Download Chapter 6 Practice - Lewis-Palmer School District 38

Name
Class
Date
Practice 6-1 Scientific Notation
Write each number in scientific notation.
1. 45
5. 4,100
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9. 38,050
2. 250
3.90
6. 500
7.43,200
10. 480,000
4.670
8.97,100
11.900,000
12.8,750,000
Write each number in standard form.
13. 3.1 3 101
17. 2.86 3 105
21. 4.83 3 109
14. 8 3 102
15.4.501 3 104
18. 3.58 3 106
19.8.1 3 101
22. 2.73 3 108
16.9.7 3 106
20.9.071 3 102
23.2 3 105
24.8.09 3 104
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Order each set of numbers from least to greatest.
25. 8.9 3 102, 6.3 3 103, 2.1 3 104, 7.8 3 105
26. 2.1 3 104, 2.12 3 103, 3.46 3 105, 2.112 3 102
27. A mulberry silkworm can spin a single thread that measures up to
3,900 ft in length. Write the number in scientific notation.
Write each number in scientific notation.
28. 0.025
29. 0.00003
30.0.00197
31.0.000407
Write each number in standard form.
32. 8.1 3 1023
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33. 3.42 3 1025
34.9.071 3 1026
35.2 3 1024
Course 3 Lesson 6-1
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Name
Class
Date
Practice 6-2
Exponents and Multiplication
Write each expression using a single exponent.
1. 32 ? 35
2.13 ? 14
? 0.8
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7. 33
4. 0.83
5.
34
(21.3)2
?
(21.3)4
?3?
3.(23)12 ? (23)5
8.22
?
22
?
22
6. 4.58 ? 4.52
9.5 ? 54 ? 53
Simplify each expression.
10. a1 ? a2
11.m5 ? m
16. 10jk5
13. (3x) ? (3x)
9d8
?
14.4d ?
3j3k2
12.(2y)3 ? (2y)2
17.2p3q2
?
3p2q3
15.x2y ? xy2
18.5x2 ? x6 ? x3
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Replace each ? with 5, <, or >.
19. 38 ? 3 ? 37
20.49 ? 72 ? 72
22. A square has a side length of
7x4
21. 53 ? 54 ? 252
in. Find the area of the square.
23. The formula for the volume of a rectangular prism is V 5  ? w ? h.
What is the volume of a prism with length 2x2 mm, width 4x mm,
and height x3 mm?
24. One meter is equal to 102 centimeters. One kilometer is equal to
103 meters. How many ­centimeters are in one kilometer?
Practice
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Course 3 Lesson 6-2
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Name
Class
Practice 6-3
Date
Multiplying with Scientific Notation
Find each product. Write the answers in scientific notation.
1. (3 3 104)(5 3 106)
2. (7 3 102)(6 3 104)
3. (4 3 105)(7 3 108)
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4. (9.1 3 106)(3 3 109)
5. (8.4 3 109)(5 3 107)
6. (5 3 103)(4 3 106)
7. (7.2 3 108)(2 3 103)
8. (1.4 3 105)(4 3 1011)
Choose the most reasonable unit to describe the quantity.
Then use scientific notation to describe the quantity using the other unit.
9. The mass of a bicycle is about 6 _____. (g, kg)
10. The length of a school bus is 12 _____. (m, km)
11. Double the number 4.6 3 1015. Write the answer in scientific notation.
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12. Triple the number 2.3 3 103. Write the answer in scientific notation.
13. A company manufactures 3.2 3 104 cell phones per month. How many cell
phones does it manufacture per year?
14. Yosemite National Park covers about 7.6 3 105 acres. There are about
4.36 3 104 square feet in one acre. How many square feet does the national
park cover?
Practice
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Course 3 Lesson 6-3
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Name
Class
Date Practice 6-4
Exponents and Division
Simplify each expression.
2. (23)0 1. 822
5. 225
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4
9. 4 13. 115 4 118
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(3)6
(3)8
4
(4)8
(4)4
9
16. 10
12
10
19.x16 4 x7
12. 80
8
15.2
8.522
11.2
9
18. g g15
17. b12 b4
7.223
14. 7 4 74
10. 86 4 88
4
6. 323 4.180
3.521
20.v20 4 v25
Complete each equation.
?
21. 1 5 3 35
25.
?
22. 2 1 5 22 (2)7
?
5
28. q 5 q7
27. z
5 z23
z8
?
24. 2 1 5 (25)
125
?
10
26. 5 5 55
1 5 10 ? 1,000
?
23. 1 5 x x2
?
Is each statement true or false? Explain your reasoning.
29. (21)3 5 123
30. 321 ? 321 5 31
31. 22 ? 222 5 1
32. 72 ? (27)3 5 (27)26
Practice
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Course 3 Lesson 6-4
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Name
Class
Date Practice 6-5 Dividing with Scientific Notation
Divide. Write each quotient in scientific notation.
7
1. 6.8 3 10 3.4 3
3
2. 7.3 3 10 4.5 3 106
105
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101
5
7. 8.2 3 10 8.
6
7
9. 3.4 3 10
9
12
4.3 3 102
7
6. 6.2 3 10
28
5.6 3 10
5
5. 7.9 3 10 2.3 3 103
24
4. 1.9 3 10 3.3 3
5
3. 2.6 3 10
5.1 3 103
Which of the following numbers is greater?
10. 5.2 3 104 or 5.8 3 103
11. 6 3 103 or 8 3 1023
12. 3.42 3 106 or 3.24 3 106
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13. 8.1 3 1027 or 8.1 3 1028
Estimate how many times the first number is than the second number.
14. 6 3 1012 and 2 3 1010
15. 4 3 109 and 8 3 105
16. The height of the thermosphere is about 2.95 3 105 feet above Earth. There are
5,280 feet in 1 mile. About how many miles above earth is the thermosphere?
17. The speed of light is about 3.0 3 108 m/s. The speed of sound is about
3.4 3 102 m/s. How much faster does light travel than sound?
18. The distance between Los Angeles, California, and Washington, D.C., is
4.3 3 106 m. The distance between New York City, New York, and Washington,
D.C., is 3.6 3 105 m. How much farther is Los Angeles from Washington, D.C.,
than New York City?
Practice
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Course 3 Lesson 6-5
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