2-1 Scientific Notation
Name
Date
Write 8.1 " 10!4 in standard form.
Write 385,000 in scientific notation.
3.85 % 1 and 3.85 & 10
1
8.1 " 10!4 ! 8.1 " 10,000
! 0. 0 0 0 8. 1 ! 0.00081
385,000 ! 3. 8 5 0 0 0. " 100,000 ! 3.85 " 105
4 zeros
power of 10
Move 5 places.
5 zeros
Move 4 places.
power of 10
So in scientific notation 385,000 ! 3.85 " 105.
So in standard form 8.1 " 10!4 ! 0.00081.
Compare 4.25 " 10!2 and 5.33 " 10!5.
Which is greater?
Think
Order from least to greatest, then greatest to least:
3.12 " 108, 3.97 " 10!4, 1.53 " 108
10!4 , 108
The exponents of the powers
of 10 are different.
10!2 . 10!5
3.97 " 10!4 is the least number.
1.53 " 108 , 3.12 " 108
Compare the exponents of the
powers of 10; #2 $ #5.
3.12 " 108 is the
greatest number.
• least to greatest:
3.97 " 10!4, 1.53 " 108, 3.12 " 108
• greatest to least:
3.12 " 108, 1.53 " 108, 3.97 " 10!4
4.25 " 10!2 $ 5.33 " 10!5
So 4.25 " 10!2 is greater.
Write in scientific notation.
1. 2200
2. 591,000
2.2 " 103
5.91 " 105
Copyright © by William H. Sadlier, Inc. All rights reserved.
6. 92,900,000
8. 0.003
1.5 " 103
12. 870.4
6.67 " 10!5
16. 197,070,000
1.9707 " 108
4. 90,700
8.03 " 105
7. 1500
9.29 " 107
11. 0.0000667
3. 803,000
9.07 " 104
9. 0.0005
3 " 10!3
13. 0.8006
8.704 " 102
14. 32.508
2.0202 " 109
3.9 " 1011
1.7 " 10!4
15. 0.000000183
3.2508 " 101
18. 390,000,000,000
2.871 " 106
10. 0.00017
5 " 10!4
8.006 " 10!1
17. 2,020,200,000
5. 2,871,000
1.83 " 10!7
19. 0.0000000444
4.44 " 10!8
Write in standard form.
20. 5.63 " 102
563
24. 4.81 " 105
481,000
21. 7.87 " 103
22. 5.6 "10!4
7870
25. 4.6 " 1011
460,000,000,000
0.00056
26. 2.03 " 10!9
0.00000000203
Lesson 2-1, pages 36–37.
23. 3.04 " 10!7
0.000000304
27. 1.095 " 10!6
0.000001095
Chapter 2
39
For More Practice Go To:
Write in standard form.
28. 1 " 102
29. 6 " 10!5
0.00006
100
32. 5.0378 " 101
33. 9.491 " 10!1
50.378
0.9491
36. 4.09 " 10–6
37. 7.007 " 10!11
0.00000409
0.00000000007007
30. 1.34 " 1011
31. 3.902 " 1010
134,000,000,000
34. 6.1 " 1012
39,020,000,000
35. 5.96 " 109
6,100,000,000,000
38. 1.5 " 101
5,960,000,000
39. 8.2 " 10!1
15
0.82
Compare. Write ,, 5 or ..
40. 2.01 " 105 . 2.8 " 104
41. 6.1 " 105 . 6.01 " 105
42. 8.4 " 10!3 , 8.04 " 104
43. 5 " 10!9 , 4 " 1010
44. 8.9 " 10#4 , 9.04 " 10!2
45. 1.96 " 10!4 . 2.48 " 10!6
46. 3.23 " 103 , 3.32 " 103
47. 6.12 " 109 , 6.12 " 1010
48. 3.434 " 10!4 . 3.343 " 10!4
49. 9.02 " 10!6 , 1.03 " 10!5 50. 1.01 " 10!10 . 1.1 " 10!11 51. 7.54 " 10!6 . 7.45 " 10!16
Order from least to greatest.
7.7 " 10!7, 7.208 " 10!5, 7.004 " 106
54. 3.303 " 10!3, 3.303 " 10!5, 3.3 " 10!5
3.3 " 10!5, 3.303 " 10!5, 3.303 " 10!3
53. 8.11 " 108, 8.8 " 10!6, 8.98 " 105
8.8 " 10!6, 8.98 " 105, 8.11 " 108
55. 1.3 " 103, 1.03 " 103 , 1.33 " 10!4
1.33 " 10!4, 1.03 " 103, 1.3 " 103
Solve. Check to verify your answer.
56. Violet is the color of visible light that
has the shortest wavelength—about
0.00004 centimeter. Express the
wavelength in scientific notation.
57. Pluto has a diameter of about 1.5 " 103
miles. The United States is about 3000 miles
across. Which is the greater distance? About
how many times as great?
1.5 " 103 # 1500; 3000 . 1500;
The United States has the greater distance;
3000 $ 1500 # 2, so 2 times as great.
4 " 10!5 cm
Determine whether each number is in scientific notation. Write yes or no.
If no, explain why not, and write the number in scientific notation.
58. 10.5 " 109
no; 10.5 . 10; 1.05 " 1010
40
Chapter 2
59. 0.47 " 10!3
no; 0.47 , 1; 4.7 " 10!4
60. 7.615 " 10!2
yes
Copyright © by William H. Sadlier, Inc. All rights reserved.
52. 7.208 " 10!5, 7.004 " 106, 7.7 " 10!7