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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 __________

                  While forming numbers, if one of the given digits is a zero (0) then,

                          To form the greatest number, we simply arrange the given digit in descending
                          order (including 0).

                          To form the smallest number, we place '0' at the second highest place from left
                          and arrange remaining digits in ascending order.

                  example 3:  Form the greatest and the smallest 4-digit numbers using the digits 7, 9, 0 and 3.

                  Solution: The greatest 4-digit number is 9,730.

                            The smallest 4-digit number is 3,079.

                           Think and Answer
                        Riya and Prakash have made the greatest and smallest 4-digit numbers using given digits
                        9, 0, 7, 5.
                        1. Circle the number which is not a 4-digit numbere.                       9750     9705
                        2. Who has made the correct greatest 4-digit number?
                        3. Who has made the correct smallest 4-digit number?                 Riya  0579     5079 Prakash

                  With repetition of Digits

                  greatest Number: To form the greatest number, write the given digits in descending

                  order by repeating the greatest digit.

                  example 4: Form the greatest 4-digit number using the digits 5 and 6.

                  Solution: To form the greatest 4-digit number using the given two

                                digits, we repeat  the greatest digit 6 thrice.                         th H      t   O
                                                                                                         6   6    6   5
                                So, the greatest 4-digit number formed with the given                   Greatest Digit

                                digits is 6665.

                  Smallest Number: To form the smallest number, write the given digits in ascending order
                  and repeat the smallest digit.

                  example 5: Form the smallest 4-digit number using the digits 2, 0 and 3.

                  Solution: To form the smallest 4-digit number by using the                            Note
                                given three digits, we repeat the smallest digit 0             We don’t use 0 on the

                                twice, but after the second smallest digit, that is 2.         extreme left while
                                                                                               forming a number,
                                So, the smallest 4-digit number formed with the                because 0 on the left has

                                given digits is 2003.                                          no value. As, 0002 = 2.

                  20                                                                                    Mathematics-3

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