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 Area Area Volume Volume Mass Mass Time Time Measurement

2. 2  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: Conversion Factors

3. 3 Sara drives from Seattle, Washington to Tampa, Florida. She travels 3150 miles. How many kilometers has she traveled? Fence Post Method Length Example

4. 4 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 Method Length Example Distance in kilometers =

5. 5 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 Method Length Example Distance in kilometers =

6. 6 Mass

7. 7  1 kilogram = 1000 grams = 2.2 pounds  1 ounce = 28.35 grams  1 ton = 2000 pounds Mass: Conversion Factors

8. 8 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 Method Mass Example

9. 9 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 Method Mass Example

10. 10 Time

11. 11  1 minute = 60 seconds  1 hour = 60 minutes  1 day = 24 hours  1 week = 7 days  1 year = 365.15 days Time: Conversion Factors

12. 12 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 Method Time Example

13. 13 905000 sec1 min 60 sec 1 hr 60 min 1 day 24 hr 1 week 7 days Fence Post Method Time 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

14. 14 Volume

15. 15 Volume: Conversion Factors  1 ml = 1 cm 3  1 liter = 1000 cm 3  1 gallon = 3.786 liter Other handy conversion  1 ml water = 1 cm 3 has a mass of 1 gram

16. 16 Gold (Au) is sometimes used as a thin film in the chip industry. It has a density of 19300 kg/m 3. What is the density in lbs/ft 3 ? Fence Post Method Density Example #1

17. 17 Fence Post Method Density Example #1 19300 kg m 3 0.02832 m 3 1 ft 3 = 1,202.5 lb/ft 3 2.2 lb 1 kg (19300) (0.02832) (2.2) (1) (1) = lb ft 3