WorksheetsMagnitude & Scientific Notation Review
Total questions: 55
Worksheet time: 4hrs 37mins
Name
Class
Date
1.
UNDERSTANDING
If the exponent is a negative number...
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
2.
UNDERSTANDING:
The first number in scientific notation must be...
The first number in scientific notation must be...
a)
between and including 0 and 10
b)
between and including 1 and 9.9999
c)
between and including 0 and 9.999
d)
between and including 1 and 10
3.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
4.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
5.
Which of these are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)
10 x 102
6.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
7.
Convert to scientific notation:
520,000,000
520,000,000
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
8.
How would you write 0.0005 in scientific notation?
a)
50 x 10-5
b)
5 x 10-4
c)
5 x 103
d)
.5 x 103
9.
Express the following in scientific notation:
0.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
10.
Write 3,450,000 in scientific notation.
a)
34.5 x 106
b)
3.45 x 106
c)
3.45 x 107
d)
34.5 x 105
11.
Write 0.0015 in scientific notation.
a)
0.15 x 103
b)
1.5 x 103
c)
-1.5 x 10-3
d)
1.5 x 10-3
12.
Write in scientific notation. 59000
a)
5.9 x 104
b)
5.9 x 10-4
c)
5.9 x 103
d)
5.9 x 105
13.
Write in scientific notation. 0.000000768
a)
7.68 x 107
b)
7.68 x 108
c)
7.68 x 10-7
d)
7.68 x 10-8
14.
Write in scientific notation:
0.0000378
0.0000378
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
15.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
16.
Write in scientific notation. 0.000024
a)
2.4 x 104
b)
2.4 x 105
c)
2.4 x 10-4
d)
2.4 x 10-5
17.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
18.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
19.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
20.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
21.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
22.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
23.
Solve:
(9 x 10-6) / (3 x 10-3)
(9 x 10-6) / (3 x 10-3)
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
24.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
25.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
26.
(2.8 x 108)+(5.4 x 109)
a)
5.68 x 109
b)
5.69 x 109
c)
5.67 x 109
d)
5.70 x 109
27.
(2.3 x 102)+(4.1 x 102)=
a)
6.4 x 104
b)
6.4 x 102
c)
6.4 x 100
d)
.64 x 101
28.
Write the answer in scientific notation.
7.3 x 105 + 3.7 x 105 =
7.3 x 105 + 3.7 x 105 =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
29.
Write the answer in scientific notation.
5 x 108 - 3.4 x 108 =
5 x 108 - 3.4 x 108 =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
30.
Subtract using scientific notation.
(2 x 10³) - (1.9 x 10²)
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
31.
Subtract using scientific notation.
(8.0 x 1013) - (7.5 x 1012)
(8.0 x 1013) - (7.5 x 1012)
a)
7.25 x 1013
b)
7.25 x 1012
c)
5.0 x 1012
d)
5.0 x 1013
32.
Write the answer in scientific notation.
5 x 108 - 3.4 x 108 =
5 x 108 - 3.4 x 108 =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
33.
Subtract using scientific notation.
(8.0 x 1013) - (7.5 x 1012)
(8.0 x 1013) - (7.5 x 1012)
a)
7.25 x 1013
b)
7.25 x 1012
c)
5.0 x 1012
d)
5.0 x 1013
34.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
35.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles?
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
36.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 102 grams?
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108
37.
A computer's hard disk drive holds 8 x 107 bytes of information. If Jill buys an extra memory stick that holds 3 x 106 bytes of information, how much memory will the computer hold?
a)
11 x 1013
b)
11 x 107
c)
8.3 x 1013
d)
8.3 x 107
38.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
39.
The Diplodocus dinosaur is believed to have become extinct approximately 1.38x108 years ago. The Oviraptor is believed to have become extinct approximately 7x107 years ago. How many years were there between the extinction of these two dinosaur types?
a)
6.8 x 108
b)
6.8 x 109
c)
68 x 108
d)
6.8 x 107
40.
There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?
a)
1.271 x 1010
b)
1.271 x 109
c)
1.271 x 1011
d)
1.271 x 108
41.
If a computer can perform an addition operation in 1.5 x 10-6 seconds, how long will it take to perform 1500 such operations?
a)
2.25 x 10-3 seconds
b)
2.25 x 10-6 seconds
c)
2.25 seconds
d)
2.25 x 106 seconds
42.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
43.
103 = _____
a)
30
b)
3,000
c)
10
d)
1,000
44.
0.00001 as a magnitude (power of ten) is...
a)
10-4
b)
10-5
c)
104
d)
105
45.
Which is the correct exponent ? 0.000001 = 10?
a)
6
b)
5
c)
-6
d)
5
46.
Select the value equivalent to 10-2 ?
a)
0.01
b)
0.001
c)
0.02
d)
0.002
47.
Moving the decimal to the right means the number will get __________.
a)
larger
b)
smaller
c)
stay the same
48.
Write 10,000,000,000 as a magnitude (power of 10).
a)
1011
b)
1010
c)
109
d)
108
49.
Write 86,450 as the smallest magnitude (power of ten) that exceeds it.
a)
108
b)
107
c)
105
d)
104
50.
Write 0.000781 as the smallest magnitude (power of ten) that exceeds it.
a)
10−4
b)
10−7
c)
10−3
d)
10−5
51.
Write 10,000,000 as a magnitude (power of 10).
a)
1011
b)
1010
c)
109
d)
108
52.
Write 0.000000642 as the smallest magnitude (power of ten) that exceeds it.
a)
10−4
b)
10−6
c)
10−3
d)
10−5
53.
Write 984 as the smallest magnitude (power of ten) that exceeds it.
a)
102
b)
103
c)
104
d)
105
54.
Write 784,000 as the smallest magnitude (power of ten) that exceeds it.
a)
10−5
b)
10−6
c)
105
d)
106
55.
Write 0.0052 as the smallest magnitude (power of ten) that exceeds it.
a)
10−2
b)
102
c)
103
d)
10−3
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