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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________






                       practice time 2E

              Add the numbers. Check your answer by adding them in the opposite order.

                   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.

                   (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



              In both cases, we get the same answer.
              This shows that the order of the addends does not change the sum. 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 a number, the sum 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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