Page 1
1.
Compare $0.01 and $1,000,000.
By how many orders of magnitude do they differ?
A)
5
10
B)
5
10−
C)
10
10
D)
16
E)
8
2.
One earthquake has a Richter number of 5.1. A second has a Richter number of 8.1.
How many times more intense is the second than the first?
A)
3
B)
1,000
C)
30
D)
59,049
3.
Determine the order-of-magnitude difference between
–3
10
and
9
10
.
4.
Determine the order of magnitude difference between gigameters and centimeters.
5.
Determine the order of magnitude difference between
11
5.1 10•
and
12
5.1 10•
.
6.
Using the graph, how many orders of magnitude larger is the radius of Earth than the
average radius of an atom?
A)
1016
B)
10–3
C)
1017
D)
1018
7.
How many orders of magnitude larger is a ton compared to a gram?
Page 2
8.
The pH scale measures the hydrogen ion concentration in a liquid, which determines
whether the substance is acidic or alkaline. A strong acid solution has a hydrogen ion
concentration of 10-1 M and would have a pH of 1. A neutral substance has a hydrogen
ion concentration of 10-7 M and would have a pH of 7. How many orders of magnitude
more hydrogen ions does a substance with a pH of 3.7 have than a substance with a pH
of 5.7?
Page 3
Answer Key