EXAMPLE
2
Write Numbers in Scientific Notation
Write the number in scientific notation.
a. 34,000
b. 1.78
c. 0.0007
Solution
a. 34,000 3.4 104
Move decimal point 4 places to the left.
b. 1.78 1.78 100
Move decimal place 0 places.
c. 0.0007 7 104
Move decimal point 4 places to the right.
Write Numbers in Scientific Notation
Write the number in scientific notation.
7. 423
EXAMPLE
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INT
3
9. 0.0001
10. 0.0098
Operations with Scientific Notation
Perform the indicated operation. Write the result in scientific notation.
MORE EXAMPLES
NE
ER T
8. 2,000,000
a. (1.4 104)(7.6 103)
(1.4 p 7.6) (104 p 103)
Use properties of multiplication.
10.64 107
Use product of powers property.
(1.064 10 ) 10
Write in scientific notation.
1.064 108
Use product of powers property.
1
7
1.2 101
1.2
101
b. 4
4.8
4.8 10
104
Write as a product.
0.25 103
Use quotient of powers property.
(2.5 101) 103
Write in scientific notation.
2.5 10
Use product of powers property.
2
c. (4 102)3 43 (102)3
6
64 10
Use power of a product property.
Use power of a power property.
(6.4 101) 106
5
6.4 10
Write in scientific notation.
Use product of powers property.
Operations with Scientific Notation
Perform the indicated operation. Write the result in scientific notation.
11. (2.3 103)(1.8 105)
470
Chapter 8
Exponents and Exponential Functions
5.2 103
12. 1
1.3 10
13. (5 104)2