PHY101 Student Name _______________________Date ___________
Numbers in Exponential Notation
Significant Figures
Exponential Notation
a) Add, subtract, multiply, or divide the following numbers and express the answer in
scientific notation to correct number of significant figures.
-3 –2
1. (6.54 x 10 ) + (2.75 x 10 )= __________
11 12
2. (8.7 x 10 ) + (2.75 x 10 )= __________
3. (3.56 10 3 ) (8.61 10 4 ) __________
4. (9.06 10 13 ) (4.64 10 5 ) __________
(1.92 10 2 ) (3.98 10 3 )
5. __________
1.02 10 4
(6.12 10 4 ) (2.08 10 2 )
6. __________
6.45 10 2
Application of Exponential Notation
Show your work on the following problems.
3 3
1. One liter is equal to 0.624 gallon. If you have 2.000 x 10 cm of water, how many
gallons of water do you have?
__________
2. If you watch television for 1.75 hours a day in average, how many minutes per year
are you watching TV?
___________
Rounding the Numbers with Significant Figures
Round off each of the following numbers to the number of significant figures indicated:
Three significant Figures Four Significant Figures
1. 48.43 __________ __________
2. 4.698 __________ __________
3. 71.19487 __________ __________
4. 925.400 __________ __________
5. 745.21289 __________ __________
Perform indicated operation and give a final answer with the correct number of significant
figures.
1. 3.6 x 0.47 = __________
2. 0.2283 x 5.0 x 0.042 = __________
45.36 4.8
3. __________
1.7
68.16 42.58
4. __________
4.7 0.56
Perform indicated operation and give a final answer with the correct number of significant
figures.
1. 5.69 kg + 0.671 kg = _________
2. 8.2 L + 0.3871 L + 16.73 L = _________
3. 3054 m + 82.19 m + 432.3 m = _________
4. 563.276 g – 40.4 g = _________
5. 5.83 cm – 0.775 cm = __________
6. 98.34 km – 4 km = __________
Write the following numbers in scientific notation
1. 5,568,000 __________
2. 48,000 __________
3. 53.2 __________
4. 0.00063 __________
5. 0.000000000027 __________
6. 90,000,000,000 __________
Write the following numbers as ordinary numbers
3
1. 5 x 10 __________
-4
2. 7 x 10 __________
6
3. 2.89 x 10 __________
-5
4. 5.479 x 10 __________
-9
5. 9.9 x 10 __________
9
6. 9.99 x 10 __________