Page 19 - SM Class 4 Inner.cdr
P. 19

Example 6 : Find the sum of 669702, 154789 and 113465.
                   Arrange the digits of the addends in columns     L  TTh   Th   H   T    O
                   and add as usual.                                1 1  1   1    1   1
                   The sum is 937956.                              6  6  9  7  0  2
                                                                + 1  5  4  7  8  9
                                                                + 1  1  3  4  6  5
                                                                   9  3  7  9  5  6




                                                  Properties of Addition

             Order Property of Addition

             We  can  add  two  numbers  in  any  order.  The  sum  remains  the  same.  This

             property is also called commutative property.


                 Example 7 : Find the sum of 460721 and 237544.
                 Solution :    L   TTh  Th   H    T   O              L  TTh   Th   H   T    O

                              4  6  0  7  2  1                      2  3  7  5  4  4

                           + 2  3  7  5  4  4              Or    + 4  6  0  7  2  1
                              6  9  8  2  6  5                      6  9  8  2  6  5
                   In both cases, the sum  remains the same.



             Additive Property of Zero

             If  zero  is  added  to  a  number,  the  sum  is  the  number  itself.  Zero  is  called
             additive identity.


               Example 8 :  Add 423456 and 0.
               Solution :    L   TTh  Th   H    T   O


                            4  2  3  4  5  6
                          +                             0
                            4  2  3  4  5  6

                         The sum is the number itself.

             Grouping Property of Addition

             While adding three or more numbers we may group the numbers in any order.

             The Sum remains the same. This is also called grouping property of addition.








                                                                                                                   19
                                                                                      Mathematics In Focus - 4
   14   15   16   17   18   19   20   21   22   23   24