conversion problems metric and non-metric. metric to metric conversions 3 step solution: 1.start...
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Conversion Problems
Metric and Non-Metric
Metric to Metric Conversions
3 Step Solution:
1. Start with the given, in this example it’s 5 m.
2. Use the conversion factor and make a fraction from it such that it cancels out the known unit.
3. Cancel out numbers and units to get the unknown.
Q 1) Convert 5 meters to centimeters.
Conversion Factor(s):
1 m = 100 cm
You can make two fractions from the conversion factor (1m = 100cm).
m
cm
1
100
cm
m
100
1OR
Our aim is to cancel out the meters and retain the Cm in the final answer. So setup the problem by using the second fraction.
Metric to Metric Conversions
Solution:
Q 1) Convert 5 meters to centimeters.
Conversion Factor(s):
1 m = 100 cm
cmm
cmm 500
1
1005
Metric to Metric Conversions
Solution:
Q 2) Convert 0.5 meters to millimeters.
Conversion Factor(s):
1 m = 100 cm1 cm = 10 mm
Metric to Metric Conversions
Solution:
Q 3) Convert 750 meters to kilometers.
Conversion Factor(s):
1 km = 1000 m
kmkm
m
kmm
75.01000
7501000
1750
?1
1000750
km
mm
Metric to Metric Conversions
Solution:
Q 4) Convert 50 milligrams to kilograms.
Conversion Factor(s):
1 kg = 1000 g1 g = 1000 mg
Mixed ConversionsSolution:
Q 5) Convert 175 centimeters to feet.
Conversion Factor(s):
1 ft = 30 cm
ftcm
ftcm
83.530
1175
Solution:
Q 6) Convert 80 kilograms to pounds.
Conversion Factor(s):
1 kg = 2.2 lb
Mixed Conversions
Solution:
Q 7) Convert 1mile to yards.
Conversion Factor(s):
1 mile = 1609 m1 m = 1.1 yards
yardsm
yards
mile
mmile
9.17691
1.1
1
16091
Mixed Conversions
Solution:
Q 8) You paid $62 to fill a tank at $3.95 per gallon. Your car gives 28 miles/gallon. How far can you drive?
Conversion Factor(s):
Mixed Conversions
Solution:
Q 9) Convert 60 ounces to kilograms.
Conversion Factor(s):
1 oz = 28 g1kg = 1000 g
kg
g
kg
oz
goz
68.1
1000
1
1
2860
Mixed Conversions
Solution:
Q 10) Convert 100 mph to kmph.
Conversion Factor(s):5 miles = 8 km
Mixed Conversions
Solution:
Q 11) Convert 100 mph to meters per second.
Conversion Factor(s):1 mile = 1609 m1 h = 3600 s
sms
h
mile
m
h
miles
/69.443600
1
1
1609
1
100
Mixed Conversions
Solution:
Q 12) Convert 6 feet 3 inches to meters.
Conversion Factor(s):1 m = 3.3 ft1 inch = 2.54 cm1 m = 100 cm
Mixed Conversions
Solution:
Q 13) How many seconds are there in a day?
Conversion Factor(s):
s
s
hd
hd
400,86min1
60
1
min60
1
241
Mixed Conversions
Solution:
Q 14) Calculate the number of days a person of age 16 years, 3 months, and 2 weeks has lived so far.
Conversion Factor(s):As usual
Mixed Conversions
Solution:
Q 15) If a persons’ heart beats 72 times per minute, how many times does his heart beat in one day?
Conversion Factor(s):As usual
daybeatsd
h
h
beats
/680,1031
24
1
min60
min1
72
Mixed Conversions