1. © 2010 Pearson Prentice Hall. All rights reserved Converting Units § 6.4

2. Tobey & Slater, Basic College Mathematics, 6e2 Converting Between Systems To convert between American units and metric units, it is helpful to have equivalent values. American to MetricMetric to American Units of length 1 mile  1.61 kilometers 1 yard  0.914 meter 1 foot  0.305 meter 1 inch = 2.54 centimeters 1 kilometer  0.62 mile 1 meter  1.09 yards 1 meter  3.28 feet 1 centimeter  0.394 inch Units of volume 1 gallon  3.79 liter 1 quart  0.946 liter 1 liter  0.264 gallon 1 liter  1.06 quarts Units of weight 1 pound  0.454 kilogram 1 ounce  28.35 gram 1 kilogram  2.2 pounds 1 gram  0.0353 ounce

3. Tobey & Slater, Basic College Mathematics, 6e3 Unit Abbreviations Common Unit Abbreviations American Measure (Alphabetical Order) Standard Abbreviation feet gallon inch mile ounce pound quart yard ft gal in. mi oz lb qt yd Metric Measure Standard Abbreviation centimeter gram kilogram kilometer liter meter millimeter cm g kg km L m mm

4. Tobey & Slater, Basic College Mathematics, 6e4 Converting Metric Units Example: Convert 5 m to yd. Example: Convert 124 gal to L. Example: Convert 500 cm to ft. (rounded to the nearest hundredth)

5. Tobey & Slater, Basic College Mathematics, 6e5 Converting Metric Units Example: A race car crosses the finish line at 200 miles per hour. How many feet per second is the car traveling? The same conversion rules can be applied to rates such as 50 miles per hour. The car is traveling 293 feet per second.

6. Tobey & Slater, Basic College Mathematics, 6e6 Converting Temperatures In the metric system, temperature is measured on the Celsius scale. Water boils at 100°C and freezes at 0°C. In the Fahrenheit system, water boils at 212°F and freezes at 32°F. To convert Celsius to Fahrenheit, we can use the formula where C is the number of Celsius degrees and F is the number of Fahrenheit degrees. F = 1.8  C + 32,

7. Tobey & Slater, Basic College Mathematics, 6e7 Converting Temperatures Example: Convert 105°C to Fahrenheit. F = 1.8  C + 32 = 1.8  105 + 32 = 189 + 32 = 221 ° F Example: Convert 21°C to Fahrenheit. F = 1.8  C + 32 = 1.8  21 + 32 = 37.8 + 32 = 69.8 ° F

8. Tobey & Slater, Basic College Mathematics, 6e8 Converting Temperatures To convert Fahrenheit to Celsius, we can use the formula where F is the number of Fahrenheit degrees and C is the number of Celsius degrees. Example: Convert 131°F to Celsius.