Scientific Notation Worksheet
Section 5.6
Name: _____________________________
Date: ___________________ Period: ____
Directions: Express the number in scientific notation.
1) 120,000
2) 9,751,000
3) 0.053
4) 0.00000561
5) 1,260,000,000
Directions: Express the number in decimal notation.
6) 8.2 × 104
7) 2.71 × 10−3
9) 4.67 × 108
10) 3.12 × 10−11
8) 2.746 × 10−7
Directions: Perform the indicated operation. Final answers should be in scientific notation.
11) (1.6 × 10−2 )(4 × 10−3 )
13)
15)
(6.4×105 )
(2 ×103 )
(25 ×108 )
(100 × 1010 )
12) (5.13 × 108 )(3.7 × 10−4 )
14)
(8.9 × 10−6 )
(2 × 10−3 )
16) (4 × 102 )(2 × 105 )
Directions: Convert the decimals into scientific notation. Then perform the indicated operation.
Finally, convert final answers back to decimal notation.
17) (700,000) (6,000,000)
19)
150,000
0.0005
18) (0.003) (0.00015)
0.0012
20) 0.000006
21) In January 2010, the national debt of the United States was about $1.22 × 1013 which is about
about $12.2 trillion). If the U.S population at that time was 308 million, each citizen actually owed:
(1.22×1013 )
(3.08 × 108 )
.
How much money is that per person? Approximate the answer to the nearest cent.
22) The average American eats 80 pounds of vegetables each year. Since there are about 312 million
Americas, the number of pounds of vegetables consumed each year should be
(8 × 101 ) × (3.12 × 108 ). Simplify this expression and write in scientific notation AND decimal
notation.