6

Pharmacy
Measurements and
Calculations

Learning Objectives

1 Convert Roman numerals to Arabic numerals (Section 6.1).

2 Convert percentages to and from fractions and to and from decimals and perform basic oper-ations with ratios and proportions, including finding an unknown quantity in a proportion. (Sections 6.2, 6.3)

3 Convert standard time to 24-hour time and temperatures to and from Fahrenheit and Celsius. (Section 6.4)

4 Describe the different systems of measurement (avoirdupois, imperial, apothecary, household, and metric) that have been used in pharmacy. (Section 6.5)

5 Explain why the metric system is the official pharmaceutical system, and describe the meanings of the prefixes most commonly used. (Section 6.6)

6 Convert from one metric unit to another (e.g., grams to milligrams, liters to milliliters). (Section 6.6)

7 Convert units to the metric system using equal proportion equations and dimensional analysis (unit cancellations). (Section 6.7)

8 Calculate dosages from weight-in-weight, volume-in-volume, and weight-in-volume concentration ratios. (Section 6.8)

9 Perform dosage calculations using body weight and body surface area. (Section 6.8)

10 Determine volume-in-volume powder measurements and administration volumes to reconstitute powdered medications. (Section 6.9)

11 Solve compounding problems involving powder volume in solutions and dilutions. (Section 6.9)

12 Apply the alligation alternate method to prepare solutions and topical products. (Section 6.9)

13 Calculate the specific gravity of a liquid and use milliequivalents. (Section 6.9)

ASHP/ACPE Accreditation Standards

To view the ASHP/ACPE Accreditation Standards addressed in this chapter, refer to Appendix B.

Pharmacy technicians use exact measurements in their daily work. When you measure liquids for reconstituting solutions or calculate the amount of ingredients for compounding drugs and preparing parenteral intravenous solutions, the measurements and calculations must be precise. A mistake can have severe consequences, such as drug side effects, toxicity, or even death. Consider this comparison: achieving 90% on your pharmacy calculations test might be an exemplary grade of an A, while achieving a 90% rate of error-free medication preparations would definitely be a failing grade and could cause terrible harm.

Therefore, it is essential for pharmacy technicians to understand the basic measurement systems, mathematical calculations, and formulas used in pharmacy and other healthcare fields. A knowledge of the fundamentals is critical to minimizing medication errors involving dosage, flow rates, and concentrations. This chapter is merely an introduction to lay the foundation for these mathematical skills and provides an overview of the kinds of calculation skills you will need. Additional specific calculations used in compounding are covered in Chapter 10, “Extemporaneous Nonsterile Compounding,” and Chapter 13, “Sterile and Hazardous Compounding.” The retail math concepts of how to calculate markups and discounts and make change are covered in Chapter 9, “The Business of Community Pharmacy.”