Page 35 - Math_Genius_V1.0_C5_Flipbook
P. 35

E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_02
              \\February 27, 2024 10:04 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





              example 4: The greater number of two numbers is 96,58,358 and their sum is 1,00,00,568.
              Find the smaller number.
              Solution:     To find  the  smaller  number, subtract             C    tL   L   tth th      H    t   O
                            greater number from the sum.                             9    9     9

                                                                                0    10   10   10    10
                            The sum of two numbers                   =          1    0    0     0    0    5    6   8
                            Greater number                           =      –        9    6     5    8    3    5   8
                            Therefore, the smaller number            =                    3     4    2    2    1   0
                            So, the smaller number is 3,42,210.
              Properties of subtraction

                1.  When 0 is subtracted from a number, the difference is the number itself.

                    example: 5048 – 0 = 5048 and 2671 – 0 = 2671
                2.  When 1 is subtracted from a number, we get its predecessor.
                    example: 3489 – 1 = 3488. Here, 3488 is the predecessor of 3489.

                3.  When a number is subtracted from itself, the difference is always 0.
                    example: 3483 – 3483 = 0 and 27381 – 27381 = 0



                       Think and Answer
                    Find the number which is 3676 less than the sum of 88888 and 33333.


              Addition And subtrAction together

              example 1:  Simplify: 31119281 – 67215321 + 57252918.

              Solution:     Step 1:  First add all the numbers having               C   tL   L tth th H        t    O
                                     either  ‘+’ sign  or no sign  in
                                     front of them.                                               1   1
                                                                                    3   1    1    1   9    2   8    1
                                                                                 + 5    7    2    5   2    9   1    8
                                                                                    8   8    3    7   2    1   9    9

                            Step 2:  Subtract the number having ‘–’                 C   tL   L tth th H        t    O
                                     sign in front of it from the sum                             6   11  11
                                     obtained in step 1.
                                                                                    8   8    3   7    2   1    9    9
                                                                                 – 6    7    2    1   5    3   2    1
                                                                                    2   1    1    5   6    8   7    8

                            Thus, 31119281 – 67215321 + 57252918 = 21156878



                       Think and Answer
                    Subtract the sum of the place values of 5s from the sum of place values of 8s in
                    the number 85235586.


              Mathematics-5                                                                                          33
   30   31   32   33   34   35   36   37   38   39   40