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    E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_03
                 \ 06-Jan-2024  Sonia Suyal   Proof-1                                         Reader’s Sign _______________________ Date __________

                  Example 2: In a village, there are 2135 men and 1987 women. If the population of the
                  village is 8000, how many children are there in the village?

                  Solution:   We can find the number of children either by adding 2135 and 1987 and

                                 then subtracting the sum from 8000 or by subtracting 2135 from 8000 and
                                 then 1987 from the difference.

                                                 th H      t   O              th H      t   O

                                                      9    9                       17  15
                                                  7   10  10   10              4   7    5   15
                                                 8    0    0   0              5    8    6   5
                                              – 2     1    3   5           – 1     9    8   7
                                                 5    8    6   5              3    8    7   8

                                 The number of children in the village = 8000 – 2135 – 1987 = 3878

                                 Therefore, the number of children in the village is 3878.

                           Think and Answer
                        Fill in the missing digits.
                        1.         H    t   O        2.         H   t    O        3.         H   t    O

                                   4        7                   5        6                   6   9
                                – 3     5                    + 4    1                    –            8
                                        8   9                   9   4    4                   2   1    3

                  checking Subtraction with addition

                  To check subtraction, add the difference to the smaller number (subtrahend). If the sum

                  is equal to the bigger number that is minuend, then the subtraction is correct.

                  Example 1: Subtract 512 from 925 and check whether the difference is correct or not.
                  Solution:   Subtraction                                    Checking using addition

                                    H    t   O                                   H   t    O

                                     9   2    5       Minuend                    4   1    3       Difference
                                 – 5     1    2       Subtrahend              + 5    1    2       Subtrahend

                                     4   1    3       Difference                 9   2    5       Minuend

                                   Clearly, the sum of the ‘difference’ and the ‘subtrahend’ is equal to the
                                 ‘minuend’. Thus, the difference is correct.

                  Mathematics-3                                                                                          61

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