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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  107) + (2.5531  106) = 3.092X10-6
2. (9.18  104)  (6.59  105) = 8.52X10-4
3.
(3.25  103) ÷ (2.112 107) = 1.54X104
4. (3.432  104) × (2.4 103) = 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  103) = 2.98X102
8. [(5.4342  106) + (6.4331  107)] ÷ [(5.788  102)  (7.621  103)] = 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  105) + (8.0056  104) = 0.0008736
b.
c. 73.47  8.6843 = 64.79
d.
(4.67655  103) + (8.679 × 104 =
91470
2
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