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Example 4 : 131235 + 223525 = 354760

                           133525 + 221235 = 354760
                           This property is also called commutative property.
             2. Grouping Property

             The way in which three numbers are grouped for addition does not change their
             sum.

                    Example 5  :  Add 2,48,015, 1,76,240 and 93,148
                                  Also, 2,48,015 + 1,76,240 + 93,148                 2,48,015 + 1,76,240 + 93,148
                                          = (2,48,015 + 1,76,240) + 93,148           2,48015 + (1,76,240 + 93,148)
                                          = 4,24,255 + 93, 148                       2,48,015 + 2,69,388

                                          = 5,17,403                                 = 5,17,403
                                  This property is also called Associative Property.

             3. Zero Property

             The sum of a non-zero addend and zero is the non-zero addend.
             For example :        5,43,572 + 0 = 5,43,572 and 0 + 5,43,572 = 5,43,572

                                  This property is also called Identity Property.


               E       xercise 2.1





             1. Add the following :


                  a.                                 b.                               c.
                            4 3 7 2 5 4 3                     5 3 7 6 2 9 1                    3 4 2 4 6 6 4
                         + 2 1 2 5 4 5 2                  + 2 4 2 3 3 7 8                      + 3 5 2 3 2 8








                  d.           3 2 7 5 7 9           e.       2 3 6 8 4 8 3           f.       4 2 3 8 5 1 9

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







                  g.        5 3 3 3 4 8 1            h.    5 6 7 6 1 2 1 8            i.       4 8 3 3 4 1 8

                         + 3 6 6 9 9 2 4                  + 2 9 3 5 9 3 2                + 5 4 3 9 2 3 1 2







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                                                                                      Mathematics In Focus - 5
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