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Page 20 - Math Genius C2
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    E:\Working\Orange_Education\Math_Genius_2\Open_Files\Chap_01
                   \ 26-Sep-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________

                  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 value of each digit changes when their positions change in
                  the two numbers 367 and 736.

                  Face Value                                                                    Get it right!

                  The face value of a digit in any number is the digit                      The place value of 2 in

                  itself. The face value of a digit always remains the same                 208 is 100 because 2 is

                  irrespective of its position in the number.                               in the hundreds place. 7
                                                                                            The place value  of 2
                  Consider the number 186.                                                  in  208 is 2 hundreds
                                                                                            or 200.                    3
                    1   8   6
                                  Face value of 6 is 6.                                          Math Insight
                                    Face value of 8 is 8.                                 The place value and the face
                                     Face value of 1 is 1.                                value of a digit in the ones
                                                                                          place are always equal.

                          Fast Check                                                                            Logical Thinking

                        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 the same place value 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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