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    E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_01
                 \ 11-Sep-2024  Sonia Suyal   Proof-1                                         Reader’s Sign _______________________ Date __________

                  2.  In each set of numbers, encircle the smallest number and underline the greatest
                       number.

                       (a)  5,219 7,346 2,513 3,745                      (b)  7,116 3,745 2,015 3,200
                       (c)  8,346 7,327 8,611 5,039                      (d)  5,001 5,010 5,100 5,101

                  3.  arrange the following numbers in descending order.

                       (a)  6,738 6,378 6,873 6,387                      (b)  3,506 7,093 239 8,132

                       (c)  1,023 3,458 1,320 3,548                      (d)  6,895 6,985 6,589 6,598

                  4.  arrange the following numbers in ascending order.

                       (a)  5,846 5,346 5,446 5,146                      (b)  8,725 9,814 8,275 857

                       (c)  9,037 9,073 9,307 9,703                      (d)  2,679 267  9,672 967

                  FormiNg the greatest aND smallest Numbers

                  Without repetition of digits

                  To form the greatest number with the given digits, we arrange the                      th H      t   O
                  digits in descending order.                                                             9   8    2   1
                  For example, the greatest 4-digit number using digits 1, 9, 8, 2 is 9821.                 Digits are in
                                                                                                         descending order.

                  To form the smallest number with the given digits, we arrange the                      th H      t    O
                  digits in ascending order.                                                              1    2   8    9

                  For example, the smallest 4-digit number using the digits 1, 9, 8, 2                      Digits are in
                  is 1289.                                                                                ascending order

                  example 1: Form the greatest 4-digit number using the given digits:

                       (a)  5, 3, 7, 2          (b)  4, 9, 8, 9

                  Solution:   To form the greatest 4-digit number, we arrange the digits in descending order.

                                 (a)  The greatest 4-digit number using digits 5, 3, 7, 2 is 7,532.

                                 (b)  The greatest 4-digit number using digits 4, 9, 8, 9 is 9,984.

                  example 2: Form the smallest 4-digit number using the given digits.

                       (a)  5, 3, 7, 2          (b)  4, 3, 7, 6

                  Solution:   To form the smallest 4-digit number, we arrange the given digits in ascending order.

                                 (a)  The smallest 4-digit number using digits 5, 3, 7, 2 is 2,357.

                                 (b)  The smallest 4-digit number using digits 4, 3, 7, 6 is 3,467.

                  Mathematics-3                                                                                          19

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