Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 26 - Math_Genius_V1.0_C2_Flipbook
P. 26

    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_01
                   \ 29-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  example: Arrange the numbers 250, 168, 900, 525 in descending order.

                  Solution: All the given numbers are of 3-digits. So, we compare the                           H T O

                               digits at hundreds place first.                                                  2 5 0

                               We see that 9 > 5 > 2 > 1                                                        1 6 8
                               So, the descending order of numbers is                                           9 0 0

                               900 > 525 > 250 > 168                                                            5 2 5

                  FORMatION OF tHE GREatESt aND SMaLLESt 3-DIGIt NUMBERS

                  Let us form the numbers using digits 3, 8 and 6.
                                                                                      H T O          H T O
                  Keeping 3 at hundreds place, we have two numbers  3 6 8  and  3 8 6.

                  Keeping 6 at hundreds place, we have two numbers  6 3 8  and  6 8 3.

                  Keeping 8 at hundreds place, we have two numbers  8 3 6  and  8 6 3.

                  Among the six numbers so formed, 368 is the smallest and 863 is the greatest number.

                  If we take a close look at these numbers, we                                      Note
                  observe that 368 has the digits in ascending order                  Zero is never placed in the highest

                  and 863 has the digits in descending order.                         place  while  forming  the  smallest
                                                                                      3-digit numbers. It is placed in the
                  Thus, we can say:                                                   second highest place.
                                                                                      For example, the smallest number
                  •  To form the greatest number, we arrange the                      formed using the digits 5, 8 and 0
                      given digits in descending order.                               is 508.
                                                                                      058  is  not  a  3-digit  number.  It
                  •  To form the smallest number, we arrange the                      is  actually  58,  which  is  a  2-digit
                                                                                      number.
                      given digits in ascending order.
                  example: Write all the 3-digit numbers that contain the digits 7, 2 and 5. Also, find

                  the smallest and the greatest number among these numbers and write their number

                  names.
                  Solution: 3-digit numbers that contain 7, 2 and 5 are: 725, 752, 527, 572, 257, 275.

                               Smallest number: 257               Two hundred fifty-seven

                               Greatest number: 752               Seven hundred fifty-two

                                                              Remember
                       987 is the greatest 3-digit number which has all three distinct digits in it and 102 is the
                       smallest 3-digit number which has all three distinct digits in it.

                  24                                                                                    Mathematics-2

| 21 22 23 24 25 26 27 28 29 30 31 |