Page 15 - Math Skill - 5
P. 15

Large Numbers                                                                                           13


        Different Ways of Expressing Numbers
        Numbers can be expressed in several ways. We can write the numbers in words, in numerals
        and in expanded notations. Expanded notation means expressing a number as the sum of the
        place values of its digits.

         Standard form                     75638

         Expanded form                     70000 + 5000 + 600 + 30 + 8
         Expanded form in words            7 ten thousands + 5 thousands + 6 hundreds + 3 tens + 8 ones



               Let’s Attempt

        Example:       Write the number 6,59,82,937 in its expanded form.
        Solution:      The expanded notation for the number 6,59,82,937 is

                       6,00,00,000 + 50,00,000 + 9,00,000 + 80,000 + 2,000 + 900 + 30 + 7



                                                   Exercise 1.3

          1. Write the face value and place value of the circled digits in the following numbers.

              (a)   6 5,42,173                   (b) 5 4 ,37,951                  (c) 42,5 6 ,159
          2. Write the place value of 7 in the following numbers.

              (a)  9,81,45,217                   (b) 5,21,17,131                  (c) 4,13,74,121
          3. Write the following numbers in the expanded form.

              (a)  3,82,865                      (b) 78,365                       (c) 12,05,73,471
          4. Write the numerals in the short form or standard form.
              (a)  70,00,000 + 2,00,000 + 800 + 10 + 6
              (b)  40,00,000 + 7,00,000 + 30,000 + 4,000 + 800 + 20 + 5
              (c)  3,00,00,000 + 70,00,000 + 9,00,000 + 80,000 + 6,000 + 800 + 90 + 7

        Successor and Predecessor

        Successor

        A number which comes just after the given number in order is called the successor of that
        number. Successor of a number is obtained by adding 1 to the given number.

        For example, we find the successor of 72, 897 is follows: 72,897 + 1 = 72,898
        Thus, successor of 72,897 is 72, 898

        Predecessor

        A number which comes just before the given number in order is called the predecessor of that
        number. Predecessor of a number is obtained by subtracting 1 from the given number.
        For example, we find the predecessor of 6,56,23,261 as follows:

                            6,56,23,261 – 1 = 6,56,23,260
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