Medical Dosage Calculation A Dimensional Analysis Approach Tenth
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Medical Dosage Calculation A Dimensional Analysis Approach Tenth Edition CHAPTER 5 Converting from One System of Measurement to Another Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Directory • Classroom Response System Questions • Lecture Note Presentation Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Classroom Response System Questions Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #1 Convert 75 micrograms to milligrams. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #1 Choices 1. 2. 3. 4. 0. 075 mg 0. 57 mg 0. 75 mg 0. 0075 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #1 Response 1. 2. 3. 4. 0. 075 mg 0. 57 mg 0. 75 mg 0. 0075 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #2 The prescriber has ordered 25 milligrams of captopril (Capoten) po. What is the equivalent quantity in micrograms? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #2 Choices 1. 2. 3. 4. 0. 00025 mcg 25, 000 mg 2, 500 mcg 25, 000 mcg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #2 Response 1. 2. 3. 4. 0. 00025 mcg 25, 000 mg 2, 500 mcg 25, 000 mcg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #3 The prescriber ordered Cyanocobalomin 200 mcg po. What would be the equivalent in milligrams? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #3 Choices 1. 2. 3. 4. 0. 2 mg 0. 02 g 0. 002 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #3 Response 1. 2. 3. 4. 0. 2 mg 0. 02 g 0. 002 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #4 Convert 450 milliliters to liters. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #4 Choices 1. 2. 3. 4. 0. 45 m. L 0. 0045 L 0. 45 L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #4 Response 1. 2. 3. 4. 0. 45 m. L 0. 0045 L 0. 45 L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #5 A patient’s weight went from 290 lb to 246 lb. How many kilograms did the patient lose? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #5 Choices 1. 2. 3. 4. 16 kg 18 kg 20 kg 22 kg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Question #5 Response 1. 2. 3. 4. 16 kg 18 kg 20 kg 22 kg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Lecture Note Presentation Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Learning Objectives 1. State the equivalent units of weight between the metric and household systems. 2. State the equivalent units of volume between the metric and household systems. 3. State the equivalent units of length between the metric and household systems. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Learning Objectives (continued) 4. Convert a quantity from one system of measurement to its equivalent in another system of measurement. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Equivalents of Common Units of Household and Metric Measurement Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Table 5. 1 Approximate Equivalents between Metric and Household Units of Volume, Weight, and Length Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Table 5. 2 Summary Table of Equivalents Within and Approximate Equivalents Between Metric and Household Units of Volume Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Note: Here are some useful equivalents: 6 t = 2 T = 1 oz = 30 m. L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Figure 5. 2 Medication cup filled to 10 m. L. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Figure 5. 1 Medication cups showing equivalent units. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 1 • Convert 8 teaspoons to an equivalent volume measured in milliliters. 8 t = ? m. L Equivalence needed for the unit fraction is 1 t = 5 m. L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 1 (continued) = 40 m. L So, 8 t = 40 m. L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 2 • Convert 60 milliliters to an equivalent volume measured in ounces. 60 m. L = ? oz Equivalence needed for the unit fraction is 1 oz = 30 m. L Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 2 (continued) 2 1 = 2 oz So, 60 m. L = 2 oz Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 3 • A patient weighs 150 pounds. What is the patient’s weight measured in kilograms? 150 lb = ? kg The equivalence needed for the unit fraction is 1 kg = 2. 2 lb Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 3 (continued) = 68. 18 kg So, the 150 lb patient weighs about 68 kg. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 4 • An Infant weighs 4 kilograms. What is the infant’s weight measured in pounds and ounces? First convert 4 kg to pounds: Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton 4 kg = ? lb Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 4 (continued) • The equivalence needed for the unit fraction is 1 kg = 2. 2 lb = 8. 8 lb Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 4 (continued) • Now, convert 0. 8 lb to ounces. 0. 8 lb = ? oz = 12. 8 oz ≈ 13 oz So, the 4 kg infant weighs about 8 lb 13 oz Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 5 • A tumor has a diameter of 2 inches. What is the diameter of the tumor measured in millimeters? 2 in = ? mm First change the inches to centimeters The unit fraction is obtained from the fact that 1 inch = 2. 5 cm Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 5 (continued) = 5 cm So, the 2 inch tumor has a diameter of 5 centimeters. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 5 (continued) Now, change 5 cm to millimeters. 5 cm = ? mm To convert centimeters to millimeters is a jump of 1 place to the right. meter decimeter centimeter millimeter m dm cm mm Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 5 (continued) • So, in 5 cm, move the decimal point 1 place to the right. 5 cm = 5. 0 cm 5 0 mm So, the tumor has a diameter of 50 millimeters. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 6 A medication cup contains 22. 5 milliliters of a solution. How many tablespoons are in the medication cup? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 7 Jennifer weights 115 pounds 8 ounces. What is her weight in kilograms? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 8 An infant weighs 6 kilograms. What is the infant’s weight measured in pounds and ounces? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Example 5. 9 A tumor has a diameter of 2 inches. What is the diameter of the tumor measured in millimeters? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Chapter Summary • It is important to memorize all the equivalences for volume, weight, and length between the metric and household systems of measurement. • Dimensional Analysis can be used to perform conversions between the metric and household systems. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Chapter Summary Chapter • The equivalences between systems are not exact equivalences; they are approximate equivalences. • When performing conversions between two systems, your answers are not exact; they are approximate. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
Chapter Summary Chapter • When performing conversions between two systems, answers may differ somewhat, depending upon which approximate equivalences are used. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright © 2012, © 2008 by Pearson Education, Inc. All rights reserved.
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