Using Prefixes and Scientific Notation – Additional Exercises 1. Calculate the result and write it -­‐ in scientific notation -­‐ with a suitable prefix a) 9 x 104 x 4 x 103 = 3.6 x 108 (= 360 x 106) = 360 M (Brackets added to show the method. Once you get it you don’t need to add that step anymore.) b) 2 x 1015 x 2.5 x 10-­‐4 = 5 x 1011 = 500 G c) 15 x 1012 x 7 x 10-­‐3 = 1.05 x 107 = 10.5 M d) 12 x 10-­‐7 x 115 x 10-­‐5 = 1.38 x 10-­‐10 = 13.8 G e) 12.2 x 10-­‐5 x 10.1 x 103 = 1.2322 x 100 = 1.2322 2. Convert the following units (from big units to small units): Original unit New unit Scientific notation a. 3 MW 3 x 109 mW 3 x 106 W b. 14 EW 14 x 1021 μW 1.4 x 1016 W c. 77.4 mV 77.4 x 106 nV 7.74 x 10-­‐2 V d. 344 mm 344 x 10-­‐3 μm 3.44 x 10-­‐1 m e. 67.3 km 67.3 x 1012 nm 6.73 x 104 m f. 532 x 1018 pW 5.32 x 108 W 532 MW 3. Convert the following units (from small units to big units): Original unit New unit Scientific notation a. 144 nF 144 x 10-­‐6 mF 1.44 x 10-­‐7 F b. 1.73 nF 1.73 x 10-­‐3 μF 1.73 x 10-­‐9 F c. 46 mW 46 x 10-­‐15 TW 4.6 x 10-­‐2 W d. 763 μm 763 x 10-­‐9 km 7.63 x 10-­‐4 m 47 x 10-­‐15 m 4.7 x 10-­‐14 m 567.4 x 10-­‐4 cm 5.674 x 10-­‐4 m e. 47 fm f. 567.4 μm