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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 __________

                  exPaNDeD Form oF a Number

                  Expanded form of a number means expressing the given number as the sum of  the place
                  value of its each digit.

                  example:       th H t O
                                 4 5 8 9
                                                 9 ones = 9 × 1 = 9                       Expanded form of 4589 is

                                                 8 tens = 8 × 10 = 80                     4000 + 500 + 80 + 9.
                                                 5 hundreds = 5 × 100 = 500
                                                 4 thousands = 4 × 1000 = 4000

                  short Form

                  When we write a number using digits (0, 1, 2, 3, ..., 9), keeping in mind its place value,
                  the number is said to be in short form.
                  example:  7000 + 500 + 80 + 4 = 7 × 1000 + 5 × 100 + 8 × 10 + 4 × 1

                                 = 7 thousands + 5 hundreds + 8 tens + 4 ones               7584 = 7000 + 500 + 80 + 4

                                 = 7584                                                     Short          Expanded

                                                                                            form             form
                           Practice time 1b

                  1.  In the given numbers, write the place value of each digit in blank boxes.

                       (a)    6 3 2 9                    (b) 1 5 0 8                     (c)   4 9 8 0

                  2.  Write the face value and the place value of the underlined digits.

                       (a)  1234                        (b)  7851                        (c)  9802
                            Face value: _______              Face value: _______              Face value: _______

                            Place value: _______             Place value: _______             Place value: _______

                  3.  Fill in the blanks.

                       (a)  6,375 = 6,000 + _____ + 70 + _____
                       (b)  5,082 = ______ + 0 + _____ + 2

                       (c)  8,421 = 8 thousands + _____ hundreds + _____ tens + 1 one

                       (d)  4,095 = ___ thousands + ____ hundreds + 9 tens + ____ ones

                  14                                                                                    Mathematics-3

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