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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_02
             \ 12-Sep-2024               Surender Prajapati   Proof-4                     Reader’s Sign _______________________ Date __________





                       practice time 2E


              Add and check the answer by changing the direction of the addition of numbers.

                   1.                                2.                               3.

                                 H    t   O                         H   t    O                    th H     t    O

                                 8    7   2                         1   0    6                    3    0   9    0
                              + 1     2   7                     + 4     0    5                 + 6     3   0    7




              Addition properties

              order of Addition


              Let us see what happens when we change the order of the addends while adding.

              Look at the following sum:
                   (a)      H    t   O            H    t   O      (b)    th H      t    O           th H      t    O

                            2    4   3            1    2    5             2    3   5    0            3    0   4    3
                         + 1     2   5         + 2     4    3          + 3     0   4    3         + 2     3   5    0

                            3    6   8            3    6    8             5    3   9    3            5    3   9    3


              We observe that in both cases, we get the same answer.
              So, we can conclude that the order of the addends does not affect the sum obtained.

              This is called the order property of addition.
              property of 0


              When ‘0’ is added to a number, the sum is equal to the number itself.
              examples:         (a)  123 + 0 = 123          (b)  4325 + 0 = 4325         (c)  6739 + 0 = 6739

              property of 1

              When we add '1' to any number, the sum obtained is the successor of that number.

              examples:         (a)  386 + 1 = 387          (b)  2168 + 1 = 2169         (c)  4329 + 1 = 4330

              Adding 10, 100 And 1000


              Adding 10

              When we add '10' to a number, the value of the digit at the tens place increases by 1 and

              the ones digit remains the same.

              examples:  (a) 442 + 10 = 452              (b) 6954 + 10 = 6964         (c) 5302 + 10 = 5312



              Mathematics-3                                                                                          41
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