Significant Figures and Exponential Notation Laboratory Exercise. Exercises Kaleigh Payne 1. Express the following numbers in exponential notation a. 620,000 ________6.2X105___________________ b. 500,000,000 ________5X108___________________ c. 0.000000542 ___5.42X10-7___________________ d. 678,234.00 ____6.78234X105___________________ e. 0.000477 ____4.77X10-4___________________ f. 0.005603 _____5.603X10-3__________________ g. 3,500.00 __________3.5X103_________________ h. 0.00000654 __________6.54X10-6_________________ i. 690.00 __________6.9X102_________________ j. 0.00000000007345 _____7.345X10-11_________________ 2. Do the following calculations. Show your work. 1. (5.391 107) + (2.5531 106) = 3.092X10-6 2. (9.18 104) (6.59 105) = 8.52X10-4 3. (3.25 103) ÷ (2.112 107) = 1.54X104 4. (3.432 104) × (2.4 103) = 8.2X10-7 5. (1.792 104) (9.451 103) = 0.8469X104 6. (9.6677 10-4) ÷ (7.991 105) = 1.210X10-9 7. (3.457 104) × (8.61 103) = 2.98X102 8. [(5.4342 106) + (6.4331 107)] ÷ [(5.788 102) (7.621 103)] = 1.209X10-4 3. Round off each of the following numbers to four significant figures. a. 345.35 _______345.4____________ b. 67.025 ______67.03_____________ c. 0.00042242 ______0.0004224_____________ d. 0.004379067 ______0.004379_____________ e. 347.2556 ______347.3_____________ f. 6.0698 ______6.07_____________ g. 7. 0531 ______7.053_____________ h. 0.00898493 ______0.008985_____________ 4. Complete the following calculations and express each result using the proper numbe 10.677 + 1.0375 + 34.32 + 2.0057 = 48.04 a. 5.788 65.034 = 376.4 b. = 8 r of significant figures. Show your work. a. (7.304 105) + (8.0056 104) = 0.0008736 b. c. 73.47 8.6843 = 64.79 d. (4.67655 103) + (8.679 × 104 = 91470 2