Name ________________________________________ Date __________________ Class __________________
LESSON
2-2
Scientific Notation with Positive Powers of 10
Practice and Problem Solving: A/B
Write each number as a power of 10.
1. 100
________________
5. 1,000,000
________________
2. 10,000
3. 100,000
________________
_______________
6. 1,000
7. 1,000,000,000
________________
_______________
4. 10,000,000
________________
8. 1
________________
Write each power of ten in standard notation.
9. 103
________________
13. 102
________________
10. 105
11. 10
________________
_______________
14. 100
15. 104
________________
_______________
12. 106
________________
16. 107
________________
Write each number in scientific notation.
17. 2,500
________________
21. 14,565
________________
18. 300
19. 47,300
________________
_______________
22. 7,001
23. 19,050,000
________________
_______________
20. 24
________________
24. 33
________________
Write each number in standard notation.
25. 6 × 103
________________
29. 3.052 × 103
________________
26. 4.5 × 102
27. 7 × 107
________________
_______________
30. 5 × 100
31. 9.87 × 101
________________
_______________
28. 1.05 × 104
________________
32. 5.43 × 101
________________
Solve.
33. The average distance of the Moon from Earth is about 384,400
kilometers. Write this number in scientific notation.
_________________________________________________________________________________________
34. The radius of Earth is about 6.38 × 103 kilometers. Write this distance
in standard notation.
_________________________________________________________________________________________
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26
6.
Practice and Problem Solving: D
1.
1
1
=
4 × 4 × 4 × 4 256
Column 1
Column 2
Column 3
53 = 125
63 = 216
103 = 1,000
52 = 25
62 = 36
102 = 100
51 = 5
61= 6
101 = 10
50 = 1
60 = 1
100 = 1
2. 6 × 6 =36
3. 3 × 3 × 3 × 3 × 3 = 243
4. 1
5.
1
1
=
7 × 7 49
5−1 =
1
5
5−5 =
1
25
6. 10 × 10 × 10 × 10 × 10 = 100,000
(3 • 2)
4
( 7 − 1)
6
7.
=
66
= 66 − 4 = 62 = 36
64
8. (3)2 • (31) = 32+1 = 33 = 27
6−1 =
6−2 =
1
6
10−1 =
1
10
1
36
10−2 =
1
100
Success for English Learners
9. 42 • 43 = 42+3 = 45 = 1,024
11. (4 − 3)2 • (5 • 4)0 = 12 • 200 = 1 • 1 =1
1. Answers will vary. Sample answer: A
negative exponent tells you how many
times you use the base as a divisor.
12. (2 + 3)5 ÷ (52)2 = 55 ÷ 54 = 55−4 = 51 = 5
2. 9
13. (22)3 = 26 = 64;(23)2 = 26 = 64; Both are
equal. Explanations will vary.
3. 64
10. (42)3 = 42•3 = 46 = 4,096
4. x20
5. 4,096
Reteach
6. 12
1. subtract; 27
7. z12
1
2. add;
8
LESSON 2-2
3. multiply; 729
Practice and Problem Solving: A/B
4. add; 625
5. subtract;
1. 102
1
16
2. 104
3. 105
6. multiply; 1,296
4. 107
5. 106
Reading Strategies
1. The exponent decreases by 1 as you
move down the column.
6. 103
2. 3
8. 100
3. 3
9. 1,000
4. 4
10. 100,000
5. 4
11. 10
7. 109
12. 1,000,000
13. 100
14. 1
15. 10,000
16. 10,000,000
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327
17. 2.5 × 103
18. 3 × 10
5. 10 × 10 × 10 × 10 × 10
2
6. 10 × 10 × 10 × 10 × 10 × 10 × 10
19. 4.73 × 10
4
7. 10 × 10 × 10 × 10
20. 2.4 × 101
21. 1.4565 × 10
8. 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 ×
10 × 10 × 10
4
9. 103
22. 7.001 × 103
10. 101
23. 1.905 × 107
11. 105
24. 3.3 × 101
12. 10
25. 6,000
13. 1,000
26. 450
14. 10,000
27. 70,000,000
15. 1,000,000,000
28. 10,500
16. 100,000
29. 3,052
17. 1
30. 5
18. 3
31. 98.7
19. 2
32. 54.3
20. 6
33. 3.844 × 105 km
21. 0
34. 6,380 km
22. 3,560
Practice and Problem Solving: C
23. 9,000
1. 2,500 < 2,500,000
24. 68,750
2. 5,000,000 > 2,500,000
25. 4,005,000
3. 3 < 10
26. 1,000 ft3
4. 4,025 < 10,250
Reteach
5. 4.50 × 102; 1.2 × 103
5
6. 2.3 × 10 ; 3.2 × 10
5
1. 3.46; 4; 3.46 × 104
4
5
2. 1.0502; 6; 1.0502 × 106
5
7. 2.35 × 10 ; 3.25 × 10 ; 5.32 × 10 ;
2.35 × 106; 3.25 × 106; 5.32 × 106
3. 1,057
4. 300,000,000
8. 0 × 100; 1 × 100; 5 × 100; 1 × 101; 5 × 101
5. 524,000
9. False
Reading Strategies
10. False
11. 15,000 − 9,000 = 6,000; 6,000 tickets are
available
1. 2; 2.95; 2; 2.95 × 102
12. 1.5 × 104 = 15,000, and 15,000 > 2,500,
so the athletic team is more popular
3. 4; 4.505; 6; 4.505 × 106
Practice and Problem Solving: D
5. between 7 and 0; 5; 700,000
2. 1; 1.05; 4; 1.05 × 104
4. between 2 and 9; 4; 25,000
6. between 1 and 2; 3; 1,234
1. 100
2. 100,000
3. 10,000
4. 1,000
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328