Page 15 - Maths Class 04
P. 15

c.  4090                      9040                     4040


                 d.  7582                      5872                     7528

                 e.  6191                      9161                     1961

                 f.  8118                      8108                     8008


            Building Numbers


            Suppose, we are given 4 digits, say 3, 2, 4 and 5. You

            can make many numbers with these given digits.

            3245, 3254, 3452, 3425, 3524, 3542 and so on.


            Building the Biggest Number Without Repetition

            We have 4, 3, 8, 5 and 2 to build the greatest number.
            Put  the  biggest  digit  in  the  ten  thousands  column,

            then the next biggest digit in thousands column and                          T Th    Th    H      T     O

            so on. We put the digits in descending order to get                            8      5     4     3     2
            85432  which  is  the  biggest  5-digit  number  with  the

            given digits.


            Building the Smallest Number Without Repetition

            We have 4, 3, 8, 5 and 2 to build the smallest number.                       T Th    Th    H      T     O
            Here, we put the digits in the ascending order to get
                                                                                           2      3     4     5     8
            the number 23458. This is the smallest 5-digit number

            with the given digits.


            Example  :  Build  the  biggest  and  the  smallest  4-digit  numbers  with  the
                            digits 8, 3, 7, 4 and 1.


            Solution  :  Biggest number                       87431 (descending order of digits)

                           Smallest number                    13478 (ascending order of digits)


            Example  :  Build  the  biggest  and  the  smallest  4-digit  numbers  with  the

                            digits 0, 6, 2 and 9.

            Solution  :  Biggest number                       9620 (descending order of digits)

                           Smallest number                    2069 (ascending order of digits except 0)




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