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The Nurse, The Math, The Meds - E-Book

The Nurse, The Math, The Meds - E-Book

Joyce L. Mulholland

(2014)

Additional Information

Book Details

Abstract

Use the simplicity of the dimensional analysis method to minimize drug calculation errors! The Nurse, The Math, The Meds, 2nd Edition helps you overcome any math anxiety you may have by clearly explaining how to use the dimensional analysis method. It shows how to analyze practice problems, find the reasonable answer, and then evaluate it. But first, it lets you refresh your math skills with a review of essential math. Written by noted nursing educator Joyce Mulholland, this book offers over 1,400 questions for plenty of practice in mastering math concepts and learning dosage calculations.

  • A comprehensive math review at the beginning of the book includes a self-assessment test to help you identify areas of strength and weakness.
  • A consistent chapter format includes objectives, essential prior knowledge, equipment needed, estimated time to complete the chapter, key vocabulary, and more.
  • Rapid Practice exercises follow each new topic with multiple practice problems, so you can apply concepts immediately.
  • A full-color design includes a special margin section so you can work out practice problems on the spot.
  • Mnemonics make memorization easier and save time in learning.
  • Test tips enhance your comprehension and improve test-taking skills and comfort level.
  • Red arrow alerts call attention to critical math concepts and patient safety theory.
  • Clinical Relevance boxes help you apply medication-related concepts to practice.
  • Unique! FAQ and Answers are derived from students' actual classroom questions, and are especially useful if you are studying outside of a classroom environment.
  • Unique! Ask Yourself questions help in synthesizing information and reinforcing understanding.
  • Unique! Communication boxes include sample nurse-patient and nurse-prescriber dialogues that illustrate clinical application of medication administration.
  • Cultural boxes describe selected math notation and medication-related cultural practices.
  • TJC and ISMP recommendations for abbreviations, acronyms, and symbols are used to reduce medication errors, increase patient safety, and ensure compliance with agency regulations.
  • Online and print references provide opportunities for further research and study.
  • Two chapter finals are included at the end of each chapter.
  • Two comprehensive finals evaluate your understanding, one in NCLEX® exam-style multiple-choice format and the other following a traditional written format.
  • Answer key in the back of the book provides step-by-step solutions to the Rapid Practice exercises, chapter finals, and comprehensive finals so you can pinpoint specific areas for further review.

Table of Contents

Section Title Page Action Price
Front Cover\r Cover
The Nurse, The Math, The Meds: Drug Calculations Using Dimensional Analysis iii
Copyright Page\r iv
Table of Contents\r xiv
IFC\r IFC
Content and Math Reviewers v
To the Instructor vi
To the Student ix
Acknowledgments xii
Contents in Brief xiii
Essential Math Self-Assessment 2
Chapter 1. Essential Math Review 5
Introduction 5
Directions 6
Essential Math Vocabulary and Concepts 6
Whole Numbers 8
Implied Decimal Points and Trailing Zeros 8
Sum 10
Product 10
Factor 10
Common Factors 10
Multiple 11
Factors Versus Multiples 11
Multiplier 11
Divisor, Dividend, Quotient, and Remainder 11
Square 12
Square Root 12
Bases and Exponents 14
Powers of 10 Calculations 14
Multiplying and Dividing by 10, 100, and 1000 15
Decimal Fractions 16
Reading Numbers and Decimals 17
Decimal Point Spatial Placement 18
Writing Decimals in Fraction Form 18
Comparing Decimals to See Which Is Larger 19
General Rules for Rounding Decimals and Whole Numbers to an Approximate Number 20
Adding and Subtracting Decimal Numbers 20
Multiplying Decimals 21
Dividing Decimals 21
Fractions 23
Alternative Fraction Forms 24
Mixed Fractions 24
Improper Fractions 24
Converting Mixed and Improper Fractions 24
Converting an Improper Fraction to a Mixed Fraction 24
Reducing Fractions 25
Common (Same) Denominator 26
Lowest Common Denominator (LCD) 27
Equivalent Fractions 27
Comparing Fractions 28
Adding and Subtracting Fractions 29
Multiplying Fractions 31
Fraction Multiplication and Canceling Fractions 31
Multiplication with Mixed Fractions 32
Dividing Fractions 33
Percentages 34
Changing a Fraction to a Percentage 34
Changing a Percentage to a Fraction 34
Changing a Decimal to a Percentage 35
Changing a Percentage to a Decimal 35
Calculating the Percentage of a Whole Number 36
Constants 36
Finding Unit Values and Totals 37
Finding the Total Value 37
Equations 38
Chapter 2. Dimensional Analysis Calculations 43
Introduction 43
Three Required Elements of a Dimensional Analysis Equation 45
Setup of a Simple Equation Using Dimensional Analysis 45
Conversion Factor Review 48
Two Kinds of Conversions That Must Be Identified 50
Problems That Call for More Than One Conversion Factor 54
Chapter 3. Measurement Units and Conversions for Medications 64
Introduction 64
Metric Measurements: Base Units 66
Metric Units Number Line 66
Metric Prefixes and Values 67
Metric Notation 68
Equivalent Metric Measurements of Weight or Mass 71
Equivalent Metric Measurements of Volume 72
Equivalent Metric Measurements of Length 73
Metric Equivalents 74
Finding Equivalents: Changing Milligrams to Grams and Grams to Milligrams 75
Examining Micrograms 78
Milliequivalents (mEq) 79
Other Medication Measurement Systems 80
Key Points About the Measurement Systems 83
Chapter 4. Patient Records, Medication Orders, and Labels 89
Introduction 89
Medication Storage and Security 92
Medication Forms and Packaging 94
Solid Drug Forms 94
Liquid Drug Forms 96
Medication Routes 98
Frequency and Times of Medication 100
The 24-Hour Clock 106
Medication Orders 108
Interpreting Labels and Orders 109
Calculating Dose Based on Label and Order Information 114
Orders for Two or More Medications to Be Combined 119
Telephone and Verbal Orders 119
Examples of Orders That Must Be Clarified 119
Medication Administration Records 121
PRN Medication Administration Record 124
Patients’ Rights 125
Chapter 5. Solid and Liquid Oral Dose Calculations 135
Introduction 135
Converting Grams to Micrograms and Micrograms to Grams by Moving Decimal Places 140
Analyzing Liquid Dose Orders 145
Setting up DA-Style Equations for Liquid Dose Calculations 147
Usual Unit Doses 148
Equipment for Administering Oral Liquid Doses 151
Measuring Liquids 151
Reading Syringe Calibrations on the 3-mL and 5-mL Syringe 151
Safe Dose Ranges 158
Chapter 6. Syringe Measurements 178
Introduction 178
Syringe Sizes 179
Parts of the Syringe 181
Total Capacity and Lowest Measurable Dose 182
Where to Measure the Dose on Syringes 182
Examining the Calculated Doses for Correct Syringe Selection 186
Oral Syringes 188
Oral Syringes Versus Injectable Syringes 188
Prefilled Injectable Syringes 189
Prefilled Medication Cartridges for Injection 189
Needle Sizes 190
Safety Syringes 192
Safety Issues and Disposal of Sharps 193
Recommended Fluid Volume for Selected Sites 198
Chapter 7. Reconstitution of Powders and Liquids 204
Introduction 204
Reconstituted Medications 206
Expired Reconstituted Drugs 208
Reconstituted Parenteral Drugs 215
Reconstituted Drug Prefilled Containers 219
Liquid Concentrates: Diluting Liquids 224
Inactive Ingredients Used for Dilutions 224
Converting Dilution Ratios to Fractions and Percentages 225
Using a DA Equation to Calculate the Amount of Concentrate 225
Chapter 8. Injectable Medication Calculations 234
Introduction 234
Intradermal Injections 235
Subcutaneous Injections 236
Intramuscular Injections 237
Administering Injections 237
Parenteral Mixes 244
Medicines Supplied in Units 252
Chapter 9. Basic Intravenous Calculations 262
Introduction 262
Overview of Intravenous Therapy 265
Basic Intravenous Equipment 266
Types of Intravenous Solutions 267
Tonicity of Intravenous Solutions 267
Intravenous Solution Volume 268
Intravenous Solution Orders for Milliliters per Hour 269
Determining Infusion Durations 269
Intravenous Flow Rate Entries for Electronic Infusion Devices 271
Gravity Infusions 271
Intravenous Administration Sets 272
Selection of Gravity Infusion Administration Sets 273
Calculating Flow Rates for Gravity Infusion Devices 274
Intravenous Piggyback Solutions 282
Regulating and Positioning Gravity Infusion Devices 287
Flow Rate Errors 289
Monitoring the Flow Rate on Infusion Devices 289
Calculating Milliliters per Hour from Drops per Minute on Gravity Devices at the Bedside 291
Setting the Alarm for Electronic Intravenous Equipment 292
Calculating the Volume for a “Volume to Be Infused” Alarm 293
“To Keep Open” Flow Rates 298
Calculating Grams of Solute in Intravenous Solutions 298
A Word about Potassium Chloride 299
Intravenous Intermittent Solution Delivery Systems 300
Administration of Blood 304
Chapter 10. Advanced Intravenous Calculations 312
Introduction 312
Equation Setups for Advanced Intravenous Calculations 314
Conversion Factors That May Be Needed for Intravenous Infusion Calculations 315
Calculating Medicated Intravenous Flow Rates That Require One Conversion Factor 316
Calculating Intravenous Flow Rates That Require Two Conversion Factors 318
Calculating Flow Rates for Weight-Based Doses 319
Equipment for Medicated Intravenous Solutions 323
Calculating Milligrams per Milliliter (mg per mL) from Available Drug Concentration 327
Deriving Infusion Dose from Existing Flow Rate and Available Solution 327
Dilutions: When the Nurse Prepares the Drug for the Intravenous Solution 329
Intravenous Direct Push Medications 330
Intravenous Direct Push Calculations 331
Hyperalimentation: Parenteral Nutrition 336
Chapter 11. Antidiabetic Agents 350
Introduction 350
Oral and Injectable Non-Insulin Antidiabetic Agents 353
Parenteral Antidiabetic Agents: Insulin Products 355
Insulin Labels 357
Short- and Rapid-Acting Insulins 358
Intermediate-Acting Insulins 361
Short- and Intermediate-Acting Insulins: Insulin Fixed-Combination Mixes 362
Long-Acting Insulins 362
Steps to Prepare Doses for Insulin Syringes 363
Matching Insulin Concentration and Syringes 364
Reading Units on Insulin Syringes 365
Even- and Odd-Numbered Scales on Insulin Syringes 365
Lo-Dose Syringes 366
Sites for Insulin Injection 369
Sliding-Scale Insulin (SSI) 369
Mixing Insulins: Short Fast-Acting and Slower-Acting Intermediate Mixes 374
When the Mix Must Be Prepared by the Nurse 376
Technique for Preparing Insulin Mixes 376
Intravenous Insulin Infusions 380
Insulin Administration Devices 383
Chapter 12. Anticoagulant Agents 392
Introduction 392
Injectable Anticoagulants 400
Low-Dose Heparin Concentrations Used to Maintain Patency of Intravenous Devices (Flushes) 401
Heparin Concentrations Used for Subcutaneous Administration and Bolus Intravenous Doses 402
Heparin Concentrations Used for Intravenous Infusions 403
Calculating Heparin Flow Rates in Milliliters per Hour (mL per hr) and Units per Hour Using DA-Style Equations 405
Determining mL per hr from a Weight-Based Order of Units per kg per hr 405
Determining Units per hr Being Infused on an Existing Infusion 406
Chapter 13. Pediatric Medication Calculations 418
Introduction 418
Comparing Adult and Pediatric Medication Doses and Schedules 420
Calculating Kilograms to the Nearest Tenth from Pounds and Ounces 421
Sequence for Calculating Safe Dose Range (SDR) 423
Body Surface Area (BSA) 425
Equipment for Medication Administration to Pediatric Patients and Patients Unable to Chew Tablets and Pills 428
Injection Sites for Pediatric Patients 433
Injection Volumes for Pediatric Populations 434
Fluid Requirements for Pediatric Patients 438
Intravenous Injections for Infants and Children 439
Comparing Safe Dose Range and Order 445
Multiple-Choice Final Review: Chapters 1-13 456
Comprehensive Final Practice: Chapters 1-13 461
Answer Keys 481
Appendix A: Apothecary System Measurements 583
Appendix B: ISMP's List of High-Alert Medications 585
Appendix C: 5-Minute Sample Verbal Communication Hand-off Report 587
Index 589
IBC IBC