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    Example 2. Find the place value of each digit in 9459.

                    Solution.  Th H        T O

                                  9    4   5   9

                                                   Ones place
                                                   Place value  = 9 ones = 9 × 1 = 9

                                                   Tens place
                                                   Place value  = 5 tens = 5 × 10 = 50
                                                   Hundreds place
                                                   Place value  = 4 hundreds = 4 × 100 = 400

                                                   Thousands place
                                                   Place value  = 9 thousands = 9 × 1000 = 9000

                    Example 3. Find the place value of the coloured digits.

                                 a.  4627                                     b.  9702

                    Solution.  a.     Th H     T O                            b.   Th H      T O

                                      4    6   2    7                               9   7    0   2

                                     Place Value                                  Place Value

                                     6 hundreds = 600                             9 thousands = 9000

                    Expanded Form

                                                                                                          Tips
                    When we write a number as the sum of the
                    place values of its digits, the number is said

                    to be in expanded form.                                    As we move to the left, the digit’s place
                                                                               value increases 10 times.
                    Example 4. Write the expanded form of 5736.
                                                                                 Th H      T   O    Place Value of 6

                    Solution.  Th H        T O                                                 6                     6

                                  5    7   3   6   Place Value                             6   5                    60

                                                   6 ones or 6                        6    5   3                  600

                                                   3 tens or 30                   6   5    3   2                6000
                                               7 hundreds or 700

                                               5 thousands or 5000                                   5736 is the
                                                                                                     short form.
                    Expanded form = 5 thousands + 7 hundreds + 3 tens + 6 ones

                                        = 5000 + 700 + 30 + 6

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