Lesson 6 Homework Practice
Scientific Notation
Write each number in standard form.
1. 9.03 × 102
2. 7.89 × 103
3. 4.115 × 105
4. 3.201 × 106
5. 5.1 × 10-2
6. 7.7 × 10-5
7. 3.85 × 10-4
8. 1.04 × 10-3
Write each number in scientific notation.
9. 4,400
10. 75,000
11. 69,900,000
12. 575,000,000
13. 0.084
14. 0.0099
15. 0.000000515
16. 0.0000307
17. Which number is greater: 3.5 × 104 or 2.1 × 106?
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18. Which number is less: 7.2 × 107 or 9.9 × 105?
19. POPULATION The table lists the populations
of five countries. List the countries from
least to greatest population.
Country
Australia
Brazil
Egypt
Luxembourg
Singapore
Population
2 × 107
1.9 × 108
7.7 × 107
4.7 × 105
4.4 × 106
20. SOLAR SYSTEM Pluto is 3.67 × 109 miles from the Sun. Write this
number in standard form.
21. MEASUREMENT One centimeter is equal to about 0.0000062 mile. Write
this number in scientific notation.
22. DISASTERS In 2005, Hurricane Katrina caused over $125 billion in
damage in the southern United States. Write $125 billion in scientific
notation.
13
Course 3 • Chapter 1 Real Numbers
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Lesson 7 Skills Practice
Compute with Scientific Notation
Evaluate each expression. Express the result in scientific notation.
1. (5.8 × 105)(6.4 × 102)
2. (3.92 × 106)(2.2 × 104)
2.952 × 106
3. −−−−−−−
3
2.052 × 107
4. −−−−−−−
4
5. (6.9 × 107) + (2.12 × 105)
6. (1.78 × 104) + (5.35 × 103)
7. (8.4 × 107) – (6.3 × 106)
8. (9.62 × 105) – (2.58 × 103)
3.6 × 10
6.8 × 10
2.888 × 105
10. −−−−−−−
2
7.22 × 10
11. (3.68 × 103)(2.4 × 106)
12. (7.2 × 107)(1.82 × 102)
13. (6.78 × 104) – (4.13 × 102)
3.024 × 106
14. −−−−−−−
2
15. (5.9 × 108) + (2.6 × 106)
16. (3.45 × 107)(1.68 × 104)
17. (8.33 × 103) + (4.1 × 105)
18. (6.82 × 105) – (3.11 × 104)
16
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
6.256 × 108
9. −−−−−−−
4
5.4 × 10
4.8 × 10
Course 3 • Chapter 1 Real Numbers
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Lesson 7 Problem-Solving Practice
Compute with Scientific Notation
1. OCEAN Humpback whales are known to
weigh as much as 8 × 104 pounds. The
tiny krill they eat weigh only
2.1875 × 10−3 pounds. How many times
greater than krill are humpback
whales?
2. MEASUREMENT One inch is equal to
1.5782 × 10−5 miles. One centimeter is
equal to 6.2137 × 10−6 miles. How
many miles greater is one inch than
one centimeter?
3. MONUMENT The Statue of Liberty is
about 1.5108 × 102 feet tall from the
base to the torch. The pedestal is
1.54 × 102 feet tall. How tall is the
Statue of Liberty from the foundation of
the pedestal to the top of the torch?
4. FUNDRAISER The table shows the
amount of money raised by each region
for cancer awareness. How much money
did the North and South raise together?
5. TURKEYS When the National Wild
Turkey Federation was formed in 1973,
there were only about 1.3 × 106 wild
turkeys in North America. Now there
are over 7 × 106 wild turkeys in North
America. About how many more
turkeys are there now than there were
in 1973?
16
Amount Raised ($)
1.46 × 104
North
2.38 × 104
South
6.75 × 103
West
8.65 × 103
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
Region
East
6. MONEY A bank starts the day with
2.93 × 104 dollars in the vault. At the
end of the day, the bank has 3.5 × 105
dollars in the vault. How much more
money is in the vault at the end of the
day than there was in the morning?
Course 3 • Chapter 1 Real Numbers
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NAME __________________________________________ DATE ____________ PERIOD _______
Lesson 7 Extra Practice
Compute with Scientific Notation
Evaluate each expression. Express the result in scientific notation.
1. (3.2
4.48
4. (4.8
1.872
104)(1.4
102)
106
5.002
106)(3.9
10
10 8)
1
4.55 107
3.5
1.3 104
103
10.
7.56 106
1.8
4.2 107
10
3.04
16. (9.2
8.24
103) + (3.4
10
3
103)
103
5. (9.3
2.511
7.
13. (2.7
2. (6.1
1010
104)
10 5)(2.7
10 2)
6
10
10
1
11.
2.016 107
2.4
8.4 103
103
102)
14. (7.2
102)
Course 3 • Chapter 1 Real Numbers
17. (6.5
6.81
106) + (1.25
6
1012) + (3.1
1012
6. (4.3
2.408
8.84 10 5
2.6
3.4 10 2
10
3. (5.2
3.848
8.
7.325
(9.6
105)(8.2
3
9.
12.
105)
105)
10 2)(5.6
10 4)
103
10
5
8.05 104
3.5
2.3 10 2
106
1.175 10 3
9.4
1.25 10 6
15. (8.4
8.321
1011)
10 3)(7.4
18. (2.6
2.526
105)
10
109)
5
109
102
(7.9
103)
(7.4
107)