Page 35 - Touchpad Mathematics_Ver1.0_C4
P. 35

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.



                                                                                                              33
                                                                                    Addition and Subtraction
   30   31   32   33   34   35   36   37   38   39   40