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Section 8.4 Dimensional Analysis and Conversions to and from the Metric System

Section 8.4 Dimensional Analysis and Conversions to and from the Metric System. What You Will Learn. Dimensional Analysis Unit Fractions Conversions to and from the Metric System. Dimensional Analysis.

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Section 8.4 Dimensional Analysis and Conversions to and from the Metric System

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  1. Section 8.4Dimensional Analysis and Conversions to and from the Metric System

  2. What You Will Learn • Dimensional Analysis • Unit Fractions • Conversions to and from the Metric System

  3. Dimensional Analysis • Dimensional analysisis a procedure used to convert from one unit of measurement to a different unit of measurement.

  4. Dimensional Analysis A unit fractionis any fraction in which the numerator and denominator contain different units and the value of the fraction is 1. Examples of unit fractions:

  5. U.S. Customary Units 1 foot = 12 inches 1 quart = 2 pints 1 yard = 3 feet 1 gallon = 4 quarts 1 mile = 5280 feet 1 minute = 60 seconds 1 pound = 16 ounces 1 hour = 60 minutes 1 ton = 2000 pounds 1 day = 24 hours 1 cup (liquid) = 8 fluid ounces 1 year = 365 days 1 pint = 2 cups U.S. Customary Units

  6. Example 1: Using Dimensional Analysis A container contains 26 ounces of salt. Convert 26 ounces to pounds. Solution Thus, 26 oz equals 1.625 lb.

  7. Example 3: Using Several Unit Fractions Convert 60 miles per hour to feet per second. Solution

  8. Conversion to and from the Metric System - Length

  9. Conversion to and from the Metric System - Area

  10. Conversion to and from the Metric System - Area

  11. Conversion to and from the Metric System - Volume

  12. Conversion to and from the Metric System – Weight (Mass)

  13. Example 4: Volume and Length Conversions a) A recipe requires 3½ cups of chicken broth. How many liters does this amount equal? Solution

  14. Example 4: Volume and Length Conversions b) A man measures 1.86 m. What is his height in feet? Solution

  15. Example 5: Area Conversion An area of 54.62 hectares is for sale. Find the area in acres. Solution

  16. Example 7: Administering a Medicine A nurse must administer 4 cc of codeine elixir to a patient. a) How many milliliters of the drug will be administered? Solution Since 1 cc = 1 ml, the nurse will administer 4 ml of the drug.

  17. Example 7: Administering a Medicine b) How many ounces is this dosage equivalent to? Solution

  18. Example 10: Determining Dosage by Weight Drug dosage is often administered according to a patient’s weight. For example, 30 mg of the drug vancomycin is to be given for each kilogram of a person’s weight. If Martha Greene, who weighs 136 lb, is to be given the drug, what dosage should she be given?

  19. Example 10: Determining Dosage by Weight Solution 30 mg, 136 lb Amount of drug

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