Page 30 - Math Skill - 5
P. 30

28                                                                                                  Maths

        Step 1:      We arrange the given numbers in columns, ones under ones, tens under tens,
                     hundred under hundred and so on.

        Step 2:      We add the digits in each column taking the carry over, if any, to the next column to
                     the left and adding it along with the digit in that column. We continue this process
                     till we add the digits in all the columns.

        Addition without Regrouping

        Let’s learn through example given below:


               Let’s Attempt


        Example:       Add 6,52,35,165 and 1,23,60,123.
        Solution:           6 5 2 3 5 1 6 5

                         + 1 2 3 6 0 1 2 3
                            7 7 5 9 5 2 8 8                      The sum of the given numbers is 7,75,95,288.

        Addition with Regrouping

        Let’s learn through example given below:

        Example:       Add 3,67,52,896 and 1,51,62,905.
        Solution:              1      1      1   1   1

                               3 6 7 5 2 8 9 6
                           + 1 5 1 6 2 9 0 5
                               5 1 9 1 5 8 0 1                 The sum of the given numbers is 5,19,15,801.


        Properties of Addition
        Commutative Property

        When the order of the addends is changed, the sum remains the same.
        10,412 + 11,371 = 21,783 and 11,371 + 10,412 = 21,783                Fact-o-meter

        Zero Property                                                      �  Commutative property is also

        The sum of zero and the number is the number itself.                  known as order property.
        14,510 + 0 = 14,510;  0 + 14,510 = 14,510                          �  Associative  property  is  also
                                                                              known as grouping property.
        Associative Property

        Even if the grouping of addends is changed, the sum remains the same.

               (3500 + 6000) + 950 = 10,450                                              Challenge
               3500 + (6000 + 950) = 10,450                                        I’m a number with four nines,

               (3500 + 950) + 6000 = 10,450                                        Turn me around,
                                                                                   I stay the same in all lines.
                                                                                   Add me to 1, what do you find?,
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