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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 __________

                  5.  Write the numbers for the following number names.

                       (a)  Two thousand one hundred sixty-eight                               ___________________

                       (b)  Four thousand ninety-nine                                         ___________________
                       (c)  Six thousand four hundred eleven                                  ___________________

                       (d)  Five thousand six hundred                                         ___________________

                  FaCe Value aND PlaCe Value

                  The face value of a digit is the value of the digit itself.

                  The place value of a digit in a number is the value of the digit by virtue of its place.

                  It is obtained by finding the product of the face value of the digit and the value of its
                  corresponding place in the number.

                  example: In number 2176.

                  Face value                 Place value
                    th H t O                 th H t O
                     2 1 7 6                  2 1 7 6
                                    6                        6 ones = 6 × 1 = 6
                                    7                        7 tens = 7 × 10 = 70
                                    1                        1 hundred = 1 × 100 = 100
                                    2                        2 hundreds = 2 × 1000 = 2000

                  example 1: Write the place value of 7 in the given set of numbers: 7; 78; 789 and 7893.
                  Solution:

                                 th H      t   O        Place value of 7                                  Note
                                                7       7 ones or 7                               As a number moves
                                           7    8       7 tens or 70                              towards left, its
                                       7   8    9       7 hundreds or 700                         place value keeps on

                                          7  8  9  3    7 thousands or 7000                       increasing by 10 times.

                  example 2: Find the face value and the place value of each
                                                                                                      Remember
                  digit in 9409.                                                                 Place value of 0 is
                  Solution:      th H t O                                                        always 0.

                                 9 4 0 9        Face value            Place value
                                                      9           9 ones = 9 × 1 = 9
                                                      0           0 tens = 0 × 10 = 0

                                                      4           4 hundreds = 4 × 100 = 400
                                                      9           9 thousands = 9 × 1000 = 9000

                  Mathematics-3                                                                                          13

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