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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





              3.   Property of Zero (0): If we add zero (0) to any number, the sum is the number itself.
              examples:  (a)         H t O              (b)    H t O

                                     2 8 5                             0                   Think and Answer

                                  +          0 Same         +  4 5 3 Same                Add 4256 + 10744 + 1354.
                                                                                         Also, check your answer
                                     2 8 5                     4 5 3                     using grouping property of
                                                                                         addition.
                                 So, 285 + 0 = 285 So, 0 + 453 = 453

              4.   Property of 1: If we add 1 to any number, the sum is the successor of the
                  given number.

              examples:  (a)  4752 + 1 = 4753              (b)  43281 + 1 = 43282

              exploring addition

              Two numbers can be added in different ways. Let us see some of them.
              Let us add 245 and 123 in different ways.


                                  Method 1                                            Method 2

               By splitting only the smaller number                By splitting only the bigger number

                              245 + 123                                           245 + 123



                              245 + 100 + 20 + 3                                  200 + 40 + 5 + 123


               Step 1: 245 + 100 = 345 If we add 100 to            Step 1: 200 + 123 = 323
               Step 2: 345 + 20 = 365           any number, only   Step 2: 323 + 40 = 363
                                                the  digit  at the
               Step 3: 365 + 3 = 368            hundreds  place    Step 3: 363 + 5 = 368
               Thus, 245 + 123 = 368            increases by 1.    Thus, 245 + 123 = 368


                                  Method 3                                            Method 4

               By splitting both the numbers                       Counting in hundreds, tens and ones

                        245        +        123                                   245 + 123



                   200 + 40 + 5       100 + 20 + 3                                 100 + 10 + 10 + 3

               Step 1: 200 + 100 = 300                                     +100       +10       +10        +3
               Step 2: 40 + 20 = 60

               Step 3: 5 + 3 = 8                                      245       345       355       365        368
               Step 4: 300 + 60 + 8 = 368

               Thus, 245 + 123 = 368                               Thus, 245 + 123 = 368



              Mathematics-4                                                                                          37
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