DECIMAL FRACTIONS - EXERCISE 3 (SOLUTION 21 TO 30)

21.  Given expression = (12.1212 + 17.0005) -9.1102 = (29.1217 – 9.1102) = 20.0115.

22.  Given expression = 892.7 – (573.07 +95.007) =892.7 – 668.077 = 224. 623.

23.  Let 3889 + 12.952 – X = 3854.002.

                   Then X = (3889 + 12.952) – 3854.002 = 3901.952 – 3854. 002 = 47.95.

24.    Let 138.009 + 341. 981 ) – 146.305=123.6 + X.

                     Then, X = (138.009 + 341.981) – (146.305 + 123.6)= 479.99 – 269.905 = 210.085.

25.  Let 832.58 – 242.31 = 779.84 –X .

                      Then, X = (779.84 + 242.31) – 832.58 = 1022.15 – 832.58 = 189.57.

26.  Let X + 542 + 5.43 = 603.26. then, X = 603.26 – (543 + 5.43 ) =603.26 – 548.43 = 54.83.

                         Missing digit = 8.

27.  3.14 x 10⁶ = 3.140000 x 1000000 = 3140000.

28.  518.000,000 = 5.18 x 100000000 = 5.18 x 10⁸.

29.  0.000006723 = 0.000006723 x 10⁶/10⁶ = 6.723 x 10⁻⁶.

30.  10 k = 0.001125/1.125 = 1.125/1125 = 1.125 x 10³/1125 x 10³ = 1/10³ = 10⁻³.

                      K=-3.

DECIMAL FRACTIONS - EXERCISE 3 (SOLUTION 11 TO 20)

1 1.      3/4 = 0.75, 5/6 = 0.833, 1/2 = 0.5, 2/3 = 0.66, 4/5 – 0.8, 9/10 – 0.9.

                         Clearly, 0.8 lies b between o.75 and 0.833.

                           4/5 lies between 3/4 and 5/6.

12.      7/8 = 0.975, 1/3 = 0.333, ¼ = 0.25, 23/24 = 0.958, 11/12 = 0.916 17/24 =0.708.

                             Clearly, 0.708 lies between 0.333 and 0.875.

                            17/24 lies between 1/3 and 7/8.

13.      4/5 = 0.8, 7/13 = 0.53, ½ = ½ = 0.5, 2/3 = 0.66, ¾ = 0.75, 5/7 = 0.714,

                  Clearly, 0.5 does not the between 0.53 and 0.8.

                  1/2 does not lie between 4/5 and 7/13.

14.      -7/10 = -0.7, 5/-8 = -5/8 = -0.625, 2/-3 = -2/3= -0.66.

                            Since – 0.7 < - 0.66< - 0.625, So -7/10 < 2/-3 < 5/-8.

15.       337.62

                               8.591

                            + 34.4

                             380.611

16.      1.0

                              0.1

                            0.01

                          0.001

 

                          1.111

 

17.           34.95

                      2240.016

                    +    23.98

                                   298.9446

18.      617.00

                                6.017

                                0.617

                              6.0017

                            629.6357

19.       48.950

                             

                              -    32.006

                                  16.944

20.      792.02

                        +101.32

                         893.34

                              893.34

 

               893.34

                       -  306.76

                        586.58