Page 32 - Math_Genius_V1.0_C5_Flipbook
P. 32

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 2:  An  NGO planted  4,12,250;  3,34,278;  and  2,43,581  saplings  across  the  whole
              country on three successive years. How many saplings were planted in total during these
              three years?

              Solution:                                                                      L tth th H        t   O

                                                                                                 1    1   2
                                                                st
                          Number of saplings planted in 1  year                  =          4    1    2   2    5   0
                                                                nd
                          Number of saplings planted in 2  year                  =          3    3    4   2    7   8
                          Number of saplings planted in 3  year                  =       + 2     4    3   5    8   1
                                                                rd
                          Total saplings planted in all three years              =          9    9    0   1    0   9
              Thus, 990109 saplings were planted in three years.

              example 3:  The numbers of people who visited the book-fair in the year 2021, 2022 and
              2023  were 537815,  956237  and  630792,  respectively.  How  many  people  visited  book-fair
              in these three years?

              Solution:                                                                     tL L tth th H t O
                                                                                            2   1   1   1   1   1
                          Number of people who visited book-fair in 2021             =          5   3   7   8   1   5
                          Number of people who visited book-fair in 2022             =          9   5   6   2   3   7

                          Number of people who visited book-fair in 2023             = +        6   3   0   7   9   2
                          Total number of people visited in these three years =             2 1     2   4   8   4   4
                          Thus, 2124844 people visited book-fair in these three years.


              Properties of Addition

                1.   Numbers  can  be  added  in  any  order.  Their  sum  will  remain              FACTS
                    the same. It is called order property of addition.                        The grouping property
                                                                                              can also be used to
                    example: 4025 + 1135 = 5160 and 1135 + 4025 = 5160                        check the correctness
                                                                                              of the sum of addition.
                2.  When 1 is added to a number, we get its successor.

                    example: 2478 + 1 = 2479.

                    Here, 2479 is the successor of 2478.
                3.  When 0 is added to a number, the sum is the number itself.

                    It is called zero property of addition.

                    example: 5136 + 0 = 5136 and 2793 + 0 = 2793
                4.  If the grouping of addends is changed, the sum remains the same. It is called grouping

                    property of addition.
                    example: (35000 + 60000) + 9500 = 1,04,500

                                35000 + (60000 + 9500) = 1,04,500
                                (35000 + 9500) + 60000 = 1,04,500


              30                                                                                    Mathematics-5
   27   28   29   30   31   32   33   34   35   36   37