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1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length Area Area Volume Volume Mass Mass Time Time Measurement Measurement

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Page 1: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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

Page 2: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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

Page 3: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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

Page 7: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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

Page 8: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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

Page 10: 1 Measure variables with two systems Measure variables with two systems Convert from one system to another Convert from one system to another Length Length

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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