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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 __________





              greatest aND smallest Numbers

              Let us find the greatest number among 7,839; 999 and 5,326.                            th H      t   O
              Step 1: Arrange the numbers in the place value chart.                                   7    8   3    9

              Step 2: Cross the smallest number (999) from the group.                                      9   9    9
                                                                                                      5    3   2    6
                                                 7,839          999          5,326
              Step 3: Out of the remaining two numbers, compare which is the greater number. In this

                       case, 7,839 is greater than 5,326.
              Step 4: Thus, 7839 is the greatest number among 7,839; 999 and 5,326.
              example 1: Find the greatest number among 4,562; 1,234 and 2,076.

              Solution:  Step 1: Arrange the numbers in the place value chart.                       th H      t   O
                           Step 2: Cross the smallest number (1,234) from the group.
                                                                                                      4    5   6    2
                                      4,562          1,234         2,076                              1    2   3    4

                           Step 3:  Out of the remaining two numbers, compare which                   2    0   7    6
                                      is the greater number. In this case, 4,562 is greater than 2,076.
                           Step 4: Thus, 4,562 is the greatest number among 4,562; 1,234 and 2,076.

              example 2: Find the smallest number among 4,215; 6,738 and 9,831.

              Solution:  Step 1: Arrange the numbers in the place value chart.
                           Step 2: Cross the greatest number (9831) from the group.                  th H      t   O
                                                                                                      4    2   1    5
                                       4,215         6,738         9,831                              6    7   3    8

                           Step 3:  Out of the remaining two numbers, compare which  9                     8   3    1
                                      is the greater number. In this case, 6,738 is greater
                                      than 4,215 or you may say 4,215 is smaller than 6,738.
                           Step 4: Thus, 4,215 is the smallest number among 4,215; 6,738 and 9,831.


              orDeriNg oF Numbers


              We arrange the numbers in increasing order, that is, from the smallest to the greatest; it is
              called ascending order. Ritvik noted down the numbers from the number plates of four cars.
              The numbers are 2,937, 6,543, 1,359 and 5,023.                                  th H t O

              He wants to arrange the numbers in a particular order.                          2 9 3 7

              First, he writes the given numbers in the place value chart and                 6 5 4 3         Greatest
                                                                                              1 3 5 9
                                                                                                              Smallest
              then starts comparing.                                                          5 0 2 3
              Looking at the thousands place digits, 2, 6, 1 and 5; he finds that 1 < 2 < 5 < 6.

              Thus, the four numbers in ascending order will be arranged as:
                     1,359 < 2,937 <  5,023 < 6,543




              Mathematics-3                                                                                          17
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