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Properties of Division

            There are certain properties of division. Let’s understand them.


            Division of a number by 1

            A number when divided by 1 gives the same number                    Mental Maths
            as the quotient.                                                   Find the quotient.

            For example, 112 ÷ 1 = 112    1225 ÷ 1 = 1225                               9 ÷ 1 = ?

                                                                                       15 ÷ 1 = ?
            Division of a number by itself
                                                                                      220 ÷ 1 = ?
            A number when divided by itself gives the quotient                        3070 ÷ 1 = ?
            as 1.

            For example, 119 ÷ 119 = 1    7430 ÷ 7430 = 1


            Division of 0 by a number

            0 when divided by any number gives the quotient as 0.

            For example, 0 ÷ 79 = 0    0 ÷ 653 = 0


            Division of a number by 0

            It is not possible to divide a number by 0.



                                                      EXERCISE 6.3


              1.  Fill in the blanks.

                   (a)  9 ÷ 9 = _______          (b)  462 ÷ 1 = _______            (c)  364 ÷ 0 = _______

                  (d)  0 ÷ 1598 = _______  (e)  16 ÷ 1 = _______                   (f)  28 ÷ 28 = _________

                  (g)  0 ÷ 6773 = _______  (h)  9009 ÷ 9009 = _______  (i)  5167 ÷ 1 = _________
              2.  Fill in the boxes.


                   (a)  718 ÷         = 718      (b)  0 ÷ 7425 =                   (c)        ÷ 1132 = 1


                  (d)  5421 ÷ 1 =                (e)  9378 ÷ 9378 =                (f)  0 ÷        = 0


            Multiplication and Division Facts

            You know that there are two division facts for every multiplication fact. Look at the
            following example.





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