> +-*b jbjb "mm& ((((<
lddddd,vR"mddmmm:8ddm$mmmX.(K"mm0
mJmJmm $
D DName_____________
Date______________
Class_____________
Conversions Review- Show All Work!
DISTANCE
1. 14 feet = _____ meters
2. 311 m = _____feet
3. 433 cm = _____ inches
4. 1002 km = _____ miles
VOLUME
5. 703 L = _____ qt
6. 222 mL = _____ fl oz
7. 560 mL = _____fl oz
MASS
8. 250 lbs = _____ kg
9. 0.5 oz = _____ g
10. 76 g = _____ oz
Dimensional Analysis
A Cool Way To Solve Mathematical Problems
Dimensional analysis is a skill used to convert from one unit to another. It involves determining what units are given in a problem and what units the answer should be in. By using conversion factors the process is made simple. A conversion factor is a fraction that always equals one.
For example, 1 kilometer equals 1000 meters. So the fraction 1km/1000m equals 1. So does the fraction 1000m/1km. The top number in a fraction is called the numerator. The bottom number in a fraction is called the denominator.
In a conversion factor the numerator always equals the denominator so that the fraction always equals 1.
The six-step process for dimensional analysis is:
1. State what is given in the problem with units.
2. State what you need to know for the answer with units.
3. Identify the relationship between what you have and what you need to have.
4. Begin to set up the problem by writing an equation
5. Choose your conversion(s) that you need to use to solve the problem. Write all conversions as fractions that are equal to 1.
6. Work with the units in the problem first then work with the numbers.
1 inch = 0.083 feet
1 meter = 3.28 feet
1 meter = 1.09 yards
1 kilometer = 0.62 miles
1 inch = 2.54 cm
1 liter = 1.06 quarts
1 ml = 0.034 fl oz
1 pound = 0.453 kg
1 oz = 28. 3 grams
8]^g/3yow x *
#$%˻檙s__LH>h|CJOJQJh|$h!h|5B*CJ$OJQJph'h!h|56B*CJOJQJph$h!h|6B*CJOJQJph$h!h|5B*CJOJQJph!h!h|B*CJOJQJph!h!h|B*CJ0OJQJphh|h|5>*CJ OJQJ5jh|h|CJ OJQJUaJmHnHsHtHh|h|CJ OJQJh|h|CJOJQJ%89\]g-.$a$$a$&./4KLMbcdy )
*
\
]
WX$%&;<PQfg%&h|h-h|5CJh|OJQJ 1h/ =!"#`$`%<@<|NormalCJaJmH sH tH DA@DDefault Paragraph FontZiZTable Normal :V4
l4a_H(k(No ListHHBalloon TextCJOJQJ^JaJ z zy%89\]g-./4KLMbcdy)*\] WX$%&;<PQfg0@p0@p0@p0@p0@p0@p00@p0@p00@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p0@p000000000000000000000000@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0,@n)*\] WX$zzzzzzzzzzzzzzzz zzz
@ `z8`z8D%.
/XB$LMy!B$Hg| cJ@(
H
#
B
S ?]4A$ut\\&\]&%Q@Z
%sp@UnknownGTimes New Roman5Symbol3Arial;HelveticaCComic Sans MS5Tahoma"0h|F|F