    Subtraction of Numbers with Zeros

                    Example 4. Find the difference of:
                                 a.  8496 and 90000            b.  12365 and 80000            c.  45010 and 1769

                    Solution.  a.        TTh  Th  H T O        b.      TTh  Th  H T O         c.      TTh  Th  H T O
                                              9  9   9                      9   9  9                          9   10

                                          8  10  10 10 10                7  10  10 10 10                   4  10 0   10
                                          9  0   0 0 0                  8   0  0 0 0                   4  5   0 1 0
                                      –      8   4 9 6               – 1    2   3 6 5              –       1  7 6 9

                                          8   1  5 0 4                  6   7   6 3 5                  4   3  2 4 1

                    Checking Subtraction

                    We can check subtraction by adding the difference to the subtrahend. If the sum
                    of the difference and the subtrahend is equal to the minuend, the subtraction is
                    correct.

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                                                                                        Addition and Subtraction

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