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E:\Working\Focus_Learning\Math_Genius_1_(05-10-2023)\Open_Files\06_Chap_6\Chap_6
               \ 11-Sep-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________





              PlAcE VAlUE                                                                tens Ones

                                                                                            7     8
              Let us think about the number 78. It has two digits 7 and 8.                                 Place Value
              In the number, digit 8 is at ones place, so its place value                                   8 ones = 8

              is 8 ones or 8 and digit 7 is at tens place, so its place value                               7 tens = 70
              is 7 tens or 70.
                                                                                                Note
              The place value of a digit depends upon its position                 The face value of a digit is the

              in a given number.                                                   value of the digit itself.

              ExPANdEd foRM ANd ShoRT foRM


                  Š When we write a number as a sum of place value of its digits, the number is said

                  to be in expanded form.                                                      24 is the short form
                  Š When we write a number using digits, the number is said                     of 2 tens + 4 ones

                  to be in short form.

                  65 = 6 tens + 5 ones or 60 + 5 is the expanded form of 65.
                  65 is the short form of the number sixty-five.

              Similarly,

                   (a) 68 = 6 tens + 8 ones = 60 + 8                    www
                                                                             MAths connect
                       68 is the short form.                             Name the bird that expands

                   (b) 35 = 3 tens + 5 ones = 30 + 5                     its feathers for dancing when it rains.

                       35 is the short form.                             Is this a special bird? Why?

                       Practice Time 6c



              1.  Write the place value of the highlighted digit in each number.
                   (a) 52 = ______         (b) 84 = ______           (c) 70 = ______         (d) 15 = ______

              2.   Write these numbers in the expanded form. One has been done for you.

                   (a) 47 = ___ + ___ (b) 73 = ___ + ___  (c) 34 = ___ + ___ (d) 75 = ___ + ___
                               40
                                       7
                   (e) 90 = ___ + ___  (f) 79 = ___ + ___  (g) 94 = ___ + ___ (h) 38 = ___ + ___

              3.   Write these numbers in the short form. One has been done for you.
                   (a) 3 tens + 4 ones =  34                        (b) 6 tens + 9 ones =


                   (c) 6 tens + 6 ones =                            (d) 5 tens + 5 ones =

                   (e) 9 tens + 8 ones =                             (f) 8 tens + 1 one  =



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