**Publisher’s Note:**Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product.

**Help your students learn to calculate dosages accurately with this easy-to-use pocket guide.**

Packed with real clinical examples and practice problems,

**Math for Nurses**includes a review of basic math skills, measurement systems, and drug calculations/preparations, making it ideal for use in clinical settings or as a study aid. The book’s step-by-step approach coupled with frequent examples that illustrate problem-solving helps students develop the knowledge and skills they need to calculate dosages effectively and improve the accuracy of drug delivery.

**Highlights of the 9th Edition**

**Complete:**This is the only dosage calculation pocket reference available today that covers the steps of drug preparation.

**Comprehensive:**All methods of dosage calculations are used, including ratio, proportion, formula, and dimensional analysis.

**Hands-on:**Practice problems throughout the text and end-of-chapter and end-of-unit review questions aid students' application and recall of material.**Practical:**A handy pull-out quick-reference card contains basic equivalents, conversion factors, and math formulas.**Interactive:**Virtual Chalkboard tutorials (followed by quizzes) solve problems step-by-step using three different methods with a voice over that explains each step.

### Author Biography

**Mary Jo Boyer**, RN, PhD

Vice Provost and Vice President

Branch Campus Operations

Adjunct Nursing Faculty

Former Dean and Professor of Nursing

Delaware County Community College

Media, Pennsylvania

### Table of Contents

**UNIT 1**

*Basic Mathematics Review and Refresher 1***1 Preassessment Test: Mathematics Skills Review 3**

2 Fractions 9

2 Fractions 9

The Denominator of a Fraction 10

The Numerator of a Fraction 12

Concept of Size 13

Types of Fractions and Value 15

Equivalent or Equal Fractions 17

Simplify or Reduce Fractions to Their Lowest Terms 18

Find the Least Common Denominator 20

Conversion 21

Adding Fractions 24

Adding Mixed Numbers 28

Subtracting Fractions 29

Subtracting Mixed Numbers 31

Multiplying Fractions 36

Dividing Fractions 38

End of Chapter Review 42

**3 Decimals 45**

Compare Decimal Values 49

Adding Decimals 51

Subtracting Decimals 52

Multiplying Decimals 53

Multiplying by 10, 100, or 1,000 55

Dividing Decimals 55

Dividing by 10, 100, or 1,000 57

Changing Fractions to Decimals 60

Changing Decimals to Fractions 61

Rounding Off Decimals 62

End of Chapter Review 64

**4 Percents, Ratio, and Proportion 67**

Percent 68

Fractions and Percents 69

Decimals and Percents 72

Ratio and Proportion 76

Use of Ratio and Proportion: Solving for x 79

End of Chapter Review 88

End of Unit 1 Review 93

**UNIT 2**

**Measurement Systems 97****5 The Metric, Household, and Apothecary Systems of**

Measurement 99

Measurement 99

The Metric System 100

Meter—Length 102

Liter—Volume 102

Gram—Weight 102

The Apothecary System 103

Household Measurements 106

Converting Within the Same System: Metric System 110

Converting Within the Same Systems: Household and

Apothecary 113

End of Chapter Review 116

**6 Approximate Equivalents and System Conversions 119**

Dosage Calculations: Converting Between Systems 120

End of Chapter Review 125

End of Unit 2 Review 128

**UNIT 3**

**Dosage Calculations 131****7 Medication Labels 134**

Interpreting a Medication Label 135

End of Chapter Review 142

**8 Oral Dosage Calculations 145**

Calculating Oral Dosages 147

Dosage Calculations for Medications in the Same System

and the Same Unit of Measurement 156

Dosage Calculations for Medications in the Same System

but with Different Units of Measurement 160

Dosage Calculations for Medications in Different

Systems 163

End of Chapter Review 168

**9 Parenteral Dosage Calculations 172**

Packaging, Syringes, and Needles 173

Types of Injections 176

Dosage Calculations for Medications in the Same System

and the Same Unit of Measurement 177

Dosage Calculations for Medications in the Same System

but Having Different Units of Measurement 181

Dosage Calculations for Medications in Different

Systems 182

Penicillin 184

End of Chapter Review 186

**10 Intravenous Therapy 191**

Key Terms 192

Intravenous Fluids 193

Intravenous Infusion Sets and Lines 196

Infusion Devices 198

Calculate Intravenous Fluid Administration 199

Calculate Infusion Time in Hours and Minutes 202

Calculate Flow Rate in Milliliters per Hour for Gravity or

Pump Infusions 203

Calculate IV Drip Rate or Drops per Minute 206

Constant Factors 210

Intermittent Intravenous Administration 212

End of Chapter Review 218

**11 Intravenous Therapies 221**

Calculate Flow Rate (Milliliters

per Hour) When Dosage Is Known 223

Calculate Dosage, per Hour or per Minute, When Flow Rate

Is Known 228

Titrate IV Fluids 233

End of Chapter Review 235

**12 Insulin 242**

Insulin Preparation 243

Types of Insulin 244

Insulin Delivery Devices 247

Insulin Administration 252

Preparing Insulin for Injection 253

Mixing Two Types of Insulin in One Syringe 254

Continuous Intravenous Insulin Infusion 258

End of Chapter Review 260

**13 Heparin Preparation and Dosage Calculations 264**

Heparin for Subcutaneous Injection 268

Heparin for Intravenous Infusion 271

Calculate Heparin Flow Rate (Milliliters per Hour) When

Units of Heparin per Hour Are Ordered 272

Calculate Heparin Dosage (Units per Hour) When Heparin Is

Ordered in Milliliters per Hour 275

Heparin Administration Based on Weight 276

Weight-Based Heparin Protocol 278

End of Chapter Review 283

**14 Pediatric Dosage Calculations and Intravenous**

Therapy 289

Therapy 289

Weight Conversions 293

Estimate Safe Total Daily Dosage 298

Calculate Oral and Parenteral Dosages Based on Body

Weight (Milligrams per Kilogram) 300

Estimate Body Surface Area 304

Dosage Calculations Based on Body Surface Area 305

Calculate Intravenous Flow Rate 312

Calculate Intermittent Intravenous Medication Administration

(Intravenous Piggyback [IVPB]) 314

Calculate IV Push (IVP) Medications 320

End of Chapter Review 322

**15 Solutions and Drug Reconstitution 330**

Ratio and Proportion 331

Reconstitution: Preparing Injections Packaged as

Powders 332

Preparing an Oral or Enteral Feeding 338

Preparing a Topical Irrigating Solution 340

End of Chapter Review 341

End of Unit 3 Review 343

**Answers 353**

**Appendices**

A. Roman Numerals 377

B. Rounding Off Decimals 380

C. Abbreviations for Drug Preparation and

Administration 382

D. Intradermal Injections 386

E. Subcutaneous Injections 388

F. Intramuscular Injections 390

G. Z-Track Injections 392

H. Pediatric Intramuscular Injections 395

I. Nursing Concerns for Pediatric Drug

Administration 397

J. Nursing Considerations for Critical Care

Drug Administration 399

K. Nursing Considerations for Medication

Administration for the Trauma Patient 401

L. Nursing Concerns for Geriatric Drug

Administration 403

M. Needleless Intravenous System 406

N. Temperature Conversions: Fahrenheit and

**Celsius Scales 408**

**Index 411**