Page 16 - Fun with Mathematics 2
P. 16

COMPARISON OF NUMBERS

                    A number with less digits will                         A number with more digits
               l                                                        l
                   always be smaller than a                                 will always be greater than a
                   number with more digits.                                 number with less digits.

                             6  <  17                                                 81  >  8
                                        4
                                                                                      4
                            4 8  <  1 6                                             1 7  >  1      4
                                                                                                   4
                                        4
                                                                                    4
                            4
                          3 6  <  2 86                                            3 68  >  8 6
                    When both the numbers have an equal number of digits, start comparing
               l
                   from the left hand side.
                                                                           4
               Case 1: Start by comparing the digits  Case  : If the digits at the thousands,
                          on the left.                                        hundreds and tens place are

                           Th H  T  O      Th H  T  O                         the same, compare the digits
                           4
                                                    4
                              7  6  2      3    2  9                          at the ones place.
                                        4
                                          > 3                              a. Compare 7259 and 7256.
                                            4
                                4
                           So,  762 > 3 29                                     Th H  T O      Th H  T O
               Case 2: If the digits at the thousands                          7  2  5  9      7  2  5  6
                          place are the same, compare
                          the digits at the hundreds place.                                  Same

                           Th H  T  O      Th H  T O                                         Same
                                  4
                           3  9    1      3  8  5  2                                         Same
                                        Same                                                 9 > 6
                                        9 > 8                                  So, 7259 > 7256
                                   4
                           So, 39 1 > 3852                                 b. Compare 5369 and 5369.
               Case 3: If the digits at the thousands
                          and hundreds place are the                           Th H  T O      Th H  T O

                          same, compare the digits at                          5  3  6  9      5  3  6  9
                          the tens place.                                                    Same

                           Th H  T O      Th H  T O                                          Same
                           5  3  2  8      5  3  9  8                                        Same
                                       Same
                                       Same                                                  Same

                                       2 < 9                                   So, 5369 = 5369

                           So, 5328 < 5398
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