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    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_01
                   \ 29-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  PLaCE VaLUE aND FaCE VaLUE

                  Place Value

                  Place value of a digit in a number depends upon its place or position in the number.

                  Look at the numbers shown on the abacus.

                      H      T      O                                      H      T      O
                      3      6      7      digit    Place Value           7      3      6       digit    Place Value

                                             7   7 ones or 7                                     6    6 ones or 6
                                             6   6 tens or 60                                    3    3 tens or 30
                                             3   3 hundreds or 300                               7    7 hundreds or 700

                  Observe how the place values of each digit change when their positions change in

                  the two numbers 367 and 736.

                  Face Value                                                                    Get it right!

                  Face value of a digit in any number is the digit itself                     Place value of 2 in 208
                  irrespective of its position in the number. Face value                    is 100 because 2 is at

                  of a digit always remains the same.                                       the hundreds place.        7
                                                                                              Place value of 2 in 208
                  Consider the number 186.                                                  is 2 hundreds or 200. 3

                    1   8   6
                                  Face value of 6 is 6.                                          Remember
                                    Face value of 8 is 8.                                 The place value and the face
                                     Face value of 1 is 1.                                value of a digit placed at the
                                                                                          ones place is always equal.

                           Quick Check
                         1.  The place  value  and  face value  of 0  at  any place  in  any number  is
                            always 0. Is it true for other digits also?

                         2.  Which digit in the number 397 has its place value same as its face value?
                         3.  Write the place value and the face value of each digit in the following numbers.
                           (a)  520                        (b)  515                      (c)  307

                  18                                                                                    Mathematics-2

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