DATE
NAME
9-3
Student Edition
Pages 506–512
Study Guide
Scientific Notation
Scientists use scientific notation to express very large or very
small numbers. A number is expressed in scientific notation
when it is expressed as the product of a number between one
and ten, and a power of ten.
Example 2: 0.00391 5 3.91 3 1023
Example 1: 37,000 5 3.7 3 104
You can find products or quotients of numbers that are
expressed in scientific notation by following the rules for
multiplying and dividing monomials and powers.
8.4 3 10 8
8.4
108
Example 3: 4.2 3 10 5 5 4.2 3 105
5 2 3 103, or 2000
Example 4: (6700)(0.00002)
5 (6.7 3 10 3)(2 3 1025)
5 (6.7 3 2)(10 3 3 1025)
5 13.4 3 1022
5 1.34 3 1021, or 0.134
Express each number in scientific notation.
1. 0.0000456
2. 0.01
4. 640 3 10 5
3. 590,000,000
Evaluate. Express each result in scientific and standard notation.
1.4 3 104
3.3 3 10212
5. 0.2 3 102
6. 1.1 3 10214
8. (2 3 104)(4 3 1025)
9. (77 3 104)(0.02 3 103)
11. 250,000 4 0.0005
© Glencoe/McGraw-Hill
12. (0.00004)(20,000)
63
7.
0.000042
600
10. (3.2 3 1022)(2.0 3 102)
13. (1.5 3 105)(3.3 3 1024)
Algebra 1
DATE
NAME
9-3
Student Edition
Pages 506–512
Study Guide
Scientific Notation
Scientists use scientific notation to express very large or very
small numbers. A number is expressed in scientific notation
when it is expressed as the product of a number between one
and ten, and a power of ten.
Example 2: 0.00391 5 3.91 3 1023
Example 1: 37,000 5 3.7 3 104
You can find products or quotients of numbers that are
expressed in scientific notation by following the rules for
multiplying and dividing monomials and powers.
8.4 3 10 8
8.4
108
Example 3: 4.2 3 10 5 5 4.2 3 105
5 2 3 103, or 2000
Example 4: (6700)(0.00002)
5 (6.7 3 10 3)(2 3 1025)
5 (6.7 3 2)(10 3 3 1025)
5 13.4 3 1022
5 1.34 3 1021, or 0.134
Express each number in scientific notation.
1. 0.0000456
4.56 3 10
2. 0.01
24
10
4. 640 3 10 5
3. 590,000,000
5.9 3 10
22
6.4 3 10 7
8
Evaluate. Express each result in scientific and standard notation.
1.4 3 104
3.3 3 10212
5. 0.2 3 102
7 3 10 2; 700
8. (2 3 104)(4 3 1025)
8 3 10 ; 0.8
21
11. 250,000 4 0.0005
5 3 10 8;
500,000,000
© Glencoe/McGraw-Hill
6. 1.1 3 10214
7.
3 3 10 2; 300
9. (77 3 104)(0.02 3 103)
1.54 3 10 ;
15,400,000
7
12. (0.00004)(20,000)
8 3 1021; 0.8
T63
0.000042
600
7 3 1028;
0.00000007
10. (3.2 3 1022)(2.0 3 102)
6.4 3 100; 6.4
13. (1.5 3 105)(3.3 3 1024)
4.95 3 10 1; 49.5
Algebra 1