Page 189 - New Medley 2 Semester 1
P. 189

3.  5, 2, 4 and 7                               4.  7, 5, 6 and 8

                    Greatest  Smallest                              Greatest         Smallest

                     H     T    O       H    T    O                   H    T    O      H    T    O





        Example 5: Make  the  greatest  and  smallest  three  digit  number

                           by using digits 8, 0 and 2. Repetition of digits is not
                           allowed.
        Solution:

        Let us first write the greatest number. Now  let  us  write  the  smallest

        We arrange the digits in descending                   number.

        order.                                                We arrange the digits in ascending
                                                              order.
                       8, 2 and 0
                                                                            0, 2 and 8
        8 is the greatest, so we write it at
                                                              0 is the smallest, but if we write
        hundreds place.
                                                              0 in hundreds place, our number
                            H    T    O
                                                              will  become  a  two  digit  number,
                            8                                 so 0 cannot be used here.

                                                              We still have the digits 2 and 8.
        We are left with 2 and 0.                             Out  of  the  digits  2  and  8,  2  is

        We know that 2 is greater.                            the  smaller  digit.  We  write  2  in
        We write 2 in tens place.                             hundreds place.


                            H    T    O                                          H    T    O

                            8 2                                                  2


        We are left with 0.                                   We are left with 8 and 0.
                                                              We  know  that  0  is  smaller.  We
        We write 0 in ones place.
                                                              write 0 in tens place.
                            H    T    O
                                                                                 H    T    O
                            8 2 0
                                                                                 2 0


                                                              We write 8 in ones place.

                                                                                 H    T    O


                                                                                 2 0 8
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