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              \\November 3, 2023 10:57 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                5.  Find the product of the following by regrouping the terms.
                    (a)  250 × 8 × 100               (b)  5 × 195 × 20               (c)  1550 × 50 × 2

                    (d)  400 × 25 × 4                (e)  4365 × 20 × 5               (f)  10 × 3364 × 10
                    (g)  50 × 1000 × 2               (h)  4 × 6666 × 25               (i)  2005 × 50 × 20
                6.  Solve the following word problems:

                    (a)  The cost of a ceiling fan is `3199. What will be the cost of such 150 ceiling fans?
                    (b)  In a factory 27,628 items are produced every day. How many items will be produced
                        in one year and 2 weeks?

                    (c)  A milk dairy supplies 1250 litres of milk daily. How much milk does it supply in a
                        leap year?

                    (d)  A box contains 150 toys. 4500 boxes were brought to a market on a particular day.
                        Find the total number of toys brought to the market on that day.

                    (e)  If a ‘Mother-Dairy’ booth sells 1258 litres of milk in a day, how much milk will it
                        sold in the month of December? If a litre of milk costs `48, what will be the cost
                        of total milk sold in December?
                    (f)  What is the product of largest 5-digit number and smallest 3-digit number.

                    (g)  The odometer of  car shows 11152 km. How many hundred metres is in the
                        reading?

              DIVISION OF NUMBERS


              Division by 10, 100 and 1000
                  Š When a number is divided by 10, the ones digit of the dividend becomes the remainder
                  and the number formed by the rest of the digits becomes the quotient.

                  Example: (a) 56738 ÷ 10, Q = 5673, R = 8                (b) 270364 ÷ 10, Q = 27036, R = 4
                  Š When a number is divided by 100, the number formed by tens and ones digits of the
                  dividend  becomes the  remainder  and  the  number  formed by the  rest  of the  digits
                  becomes the quotient.

                  Example: (a) 41036 ÷ 100, Q = 410, R = 36 (b) 521483 ÷ 100, Q = 5214, R = 83
                  Š When  a number  is  divided  by 1000,  the  number  formed by hundreds,  tens  and  ones
                  digits  of  the  dividend  becomes  the remainder and  the number  formed by the rest of
                  the digits becomes the quotient.
                  Example: (a) 69273 ÷ 1000, Q = 69, R = 273              (b) 500436 ÷ 1000, Q = 500, R = 436


              Division of Large Numbers
                                                                                         Knowledge Desk
              Let us recall the terms related to division:                            The symbol for '÷' called

              The number which is to be divided is called the dividend. The           'obelus' was first used in 1659
              number by which the dividend is divided is called the divisor.          by the Swiss mathematician
                                                                                      Johann Heinrich Rahn in his
              The result of division is called the quotient (Q).                      work– Teutsche Algebra.


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