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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_01
              \\February 16, 2024 1:27 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74







                      Encapsulate
                  math
                                                       LArge NUMBerS


                           reading and Writing Numbers                                 Forming Numbers

               Indian Place Value System                                Forming Numbers without repetition
                   C  tL   L  tth th  H   t   O                         Largest number formed by 2, 4, 5, 7, 8 = 87542
                   7   4  3   6   7   4   3   2                         Smallest number formed by 3, 0, 7, 8, 2 = 20378
               It is read as: Seven crore forty-three lakh sixty-seven   Forming Numbers with repetition
               thousand four hundred thirty-two.                           Largest number          Smallest number
               International Place Value System                                th H t O               th H t O
                  HM   tM    M   Hth tth    th    H    t    O                  8 8 5 2                2 2 5 8
                   3    5    2    7     4    5    6    5    1
               It is read as: Three hundred fifty-two million seven     Repeating   Writing      Repeating  Writing the
               hundred forty-five thousand six hundred fifty-one        biggest     the other    smallest   other digits
                                                                        digit       digits in    digit      in ascending
                                                                                    descending              order
                             Face Value and Place Value                             order

                C tL L tth th H t O Face      Place
                4 2 5    7 5 9 8 5 value      value                                  rounding off Numbers
                                         5  5 × 1 = 5
                                         8   8 × 10 = 80                rounding off numbers to the nearest 10
                                         9  9 × 100 = 900                                      9 > 5, round up
                                         5  5 × 1000 = 5000                       1 0 1 0 9
                                         7  7 × 10000 = 70000
                                         5  5 × 100000 = 500000           Remain          Replace by 0
                                         2  2 × 1000000 = 2000000         unchanged       Increase by 1 or add 1 to 0
                                         4  4 × 10000000 = 40000000                       that is, 0 + 1 = 1
                                                                        Thus, 10109 is rounded off to the nearest tens as
                                                                        10110.
                           Successor and Predecessor

                The successor of 7893521
                    = 7893521 + 1 = 7893522
                The predecessor of 7893521                              rounding off numbers to the nearest 100
                                                                                           8 > 5, round up
                    = 7893521 – 1 = 7893520
                                                                              9 9 8 8 1
                                                                        Remain        Replace by 0
                     Comparing and Ordering Large Numbers               unchanged     Increase by 1 or add 1 to 8 that
                                                                                      is 8 + 1 = 9
                           C  tL   L  tth th   H   t  O                 Thus, 99881 is rounded off to the nearest
                           3   4   5   0   3   4   1   5                hundreds as 99900.
                           3   4   5   1   2   5   9   0
                             Same       0 < 1
                                            34503415 < 34512590
                                                                        rounding off numbers to the nearest 1000
                                                                                                  6 > 5, round up
                                                                                    7 3 6 6 5 6
                               roman Numerals
                                                                            Remain          Replace by 0
                                                                            unchanged       Increase by 1 or add 1 to
                roman Numeral          I  V  X   L   C   D   M                              6 that is 6 + 1 = 7

                Hindu-Arabic Numeral  1   5 10 50 100 500 1000          Thus, 736656 is rounded off to nearest thousands as
                                                                        737000.


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