Unit Conversions Packet
Name:
Block:
Date:
Miss Mercer
FACTOR-LABEL METHOD
1. Write the number and the units you are starting with (the “given” information) as a fraction with a
one (1) as the denominator (1st fraction)
2. Find the appropriate conversion factor (relationship between the starting units and the finishing units)
3. Set up the conversion factor (2nd fraction):
-The units you are starting out with go on the bottom (denominator) so that they cross-off
-The units you want to end up with go on the top (numerator)
4. Multiply the numerators
5. Multiply the denominators
6. Divide the numerator by the denominator
7. Write your answer including the units
GUIDED PRACTICE PROBLEMS:
1. Convert 20.33 m to km
Known (given)
= 20.33 m
Unknown (answer) Conversion factor
= _________ km 1000 m = 1.00 km
20.33 𝑚
1 𝑘𝑚
(
)(
) = ? 𝑘𝑚
1
1000 𝑚
In your calculator: (20.33)(1) ÷ (1)(1000) = ?
2. Convert 13.05 mL to L
Known (given) Unknown (answer) Conversion factor
= 13.05 mL
= _________ L
1000 mL = 1.00 L
13.05 𝑚𝐿
1𝐿
(
)(
) = ?𝐿
1
1000 𝑚𝐿
In your calculator: (13.05)(1) ÷ (1)(1000) = ?
3.
Convert 32.27 kg to g
Known (given)
= 32.27 kg
Unknown (answer) Conversion factor
= _________ g
1000 g = 1.00 kg
32.27 𝑘𝑔 1000 𝑔
(
)(
) = ?𝑔
1
1 𝑘𝑔
In your calculator: (32.27)(1000) ÷ (1)(1) = ?
4.
Convert 13.09 mm to m
Known (given) Unknown (answer) Conversion factor
= 13.09 mm
= _________ m
1000 mm = 1.00 m
13.09 𝑚𝑚
1𝑚
(
)(
) = ?𝑚
1
1000 𝑚𝑚
In your calculator: (13.09)(1) ÷ (1)(1000) = ?
5. Convert 3.47 mg to g
Known (given) Unknown (answer) Conversion factor
= 3.47 mg
1000 mg = 1.00 g
= _________ g
3.47 𝑚𝑔
𝑔
(
)(
) = ?𝑔
1
𝑚𝑔
6. Convert 33.81 kg to g
Known (given)
= _________ kg
7. Convert 9.92 L to mL
9.92 𝐿
(
)(
1
Conversion factor: 1000 mL = 1.00 L
𝑚𝐿
)=
𝐿
8. Convert 2.61 g to mg
2.61 𝑔
(
1
Unknown (answer) Conversion factor
= _________ g
1000 g = 1.00 kg
33.81 𝑘𝑔
(
)(
)=
1
𝑘𝑔
)(
9. Convert 24.37 km to m
10. Convert 28.77 L to mL
11. Convert 22.04 kg to g
12. Convert 9.42 L to mL
13. Convert 20.03 m to mm
Conversion factor:
)=
INTEGRATED PRACTICE:
1 kg = 2.2 lbs
1. 2.5 kg = _______ lbs
2. 1.0 lb
= _______ kg
3. 100.0 cm =________ inches
4. 12.0 in
= ________ cm
5. 1.0 mi
= ________ km
6. 5.0 km
= ________ mi
7. 36 in
= ________ m
8. 250 m = ________ mi
Show all of your work using the factor-label method
Conversion Factors:
1 inch = 2.54 cm
1 km = 0.6215 miles
Write the prefixes for the metric system in order, left to right (smallest  largest).
MORE METRIC CONVERSIONS:
SHOW ALL WORK
SHOW ALL WORK
SHOW ALL WORK
2. 4 m = _____mm
3. 49 cm = _____m
4. 16 kg = _____g
5. 97 cm = _____mm
6. 25 L = _____mL
7. 437 mg = _____g
8. 4.3 km = _____m
9. 5 mm = _____cm
10. 1.6 L = _____mL
11. 87.5 cm = _____m
12. 9762 g = ______kg
13. 8.9 cm = _____mm
14. 3.42 m = _____cm
15. 576 L = _____kL
16. 56 g = _____mg
17. 97.62kg = ______g
18. 2.5 kL = _____L
19. 4.37 mg = _____g
20. 5.5 cL = ______ mL
21. 8.47 kg = ____ cg
22. 253 mm = ____ km
Learn the meaning of the SI prefixes listed below. These prefixes can be used with any SI base measure.
For example, 1 kg = 103 g, 1 km = 103 m, 1 kL = 103 L
SI PREFIXES:
Prefix
gigamegakilo-
Symbol
G
M
k
SI BASE UNITS:
Length
Mass
Volume
Time
Temperature
Multiplier
× 109
× 106
× 103
meters (m)
kilograms (kg)
cubic meters (m3)
seconds (s)
kelvins (K)
Prefix Symbol
decicentimillimicronano-
Multiplier
d
× 10-1
c
× 10-2
m
× 10-3

× 10-6
n
× 10-9
OTHER COMMON UNIT CONVERSIONS:
Volume:
1 liter (L) = 1 dm3 = 103 cm3
1 mL = 1 cm3
Make the following calculations and conversions. Show work. Include units throughout the problem.
Circle your final answer. Report answers rounded to the correct number of significant figures. Present
neat and organized solutions (show your work and record your answers on a separate sheet of paper).
1) Convert 0.058 grams to centigrams.
2) Convert 2.45 × 10-7 meters to nanometers.
3) Convert 1.5 kilograms to milligrams.
4) Trent Cole is a defensive end for the Philadelphia Eagles. According to the Philadelphia Eagles
homepage, he stands 6’3” tall. Convert 6’3” to centimeters. Exactly 2.54 cm equals 1 in.
5) According to the same source, Trent Cole weighs 270 lb. Calculate Trent’s mass in kilograms.
Assume 1 lb equals 454 grams.
6) Convert 250 cubic centimeters to liters.
7) Convert 0.00000083 milligrams to micrograms.
8) Convert 2.5 gigahertz to megahertz.
9) A car travels at a speed of 140 kilometers per hour. Convert this speed to meters per second.
10) A car travels at a speed of 35 mi/h. Convert this speed to m/s. Assume that 1.609 km = 1 mi.
11) How many kilometers will light travel in one year? The measured speed of light in a vacuum is
3.00 × 108 m/s.
12) It takes Eagles’ tailback LeSean McCoy 4.5 seconds to run 100 yards. How long will it take
LeSean to run 100 meters? (2.54 cm = 1 in.)
13) Gold has a density of 19.3 grams per cubic centimeter. Convert this density to kilograms per
liter.
14) What is the mass of a 50.0 mL sample of lead? The density of lead is 11.4 g/cm3.
15) A box measures 25 centimeters by 33 millimeters by 4.5 × 104 micrometers. Calculate the
volume of the box in liters.
16) A cube has a volume of 1.95 liters. Calculate the length of an edge of the cube in centimeters.
17) Convert the volume of the box from question 16 to cubic inches.