Friday, 27 February 2015

DECIMAL FRACTIONS - EXERCISE 3 (SOLUTION 31 TO 40)

31.  2 x 5 = 10. Sum of decimal places = 4.

                    0.002 x 0.5 = 0.00010 = 0.001.

32.  1602 x 1 = 1602. Sum of decimal places = 5.

               16.02 x 0.5 = 0.0010 = 0.001.

33.  14 x 14 = 196. Sum of decimal places = 6.

                            0.0014 x 0.001 = 0.000196.

34.  4083 x 102 x 12 = 4997592. Sum o decimal places = 5.

                         40.83 x 1.02 x 1.2 = 49.97592.

35.  4 x 162 = 648. Sum of decimal places = 6.

                          0.04 x 0.0162 ==.000648 = 6.48 x 10⁻⁴

36.   3 x 3 x 3 x 3 x 30= 2430. Sum of decimal places = 6.

                      3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243.

37.  Sum of decimal places = 7.

                        Since the last digit to the extreme right will be zero (5 x 4 = 20), so there will be                                          6                 significant digits to the right of the decimal point.

38.   (.00625 of 23/6) = (625/100000 x 23/5) = 23/800.

39.  Given product = 0.3 x 0.25 x 0.5 x 0.125 x 24

                    = (3.10 x 25/100 x 5/10 x 125/1000 x 24) = 9/80 = 1/8


40.  1.36839 / 17 = 2167. Dividend contains 2 places of decimal.
                           368. 39 / 17 = 21.67.

2.       17050 / 62 = 275. Dividend contains 2 places of decimal.
               170.50/62 = 2.75.

         3.87565 / 83 = 1055. Dividend contains 2 places of  decimal 


                875.65 / 83 = 10.55.

               Since 21.67 > 10.55>2.75, the desired order is 1, 3, 2.                

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