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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-02
              \\December 7, 2023 3:54 PM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





              Checking subtraction using addition

              We can check the 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.

              example 4: Find: 9,58,028 – 6,41,280 and check the answer.
              Solution:         L   tth th       H     t    O


                                                 9
                                            7    10   12
                                9     5     8    0     2    8      Minuend
                           –    6     4     1    2     8    0      Subtrahend
                                3     1     6    7     4    8      Difference

                                                              8 ones – 0 ones = 8 ones
                                                        12 tens – 8 tens = 4 tens
                                                   9 hundreds – 2 hundreds = 7 hundreds
                                             7 thousands – 1 thousand = 6 thousands
                                       5 ten thousands – 4 ten thousands = 1 ten thousand
                                 9 lakhs – 6 lakhs = 3 lakhs
                       Thus, 9,58,028 – 6,41,280 = 3,16,748                                  L tth th H t O
                       Check: The result  or the difference                                             1   1

                       when  added to  the subtrahend  must  Subtrahend                      6    4     1   2 8 0
                       give the minuend.                                   Difference     + 3     1     6   7 4 8
                       Hence, the answer is correct.                        Minuend          9    5     8   0 2 8

              subtraction with Zeros                                                         tth th      H    t    O

              example 5: What must be added to 67,284 to get 90,000?                                9     9   9

              Solution:   To get the required number, we subtract 67,284                       8    10   10   10   10
                             from 90,000.                                                      9    0    0    0    0

                               Arrange the  numbers  in  columns  and  subtract            – 6      7    2    8    4
                             as shown here.                                                    2    2    7    1    6
                               Thus, 22,716 must be added to 67,284 to get 90,000.

              example 6:  What must be subtracted from 73,648 to get 43,000?

              Solution:     To get the required number, we subtract 43,000 from 73,648 and then
                             check the answer.
                               tth th H          t    O                            tth th H         t    O

                                 7    3     6    4    8                             7     3    6    4    8

                             –   4    3     0    0    0        Checking         –   3     0    6    4    8

                                 3    0     6    4    8                             4     3    0    0    0
                             Thus, 30,648 must be subtracted from 73,648 to get 43,000.


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