Hfcc Math Lab Nat 05 Conversions Using Dimensional Analysis Worksheet With Answer Key - 2011 Page 2
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1
2
3
4
51
Ex1: How many feet are in
3
yards?
2
1
1
1
=
×
3
yards 3
yd
1
(Multiplying by 1 does not change the value of 3
yds.)
2
2
2
1
3
yd
3 ft
3ft
(
)
2
=
×
=
=
Since 3 ft 1 yd, then 1
See note below.
1
1 yd
1 yd
1
3
yd
3 ft
2
=
×
(Cancel yd, which is the unwanted unit. You then
1
1 yd
are left with ft, the unit that you are changing to.)
1
7 3
21
×
×
3
3 ft
ft
ft
1
2
2 1
2
=
=
=
=
10
ft
(Do the arithmetic.)
1
1
1
2
1
1
=
Therefore 3
yd 10
ft.
2
2
1 yd
=
=
NOTE:
From the conversion equation, 3 ft 1 yd
, we could also get
1
.
However, if we
3 ft
1
3 yd
1yd
2
×
the yd would not cancel.
multiply
1
3ft
Steps to follow when converting from one unit of measure to another:
1.
Find the conversion that relates the units you have and the units you want.
2.
Multiply the measurement you are given by a fraction equal to 1 (unit fraction) using the
conversion you chose in Step 1. Be sure to write the unit fraction in such a way so that you can
cancel the unwanted units.
3.
Cancel the unwanted units.
4.
Find an answer to the arithmetic problem that is left.
COMMONLY USED CONVERSION FACTORS:
The HESI assumes you know many common conversions. Many people have the following conversions
memorized:
LENGTH
VOLUME
WEIGHT/MASS
TIME
12 inches = 1 foot
1000 ml = 1 L
16 oz. = 1 lb.
60 sec. = 1 min.
1 inch = 2.54 cm
8 ounces = 1 cup
2.2 lb. = 1 kg
60 min. = 1 hour
100 cm = 1 m
16 ounces = 1 pint
2000 lb. = 1 ton
24 hours = 1 day
1000 m = 1 km
1 pint = 2 cups
1000 g = 1 kg
365 days = 1 year
1 mile = 1.6 km
2 pints = 1 quart
1000 mg = 1 g
4 quarts = 1 gallon
Revised 5/2011
2
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