Equivalents
Metric Equivalents Household Equivalents Approximate Equivalents
1 g 1,000 mg 1,000,000 mcg 3 t 1 T 1 t 5 mL
0.001 g 1 mg 1,000 mcg 2 T 1 fl oz 1 T 3 t 15 mL 1
2
fl oz
0.000001 g 0.001 mg 1 mcg 1 cup 8 fl oz 1 fl oz 30 mL 6 t
1 kg 1,000 g 1 pt 16 fl oz 2 cups 1 L 1 qt 32 fl oz 2 pt 4 cups
1 L 1,000 mL 1 qt 2 pt 4 cups 32 fl oz 1 pt 16 fl oz 2 cups
0.001 L 1 mL 1 lb 16 oz 1 cup 8 fl oz 240 mL
1 m 100 cm 1,000 mm 1 kg 2.2 lb
0.01 m 1 cm 10 mm 1 in 2.5 cm
0.001 m 0.1 cm 1 mm
Common Calculations
Dosage: Formula Method
Step 1. Convert
Step 2. Think
Step 3. Calculate:
D
H
Q X
Dosage: Ratio-Proportion Method
Step 1. Convert
Step 2. Think
Step 3. Calculate: A
D
m
os
o
a
u
g
n
e
t
o
o
n
n
h
h
a
a
n
n
d d
X
D
A
o
m
sa
o
g
u
e
n
d
t
e
d
s
e
i
s
re
ir
d ed
Dosage: Dimensional Analysis Method
Step 1. Determine unit of measure for amount to
give ratio for left side of equation
Step 2. Think
Step 3. Match unit of numerator of supply dosage ratio
with unit of numerator of amount to give ratio.
Set up all other ratios so units cancel, leaving
unit of amount to give. Calculate:
Amount Supply Conversion Ordered
to Give Dosage Factor Dosage
Ratio Ratio Ratio Ratio
Common Medical Abbreviations
Abbreviation Interpretation Abbreviation Interpretation
Route: Frequency:
IM intramuscular q.h every hour
IV intravenous q.2h every two hours
IV PB intravenous piggyback q.3h every three hours
subcut subcutaneous q.4h every four hours
SL sublingual, under the tongue q.6h every six hours
ID intradermal q.8h every eight hours
GT gastrostomy tube q.12h every twelve hours
NG nasogastric tube General:
NJ nasojejunal tube a before
p.o. by mouth, orally p after
p.r. per rectum, rectally c with
Frequency: s without
a.c. before meals q every
p.c. after meals qs quantity sufficient
ad. lib. as desired, freely aq water
p.r.n. when necessary NPO nothing by mouth
stat immediately, at once gtt drop
b.i.d. twice a day tab tablet
t.i.d. three times a day cap capsule
q.i.d. four times a day et and
min minute noct night
h hour
Temperature Conversions
Celsius: °C
°F
1
.8
32 Fahrenheit: °F 1.8°C 32
IV Flow Rate
T
T
o
o
ta
t
l
al
m
h
L mL/h
T
T
o
o
t
t
a
a
l
l
m
m
i
L n
60 min/h mL/h
T
V
(
(
m
m
i
L
n
) )
C (gtt/mL) R (gtt/min)
Shortcut
IV Flow Rate: R (gtt/min)
Body Surface Area
Metric BSA: m2
ht (cm
3
)
,
600
wt (kg)
Household BSA: m2
ht (in)
3,
13
w
1
t (lb)
mL/h
Drop factor constant
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Gloria D. Pickar, EdD, RN
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Amy Pickar Abernethy, MD
Associate Professor of Medicine and Nursing
Duke University
Durham, North Carolina
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Dosage Calculations, Ninth Edition
Gloria D. Pickar, EdD, RN
and Amy Pickar Abernethy, MD
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iii
Contents
Preface vi
Acknowledgments xi
Introduction to the Learner xii
Using This Book xiii
SECTION 1
Pretest and Mathematics Review 1
Essential Skills Evaluation: Pretest 3
Essential Skills Evaluation:
Pretest Answer Sheet 21
Mathematics Diagnostic Evaluation 28
■ 1
Fractions and Decimals 31
Fractions 31
Types of Fractions 32
Equivalent Fractions 33
Conversion 34
Comparing Fractions 35
Addition and Subtraction of Fractions 38
Multiplication of Fractions 41
Division of Fractions 43
Decimals 47
Decimal Fractions and Decimal Numbers 47
Comparing Decimals 50
Conversion between Fractions and Decimals 51
Addition and Subtraction of Decimals 54
Multiplying Decimals 56
Dividing Decimals 57
Rounding Decimals 58
■ 2
Ratios, Percents, Simple Equations,
and Ratio-Proportion 63
Ratios and Percents 64
Ratios 64
Percents 64
Converting Among Ratios, Percents,
Fractions, and Decimals 64
Comparing Percents and Ratios 66
Solving Simple Equations for X 68
Ratio-Proportion: Cross-Multiplying to Solve for X 72
Finding the Percentage of a Quantity 76
Section 1 Self-Evaluation 80
SECTION 2
Measurement Systems, Drug Orders,
and Drug Labels 83
■ 3
Systems of Measurement 85
Metric System 85
Apothecary and Household Systems 89
Other Common Drug Measurements: Units and Milliequivalents 91
■ 4
Conversions: Metric and Household Systems 97
Identifying Need for Unit Conversion 98
Converting from One Unit to Another Using the
Conversion Factor Method 99
Converting within the Metric System 100
Approximate Equivalents 105
Converting Between Systems of Measurement Using the
Conversion Factor Method 105
■ 5
Conversions for Other Clinical Applications:
Time and Temperature 113
Converting Between Traditional and International Time 113
Converting Between Celsius and Fahrenheit Temperature 116
■ 6
Equipment Used in Dosage Measurement 123
Oral Administration 123
Medicine Cup 123
Calibrated Dropper 124
Pediatric Oral Devices 125
Parenteral Administration 125
3 mL Syringe 125
Prefilled Single-Dose Syringe 126
Insulin Syringe 127
1 mL Syringe 128
Safety Syringe 128
Intravenous Syringe 129
Needleless Syring
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