Factor

1
Chapter 8

• Factor Label Method
• Parts 1 2

2
24 in. ___ ft.
3
You have just used a conversion factor.
4
Conversion Factors

• An equality is a ratio is a conversion factor.
• A relationship between two units expressed in
  fractional form

5
Conversion Factors

• A conversion factor is a ratio
• 12 inches or 1 foot
• 1 foot 12 inches

6
Factor Label Method

• Method of converting from one unit to another
  using conversion factors

7
24 in. ___ ft.
We can solve this problem using factor label
method.
8
Prefixes in the Metric System
Prefix Symbol Value Power Use








Giga G 1,000,000,000 109 Gigabyte
Mega M 1,000,000 106 Megawatt
kilo k 1,000 103 kilometer
deci d 0.1 10-1 decigram
centi c 0.01 10-2 centimeter
milli m 0.001 10-3 milliliter
micro ? 0.000001 10-6 microsecond
nano n 0.000000001 10-9 nanometer
9
An Example of a Metric Conversion Factor

• 1000 m 1 km

This can be written as the factors ...
10
An Example Problem

• Convert 10.83 cm to meters using the Factor Label
  Method.

11
Convert 10.83 cm to meters
10.83cm
12
Convert 10.83 cm to meters
10.83cm
cm
13
Convert 10.83 cm to meters
10.83cm
m
cm
14
Convert 10.83 cm to meters
10.83cm
m
0.01
cm
15
Convert 10.83 cm to meters
10.83cm
m
0.01
0.1083 m
cm
16
Convert 152dg to mg
17
Convert 152dg to mg
18
Convert 152dg to mg
152dg
19
Convert 152dg to mg
152dg
dg
20
Convert 152dg to mg
152dg
g
dg
21
Convert 152dg to mg
152dg
0.1g
dg
22
Convert 152dg to mg
152dg
0.1g
dg
23
Convert 152dg to mg
152dg
0.1g
dg
g
24
Convert 152dg to mg
mg
152dg
0.1g
dg
g
25
Convert 152dg to mg
mg
152dg
0.1g
dg
g
0.001
26
Convert 152dg to mg
mg
152dg
0.1g
15,200mg
dg
g
0.001
27
Convert 6896s to weeks

6896s
28
Convert 6896s to weeks
6896s
min
60s
29
Convert 6896s to weeks
6896s
min
hr
60s
60min
30
Convert 6896s to weeks
6896s
min
hr
day
60s
60min
24hr
31
Convert 6896s to weeks
6896s
min
hr
day
week
60s
60min
24hr
7 days
32
Convert 6896s to weeks
6896s
min
hr
day
week
60s
60min
24hr
7 days
0.01140 weeks
33
Convert 152 mL to dL
34
Convert 152 mL to dL

• 1.52 dL

35
Convert 1.38kg to cg
36
Convert 1.38kg to cg

• 138,000 cg

37
Convert 0.56 cm to ?m
38
Convert 0.56 cm to ?m

• 5600 ?m

39
Convert 150.0 mg/hr to cg/year
40
Convert 150.0 mg/hr to cg/year
150.0mg
hr
41
Convert 150.0 mg/hr to cg/year
150.0mg
0.001g
hr
mg
42
Convert 150.0 mg/hr to cg/year
150.0mg
0.001g
cg
hr
mg
0.01g
43
Convert 150.0 mg/hr to cg/year
150.0mg
0.001g
cg
24 hr
hr
mg
0.01g
day
44
Convert 150.0 mg/hr to cg/year
150.0mg
0.001g
cg
24 hr
365 days
131,400 cg/year
hr
mg
0.01g
day
year
45
The maximum dosage of a medication is 50,000
µg/day. An IV drip can be set in mg/hr. What
should the IV drip be set at?
46
The maximum dosage of a medication is 50,000
µg/day. An IV drip can be set in mg/hr. What
should the IV drip be set at?
2.08 mg/hr
47
A geologist measures an advancing glacier at a
rate of 2.50 mm/hr. What is this rate in
km/year?
48
A geologist measures an advancing glacier at a
rate of 2.50 mm/hr. What is this rate in
km/year?
0.0219 km/year
49
A town is 4.3 km away. How many years does it
take the glacier to reach the town.
50
A town is 4.3 km away. How many years does it
take the glacier to reach the town.
196 years
51
How many minutes does it take light to reach us
from the sun which is 93,000,000 miles distant.
52
How many minutes does it take light to reach us
from the sun which is 93,000,000 miles distant.

• The following information will be useful
• speed of light 3.0 x 108 m/s
• 1km 0.6214 mi

53
How many minutes does it take light to reach us
from the sun which is 93,000,000 miles distant.
The following information will be useful speed
of light 3.0 x 108 m/s 1km 0.6214 mi
93,000,000 mi
54
How many minutes does it take light to reach us
from the sun which is 93,000,000 miles distant.
93,000,000 mi
km
1000 m
s
min
8.3 min
0.6214 mi
km
3.0 x 108 m
60 s
55
Homework

• Factor Label Problems (10 questions)