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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 __________

                  same Number of Digits

                  Let us compare the two 4-digit numbers. Compare the thousands digits first. The number
                  with a greater digit at the thousands place is greater.

                  example 2: Compare: (a) 7,120 and 6,585                   (b) 6,182 and 8,115
                  Solution:       th H      t   O                                th H      t   O

                                   7   1    2   0                                 6   1    8   2
                                   6   5    8   5                                 8   1    1   5

                                 Since, 7 > 6                                     Since, 6 < 8
                                 So, 7,120 > 6,585                                 So, 6,182 < 8,115

                  If the thousands digits are the same, then compare the hundreds digits.

                  The number with a greater digit at the hundreds place is greater.
                  example 3: Compare: (a) 6,855 and 6,321                   (b) 7,182 and 7,298
                  Solution:              th H      t   O                                 th H      t   O

                                          6   8    5   5                                  7   1    8   2
                                          6   3    2   1                                  7   2    9   8
                                 Same              8 > 3                        Same               1 < 2
                                 So, 6,855 > 6,321                                 So, 7,182 < 7,298

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

                  example 4: Compare: (a) 4,729 and 4,716                     (b)  9,126 and 9,198
                  Solution:       th H      t    O                               th H      t   O

                                   4    7   2    9                                9   1    2   6
                                   4    7   1    6                                9   1    9   8
                                   Same           2 > 1                           Same          2 < 9

                                 So, 4,729 > 4,716                                So, 9,126 < 9,198
                  If all other digits except ones are the same, then compare the ones digits. The number
                  with a greater digit at the ones place is greater.

                  example 5: Compare: (a) 9,115 and 9,118                   (b) 3,229 and 3,224
                  Solution:        th H      t   O                               th H      t    O

                                    9   1    1   5                                3    2   2    9
                                    9   1    1   8                                3    2   2    4

                                     Same              5 < 8                         Same              9 > 4
                                 So, 9,115 < 9,118                                So, 3,229 > 3,224

                  16                                                                                    Mathematics-3

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