Study Guide and Intervention (continued) - MathnMind

8-3
Products and Quotients with Scientific Notation You can use properties of
powers to compute with numbers written in scientific notation.
Evaluate (6.7 103 )(2 105 ). Express the result in scientific and
standard notation.
(6.7 103 )(2 105 ) (6.7 2)(103 105 ) Associative Property
13.4 102 Product of Powers
(1.34 101 ) 102 13.4 1.34 101 1.34 (101 102 ) Associative Property
1.34 101 Example 1
or 0.134 Product of Powers
The solution is 1.34 10 1 or 0.134.
Evaluate . Express the result in scientific and
standard notation.
Associative Property
0.368 103 Quotient of Powers
(3.68 101 ) 103 0.368 3.68 101 3.68 (101 103 ) Associative Property
3.68 102 10
or 368 Product of Powers
8
1.5088 10 1.5088
4.1 105 8
1.5088 10
4.1 105 8
Example 2
4.1 105 The solution is 3.68 10 2 or 368.
Exercises
NAME ______________________________________________ DATE ____________ PERIOD _____
Study Guide and Intervention (continued)
Scientific Notation
Evaluate. Express each result in scientific and standard notation.
1. 2. 3. (3.2 102 )(2.0 102 3 10
)
12
1.4 10
2 1015 4
2 102 4. 5. (7.7 105 )(2.1 102 9.72 10
) 6.
8
1.2672 10
7.2 10 10
8
2.4 1012 7. (3.3 105 )(1.5 104 4 10
) 8. 9.
4
3.3 10
2.5 102 12
1.1 1014 10. FUEL CONSUMPTION North America burned 4.5 10 16 BTU of petroleum in 1998.
At this rate, how many BTU’s will be burned in 9 years? Source: The New York Times 2001 Almanac
11. OIL PRODUCTION If the United States produced 6.25 10 9 barrels of crude oil in
1998, and Canada produced 1.98 10 9 barrels, what is the quotient of their production
rates? Write a statement using this quotient. Source: The New York Times 2001 Almanac
© Glencoe/McGraw-Hill 468 Glencoe Algebra 1