Download Exponential Notation

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.
1.
(6.54 x 10-3) + (2.75 x 10 –2) =
__________
2.
(8.7 x 1011) + (2.75 x 10 12) =
__________
3.
(3.56  10 3 )  (8.61  10 4 ) 
__________
4.
(9.06  10 13 )  (4.64  10 5 ) 
__________
5.
(1.92  10 2 )  (3.98  10 3 )

1.02  10 4
__________
6.
(6.12  10 4 )  (2.08  10 2 )

6.45  10 2
__________
Application of Exponential Notation
Show your work on the following problems.
1. One liter is equal to 0.624 gallon. If you have 2.000 x 103 cm3 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 =
__________
3.
45.36  4.8

1.7
__________
4.
68.16  42.58

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
1.
5 x 10 3
__________
2.
7 x 10 -4
__________
3.
2.89 x 10 6
__________
4.
5.479 x 10 -5
__________
5.
9.9 x 10 -9
__________
6.
9.99 x 10 9
__________