WLHS / Chem / Monson
Name
Date
Per
PROBLEM SET: Metric Units & Conversions (3.2-3.3)
Metric Conversion Factors:
1 km = 1000 m
1 m = 10 dm
100 cm
1000 mm
6
10 µm
109 nm
1 kg = 1000 g
1 g = 1000 mg
10 dg
100 cg
106 μg
109 ng
1 L = 1000 mL
106 μL
Kelvin = oC + 273
Part 1: Convert the following metric units:
(Use the margins or center to show the conversion factor you use!)
1) 63.3 m =
km
12) 25.5 mm =
m
2) 0.885 m =
mm
13) 0.554 L =
mL
3) 98.33 kg =
g
14) 162 mL =
L
4) 89.4 cm =
m
15) 2.00 g =
ng
5) 450. mL =
L
16) 5.42 x 10-5 cm =
6) 36.0oC =
K
17) 0.432 cm =
7) 0.923 m =
dm
18) 177.5 ng =
8) 6.30 X 10 mg =
g
19) 3.21 x 108 μg =
9) 0.049 L =
mL
20) -87.0°C =
10) 423 K =
oC
21) 5.57 x 10-3 mL =
11) 89.0 m =
cm
22) 975 μL =
3
μm
mm
μg
kg
K
μL
L
23) A quarter has a mass of about 5.65 g. Express this mass in milligrams, kilograms and micrograms.
mg
kg
24) Match the approximate mass with each item.
a peanut
A) 400 cg
a pear
B) 50 mg
a stamp
C) 60 kg
a person
D) 150 g
25) Convert the volume of a pop can, 365 mL, to liters and to microliters.
L
μL
µg
26) In order to compare the results of several experiments, you need to have all your data in the same units.
Convert the following measurements to the same unit.
16 kilograms
888 grams
0.00205 kilograms
155 milligrams
27) A recipe calls for 300 mL of water. You add 0.25 L. Have you put in too much, too little or the right amount?
Explain.
28) Determine which of the following measurements is largest: (circle the largest and put a square around the
smallest measurement).
1800 cm
2.1 m
Part 2: Conversions between Metric and English measurement units.
0.0017 km
Show your work for full credit.
Some necessary conversion factors:
English
1 inch
39.4 inch
1 mile
2.2 lbs.
1.06 qts
0.25 gal
=
=
=
=
=
=
Metric
2.54 cm
1m
1.61 km
1 kg
1L
1L
29) Keith’s doctor tells him that he is 182 cm tall. How tall is that, in
English units (feet and inches)?
30) McDonald’s makes a “Quarter Pounder” hamburger (0.25 lbs). How would this be expressed in Kilograms?
31) The gas station attendant fills up your car’s gas tank and tells you that she put in 38.50 liters of gas. How many
gallons is this?
32) Kelsey is running in a “10 K” race (10.0 kilometers). How many miles is this?
33) Greg weighs 168 lbs. What is his weight in kilograms? What is his weight in micrograms?