Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 21 - Math_Genius_V1.0_C3_Flipbook
P. 21

    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_01
                 \ 11-Sep-2024  Surender Prajapati   Proof-4                                  Reader’s Sign _______________________ Date __________

                  FormiNg the greatest aND smallest Numbers

                  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

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

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

                       (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.

                  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

                  Mathematics-3                                                                                          19

| 16 17 18 19 20 21 22 23 24 25 26 |