Scientific Notation Worksheets.pdf

Name Date Class
58
MATH HANDBOOK TRANSPARENCY WORKSHEET
Operations with Scientific
Notation
2
Use with Appendix B,
Operations with
Scientific Notation
1. Perform the following operations and express the answers in scientific notation.
a. (1.2 10 5 ) (5.35 10 6 )
(1.2 10 5 ) (5.35 10 6 ) (0.12 10 6 ) (5.35 10 6 ) (0.12 5.35) 10 6
5.47 10 6
b. (6.91 10 2 ) (2.4 10 3 )
(6.91 10 2 ) (2.4 10 3 ) (6.91 10 2 ) (0.24 10 2 )
(6.91 0.24) 10 2 7.15 10 2
c. (9.70 10 6 ) (8.3 10 5 )
(9.70 10 6 ) (8.3 10 5 ) (9.70 10 6 ) (0.83 10 6 ) (9.70 0.83) 10 6
10.53 10 6 1.053 10 7
d. (3.67 10 2 ) (1.6 10 1 )
(3.67 10 2 ) (1.6 10 1 ) (3.67 10 2 ) (0.16 10 2 ) (3.67 0.16) 10 2
3.51 10 2
e. (8.41 10 5 ) (7.9 10 6 )
(8.41 10 5 ) (7.9 10 6 ) (8.41 10 5 ) (0.79 10 5 )
(8.41 0.79) 10 5 7.62 10 5
f. (1.33 10 5 ) (4.9 10 4 )
(1.33 10 5 ) (4.9 10 4 ) (1.33 10 5 ) – (0.49 10 5 ) (1.33 – 0.49) 10 5
0.84 10 5 8.4 10 4
2. Perform the following operations and express the answers in scientific notation.
a. (4.3 10 8 ) (2.0 10 6 )
(4.3 10 8 ) (2.0 10 6 ) (4.3)(2.0) 10 8 6 8.6 10 14
b. (6.0 10 3 ) (1.5 10 2 )
(6.0 10 3 ) (1.5 10 2 ) (6.0)(1.5) 10 3 (2) 9.0 10 1
c. (1.5 10 2 ) (8.0 10 1 )
(1.5 10 2 ) (8.0 10 1 ) (1.5)(8.0) 10 2 (1) 12.00 10 3
1.2 10 2
d.
e.
f.
7.8 10 3
1.2 10
4
7.8 10 3 /1.2 10 4 7.8/1.2 10 3 4 6.5 10 1
8.1 10 2
9.0 10
2
8.1 10 2 /9.0 10 2 8.1/9.0 10 2 2 0.90 10 4 9.0 10 5
6.48 10 5
(2.4 10 4 )(1.8 10 2 )
6.48 10 5 /(2.4 10 4 )(1.8 10 2 ) 6.48/(2.4)(1.8) 10 5 4 (2) 1.5 10 3
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94 Chemistry: Matter and Change Math Handbook Transparency Worksheets