1 measure variables with two systems measure variables with two systems convert from one system to...
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• Measure variables with two systems Measure variables with two systems • Convert from one system to anotherConvert from one system to another
• LengthLength• AreaArea• Volume Volume • MassMass• TimeTime
MeasurementMeasurement
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1 meter = 39.37 inches = 3.281 feet
1 inch = 25.4 millimeter
1 kilometer = .621 miles = 1000 meters
1 mile = 1609.3 meters
Length: Length: Conversion Conversion FactorsFactors
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Sara drives from Seattle, Washington to Tampa, Florida. She travels 3150 miles. How many kilometers has she traveled?
Fence Post Fence Post MethodMethodLength ExampleLength Example
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3150 miles
Use the conversion factor that 1 kilometer is equal to 0.621 miles: 1 km = 0.621 miles
1 kilometer
0.621 miles
Fence Post Fence Post MethodMethodLength ExampleLength Example
Distance in kilometers
=
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3150 miles
Cancel units that occur in the numerator and the denominator
1 kilometers
0.621 miles
= 5072 kilometers(3150) (1)
(0.621)= Kilometers
Fence Post Fence Post MethodMethodLength ExampleLength Example
Distance in kilometers
=
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MassMass
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1 kilogram = 1000 grams = 2.2 pounds 1 ounce = 28.35 grams 1 ton = 2000 pounds
Mass: Mass: Conversion Conversion FactorsFactors
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Lexington Chemical owns two Sulfuric acid plants, one in France and one in The United States. The Plant in France produced 10,000 kilograms of sulfuric acid in the month of May. The Plant in the United States Produced 7,000 pounds of sulfuric acid in the month of May.
Sulfuric Acid Tanks
How many total pounds of Sulfuric acid does Lexington Chemical produce in the month of May?
Fence Post Fence Post MethodMethodMass ExampleMass Example
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10000 kilograms 2.2 pounds
1 kilograms
= 22,000 lbs in France
Cancel units that occur in the numerator and the denominator
22,000 lbs + 7,000 lbs = 29,000 lbs
(10000) (2.2) (1)
= lbs
Fence Post Fence Post MethodMethodMass ExampleMass Example
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TimeTime
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1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 week = 7 days 1 year = 365.15 days
Time: Time: Conversion Conversion FactorsFactors
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Waste water is emitted into the Saviee River. It takes 905,000 seconds for the waste water to reach the ocean from the discharge point in the river. How many weeks will it take the waste water to reach the ocean?
Fence Post Fence Post MethodMethodTime ExampleTime Example
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905000 sec 1 min
60 sec
1 hr
60 min
1 day
24 hr
1 week
7 days
Fence Post Fence Post MethodMethodTime ExampleTime Example
Use the conversion factors that 1 minute = 60 seconds, 60 minutes = 1 hour, 24 hours = 1 day and 7 days = 1 week.
= 1.496 weeks (905000) (1) (1) (1) (1)
(60) (60) (24) (7)= weeks
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VolumVolumee
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Volume: Volume: Conversion Conversion FactorsFactors
1 ml = 1 cm3
1 liter = 1000 cm3 1 gallon = 3.786 liter
Other handy conversion 1 ml water = 1 cm3 has a mass of 1
gram
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Gold (Au) is sometimes used as a thin film in the chip industry. It has a density of 19300 kg/m3. What is the density in lbs/ft3 ?
Fence Post Fence Post MethodMethodDensity Example Density Example #1#1
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Fence Post Fence Post MethodMethod
Density Example Density Example #1#1
19300 kg
m3
0.02832 m3
1 ft3
= 1,202.5 lb/ft3
2.2 lb
1 kg
(19300) (0.02832) (2.2) (1) (1)=
lb
ft3