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Page 22 - Touchpad Mathematics_Ver1.0_C4
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    Different Number of Digits

                The number with more digits is always greater.

                Example 1. Compare 6412 and 986.

                Solution.  Th H         T O                                         Keep in Mind

                              6    4    1   2            4 digits                       > means greater than
                                                                                        < means less than
                                   9   8    6            3 digits
                                                                                        = means equal to

                             So, 6412 > 986.                                    Greater number > Smaller number

                Same Number of Digits                                           Smaller number < Greater number

                   Compare the thousands digits first.

                The number with the greater digit in the thousands place is greater.

                Example 2. Compare:

                             a.  5113 and 4625                             b.  3032 and 4985

                Solution.  a.  Th H         T O                            b. Th H       T O
                                   5   1    1   3                               3    0   3    2

                                   4   6    2   5                               4    9   8    5

                                 5000 > 4000                                   3000 < 4000

                                 So, 5113 > 4625.                              So, 3032 < 4985.
                   If the thousands digits are the same, then compare the hundreds digits.

                The number with the greater digit in the hundreds place is greater.

                Example 3. Compare:
                             a.  4829 and 4635                             b.  7359 and 7428

                Solution.  a.              Th H      T O                   b.            Th H     T O

                                            4    8   2   9                                7   3   5    9

                                            4    6   3    5                               7   4   2    8

                                 Same                 800 > 600                Same                 300 < 400
                                 So, 4829 > 4635.                              So, 7359 < 7428.

                    If the thousands digits and hundreds digits are the same, then compare the tens
                   digits. The number with the greater digit in the tens place is greater.

                       20        Mathematics 3

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