WorksheetsScientific Noation
Total questions: 52
Worksheet time: 2hrs 48mins
Name
Class
Date
1.
If the exponent on the power of 10 is a positive number...
a)
you will get a large number that is greater than 1
b)
you will get a smaller number that is less than 1
2.
Which of the following numbers is written in correct scientific notation?
a)
64.2⋅102
b)
6.42⋅103
c)
0.642⋅104
d)
6240
3.
Which of these numbers is the smallest?
a)
3.5 x107
b)
3 x108
c)
5 x107
d)
5.5 x106
4.
To compare two numbers that are in scientific notation, first compare the (a) . If they are the same, then compare the (b) .
Choose from the below words
exponents
decimals
5.
Which of these numbers is the greatest?
a)
9 x 109
b)
8.1 x1010
c)
9.02 x109
d)
6.35 x1010
6.
How is the following number written in scientific notation?
450,000
a)
4.5 x 105
b)
45 x 105
c)
4.5 x 104
d)
4.5 x 106
7.
How is the number below written in scientific notation?
0.000398
a)
39.8 x 10-5
b)
3.98 x 10-5
c)
3.98 x 10-4
d)
39.8 x 10-6
8.
Which of the following is the correct way to write 3.97 x 10-2 in standard form?
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
9.
Which is the correct way to write the number 3.5 x 106 in standard notation?
a)
0.0000035
b)
35,000,000
c)
3,500,000
d)
0.00000035
10.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
11.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
12.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
13.
Change from standard form to scientific notation: 12,000,000
a)
12.0 x 107
b)
0.12 x 107
c)
1.2 x 106
d)
1.2 x 107
14.
Change from standard form to scientific notation: 450,000
a)
4.5 x 105
b)
45 x 105
c)
4.5 x 104
d)
4.5 x 106
15.
Change from standard form to scientific notation: 0.000398
a)
39.8 x 10-5
b)
3.98 x 10-5
c)
3.98 x 10-4
d)
39.8 x 10-6
16.
Change from standard form to scientific notation: 0.004078
a)
4.078 x 10-3
b)
4.078 x 103
c)
40.78 x 10-4
d)
.4078 x 10-2
17.
125,678,000: Change to scientific notation
a)
1.25678 x 1012
b)
.125678 x 10-9
c)
12.5678 x 108
d)
1.25678 x 108
18.
Try to change the number back to standard form: 6.79 x 104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
19.
Try to change the number back to standard form: 3.97 x 10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
20.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000
21.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
22.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
23.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
24.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
25.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
26.
Change from standard form to scientific notation: 12,000,000
a)
12.0 x 107
b)
0.12 x 107
c)
1.2 x 106
d)
1.2 x 107
27.
Change from standard form to scientific notation: 450,000
a)
4.5 x 105
b)
45 x 105
c)
4.5 x 104
d)
4.5 x 106
28.
Change from standard form to scientific notation: 0.000398
a)
39.8 x 10-5
b)
3.98 x 10-5
c)
3.98 x 10-4
d)
39.8 x 10-6
29.
Change from standard form to scientific notation: 0.004078
a)
4.078 x 10-3
b)
4.078 x 103
c)
40.78 x 10-4
d)
.4078 x 10-2
30.
125,678,000: Change to scientific notation
a)
1.25678 x 1012
b)
.125678 x 10-9
c)
12.5678 x 108
d)
1.25678 x 108
31.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
32.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
33.
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
34.
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
35.
(9.6×10-8)÷(2×10-15)
a)
-4.8×107
b)
4.8×107
c)
4.8×10-7
d)
-4.8×10-7
36.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
37.
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
38.
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
39.
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
40.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
41.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
42.
What is it called when you go from this form to this next form?
0.0088 to 8.8 x 103
0.0088 to 8.8 x 103
a)
Standard form to scientific notation
b)
Scientific notation to regular form
c)
Scientific notation to standard form
d)
Standard form to regular form
43.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
44.
When your exponent is negative, you move your decimal....
a)
to the right
b)
to the left
c)
to both sides
d)
nowhere.... the decimal goes nowhere
45.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
46.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
47.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
48.
What property of multiplication allows us to rearrange and multiply our factors in ANY order?
a)
Distributive Property
b)
Associative Property
c)
Identity Property
d)
Commutative Property
49.
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
50.
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
51.
Solve:
(9 x 10-6) divided by (3 x 10-3)
(9 x 10-6) divided by (3 x 10-3)
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
52.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
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