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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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