Page 27 - Math Skill - 4
P. 27

Addition and Subtraction                                                                                25

          4. Write the number which is

              (a)  10050 more than 56989                     (b)  12388 more than 36506

        Properties of Addition

        Let us learn the properties of addition.

        Order Property of Addition

        The sum of two numbers remains the same even if we change the order of the numbers.
        For example, let us add 13816 and 2458.

                13816 + 2458 = 16274  and  2458 + 13816 = 16274
        Thus, 13816 + 2458 = 2458 + 13816

        Grouping Property of Addition

        When adding three or more numbers the numbers can be grouped in any way. The sum remains
        the same in all cases.
        For example,  let us add 2367, 43787 and 24786.

                         (2367 + 43787) + 24786 = 46154 + 24786 = 70940
                         (2367 + 24786) + 43787 = 27153 + 43787 = 70940

                         2367 + (43787 + 24786) = 2367 + 68573 = 70940
        Thus, (2367 + 43787) + 24786        = (2367 + 24786) + 43787 = 2367 + (43787 + 24786)

        Property of Zero

        When we add zero to a number, the sum is always the number itself.

        For example, 53276 + 0 = 53276, 453243 + 0 = 453243
        Adding 10, 100 and 1000


            ™   When we add 10 to a number, the digit in the tens place is increased by 1.
               For example, 37673 + 10 = 37683                233456 + 10 = 233466

            ™   When we add 100 to a number, the digit in the hundreds place is increased by 1.
               For example, 13567 + 100 = 13667               243456 + 100 = 243556


            ™   When we add 1000 to a number, the digit in thousands place is increased  by 1.
               For example, 38380 + 1000 = 39380              234567 + 1000 = 235567



                                                   Exercise 2.2



          1. Fill in the blanks.
              (a)  4734 + 2341 = 2341 + _______              (b)  32145 + _______ = 32145

              (c)  72810 + 0 = _______                       (d)  42810 + 100 = _______
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