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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 __________

                  4.  Write the expanded form of the following.

                       (a)  3914 = _________________________________________________________
                       (b)  4590 = _________________________________________________________

                       (c)  2605 = _________________________________________________________
                       (d)  7002 = _________________________________________________________

                  5.  Write the short form of the following.

                       (a)  4000 + 800 + 30 + 2                                    = _________________________

                       (b)  7000 + 500 + 4                                         = _________________________

                       (c)  5 thousands + 6 hundreds + 1 ten + 7 ones              = _________________________

                       (d)  9 thousands + 6 tens + 3 ones                          = _________________________

                     www
                         MAths connect

                     The Taj Mahal is situated on the bank of the river Yamuna in Agra. It was built by the
                     Mughal emperor Shah Jahan in the memory of his wife, Mumtaz.

                     Use the following clues to find the year of its construction.

                          The place value of the digit at the thousands place is 1,000.

                          The face value of the digit at the hundreds place is 6.
                          The digit at the tens place is half of the digit at the hundreds
                          place.

                          The sum of all the digits in the year is 12.

                          Thus, the year of the construction is ____________.

                  ComPariNg Numbers

                  Different Number of Digits

                  The number with more digits is always greater.

                  example 1: Compare 6,412 and 986.                                        Remember

                  Solution:       th H     t    O                            '>' is the sign for "greater than" and
                                                                             '<' is the sign for "lesser than."
                                  6    4   1    2           4 digits         The crocodile’s mouth always open towards

                                       9   8    6           3 digits         the bigger number.

                        So, 6,412 > 986                                                6,451               245

                  Mathematics-3                                                                                          15

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