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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\04_Chapter_3\Chapter_3
                 \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





                Large Numbers


                India developed a unique number system with ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) that has a positional

                value system. It was later adopted across the world.

                  Mom, Indians are said to                                                            Yes, it is true that
                  have discovered a number                                                            Indians could write
                   pattern with a positional                                                         numbers much larger
                  value system, but how the
                 numbers were named earlier?                                                         than we could think
                                                                                                     of. In Yajurveda, the
                                                                                                      number Parardha
                                                                                                     means 1 followed by
                                                                                                     12 zeros; while in the
                                                                                                     Valmiki Ramayana, 1
                                                                                                     Mahaugh equals 1
                                                                                                     followed by 55 zeros.
                                                                                                      In the Jain religion,
                                                                                                      Anuyogdwar book
                                                                                                     mentions the multiple
                                                                                                       of 2 as many as
                                                                                                      96 times. Such big
                                                                                                     numbers shows how
                                                                                                      our ancient people
                                                                                                       were capable of
                                                                                                     doing mathematical
                                                                                                        operations on
                                                                                                          numbers.

                We know that numbers are endless. By adding 1 to a number, we get the next number. In the

                previous class, we have studied numbers up to 6 digits.

                The numbers from 1–9 are one-digit numbers. There are 9 one-digit numbers.

                The numbers from 10–99 are two-digit numbers. There are 90 two-digit numbers.

                The numbers from 100–999 are three-digit numbers. There are 900 three-digit numbers.

                Can you say how many four-digit, five-digit and six-digit numbers are there?

                Now, let us discuss about the bigger numbers.

                Look at the table to understand how large numbers can be obtained.
                         Greatest Number            Adding 1 gives the next number            Smallest Number

                    The greatest 6-digit number           999999 + 1 = 1000000           The smallest 7-digit number
                            i.e., 999999                                                         i.e., 1000000
                    The greatest 7-digit number          9999999 + 1 = 10000000          The smallest 8-digit number
                           i.e., 9999999                                                        i.e., 10000000
                   The greatest 8-digit number          99999999 + 1 = 100000000         The smallest 9-digit number
                           i.e., 99999999                                                       i.e., 100000000


                                                                   75                                        Number Play
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