WorksheetsScientific Notation - Operations
Total questions: 53
Worksheet time: 2hrs 3mins
Name
Class
Date
1.
Express the following in standard notation:
8.025 x 10-8
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
2.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
3.
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
4.
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
5.
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
6.
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
7.
(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
8.
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6
9.
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
10.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
11.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
12.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
13.
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
14.
UNDERSTANDING
If the exponent is a positive number...
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
15.
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
16.
(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
17.
(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
18.
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
19.
The average U.S. resident uses 100 gallons of water per day. The population of the U.S. is about 3.23×108. About how many gallons of water do U.S. residents use each day?
a)
323×1010
b)
3.23×1010
c)
3.23×109
d)
3.23×108
20.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
21.
How would you write 0.0005 in scientific notation?
a)
5 x 10-5
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
22.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
23.
The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.
a)
hydrogen, carbon, oxygen, silver, gold
b)
hydrogen, oxygen, gold, siver, carbon
c)
carbon, oxygen, silver, gold, hydrogen
d)
gold, oxygen, carbon, silver, hydrogen
24.
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 minutes
b)
2.25 x 10-6 seconds
c)
2.25 x 10-3 seconds
d)
2.25 x 106 seconds
25.
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 1019
b)
1.271 x 1010
c)
1.271 x 1011
d)
1.271 x 108
26.
The population of Mathville is 5.6 x 103. The population of Algeville is 1.3 x 104. How many more people are there in Algeville?
a)
740
b)
7400
c)
7.4 x 104
d)
7.4 x 101
27.
Convert to Standard Notation
2 x 10-2
2 x 10-2
a)
4
b)
200
c)
0.002
d)
0.02
28.
Convert to Standard Notation
8.4 x 10-3
8.4 x 10-3
a)
0.00084
b)
0.0084
c)
84
d)
8400
29.
Convert to Scientific Notation
0.003
0.003
a)
3
b)
3 x 10-3
c)
3 x 10-1
d)
3 x 103
30.
Convert to Standard Notation
5 x 102
5 x 102
a)
5
b)
50
c)
500
d)
0.05
31.
Convert to standard notation
1.028 x 107
1.028 x 107
a)
10,280,000,000
b)
0.0000001028
c)
102,800,000
d)
0.0001028
32.
Convert to Scientific Notation
362,000,000
362,000,000
a)
0.00000362
b)
3.62 x 108
c)
362 x 106
d)
3.62 x 106
33.
Convert to Scientific Notation
60000
60000
a)
6 x 104
b)
0.00006
c)
6.0 x 105
d)
6 x 10 x 10 x 10 x 10
34.
What is step 1?
(a * 10b) / (a * 10b)
(a * 10b) / (a * 10b)
a)
Multiply (a * a)
b)
Divide (a / a)
c)
Add (a + a)
d)
Subtract (a - a)
35.
What is step 1?
(a * 10b) (a * 10b)
(a * 10b) (a * 10b)
a)
Multiply (a * a)
b)
Divide (a / a)
c)
Add (a + a)
d)
Subtract (a - a)
36.
Find the sum
(4x102)+ (5.1x102)
(4x102)+ (5.1x102)
a)
9.1 x 104
b)
9.1 x 102
c)
5.5 x 10
d)
20.4 x 104
37.
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
38.
Convert the following number to standard form: 5.024 x 103
a)
0.005024
b)
5,024
c)
5,024,000
d)
0.0005024
39.
Convert the following number to standard form: 1.015 x 10-8
a)
0.00001015
b)
0.00000001015
c)
101,500,000
d)
10,150,000
40.
Convert the following number to scientific notation: 0.000789
a)
789
b)
7.89 x 10-4
c)
7.89 x 104
d)
7.89 x 10-6
41.
Convert the following number to scientific notation: 1,000,000
a)
1 x 10-6
b)
1 x 107
c)
1 x 10-7
d)
1 x 106
42.
Convert the following number to scientific notation: 0.0050780
a)
5.0780 x 10-3
b)
5.0780 x 103
c)
50780 x 10-7
d)
5.0780 x 10-7
43.
Convert the following number to scientific notation: 0.000658
a)
6.58 x 10-4
b)
6.58 x 104
c)
.658 x 10-3
d)
658 x 10 -6
44.
Convert the following number to scientific notation: 807
a)
8.07 x 10-2
b)
8.07 x 102
c)
80.7 x 101
d)
.807 x 103
45.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
46.
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
47.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
48.
(9 x 1018) ÷ (3 x 1016)
a)
3 x 102
b)
6 x 102
c)
27 x 1034
d)
3 x 1034
49.
(5 x 106) x (2 x 103)
a)
1 x 109
b)
1 x 1010
c)
1 x 108
d)
1 x 1019
50.
(8 x 1055) ÷ (2 x 1052)
a)
6 x 103
b)
4 x 103
c)
4 x 10107
d)
4 x 1055
51.
(7 x 1012) x (2 x 1010)
a)
1.4 x 1022
b)
1.4 x 1023
c)
1.4 x 1021
d)
9 x 1022
52.
(3 x 108) x (2 x 1012)
a)
6 x 1020
b)
5 x 1020
c)
6 x 1096
d)
5 x 1096
53.
(2 x 107) x (4 x 10-3)
a)
8 x 1010
b)
8 x 10-4
c)
8 x 10-10
d)
8 x 104
100 %
