Page 23 - ICSE Math 6
P. 23

Operations on Large Numbers

                    In previous classes, we have solved many problems involving addition, subtraction, multiplication
                    and division. Let’s solve some more problems based on these operations.

                    Example 11:  Last month, Royal bookstore sold books worth ` 3,85,891 in the first week and worth
                                  ` 4,00,768 in the second week. How much was the sale for the two weeks together? In
                                  which week was the sale greater and by how much?

                    Solution:     Sale during the first week = ` 3,85,891                                   ` 3,85,891
                                  Sale during the second week = ` 4,00,768                                + ` 4,00,768
                                  Total sale for the two weeks together = ` 3,85,891 + ` 4,00,768           ` 7,86,659
                                                                        = ` 7,86,659
                                  Therefore, the sale for two weeks together was ` 7,86,659.
                                  The extreme left digit of the number representing sale of the
                                  second week is greater than that of the first week. Therefore,            ` 4,00,768
                                  the sale in the second week is greater.                                 – ` 3,85,891
                                  In the second week, the sale is greater by = ` 4,00,768 – ` 3,85,891        ` 14,877
                                                                            = ` 14,877
                    Example 12: On an average, a machine manufactures 3,215 screws in a day. How many screws will
                                  it produce in the month of January?
                                                                                                                 3,215
                    Solution:     Average number of screws machine manufactures in a day = 3,215             ×      31

                                  Number of days in the month of January = 31                                    3,215
                                  Number of screws machine will produce in the month of January              + 9,645X
                                                               = 3,215 × 31 = 99,665                            99,665
                                  Therefore, the number of screws machine will produce in the month
                                  of January is 99,665.
                    Example 13: To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can
                                  be stitched and how much cloth will remain?
                    Solution:     Cloth required to stitch a shirt = 2 m 15 cm = 215 cm   ( 1 m = 100 cm)
                                  Total cloth available for stitching shirts = 40 m
                                                            = 4,000 cm                                   215  4,000 18
                                  Number of shirts that can be stitched                                     –  215
                                                                                                              1,850
                                                        = 4,000 cm ÷ 215 cm                                 – 1,720

                                  Since the quotient is 18 and the remainder is 130 therefore, 18               130
                                  shirts can be stitched and 130 cm or 1 m 30 cm cloth will remain.

                                                              EXERCISE 1.3

                      1.  A businessman earned a profit of ` 2,34,561 in the month of January, ` 1,95,467 in the month of
                        February and ` 3,44,560 in the month of March. How much profit did he earn in these months?
                      2.  The population of a city is 30,54,678. If the number of males in the city is 17,11,987, find the
                        number of females in the city.
                      3.  There was a stock of 2,75,67,890 sacks of wheat in a godown of Food Corporation of India (FCI).
                        The FCI sent 87,89,045 and 96,73,500 sacks of wheat to Odisha and Assam respectively. What is
                        the remaining stock with FCI?


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