Solving Problems Using Dimensional

DOSAGE CALCULATIONS MADE
EASY
SOLVING PROBLEMS USING
DIMENSIONAL ANALYSIS
8TH EDITION
• AUTHOR(S)GLORIA PEARL
CRAIG




TEST BANK

,Question 1 (Easy – Dimensional Analysis Fundamentals)
A provider prescribes amoxicillin 750 mg PO. The pharmacy
supplies 250 mg capsules.
How many capsules should the nurse administer?
A. 2 capsules
B. 2.5 capsules
C. 3 capsules
D. 4 capsules
Correct Answer: C. 3 capsules
Rationale:
Step 1: Set up dimensional analysis.
750 mg×1 capsule250 mg750\ \text{mg} \times \frac{1\
\text{capsule}}{250\ \text{mg}}750 mg×250 mg1 capsule
Step 2: Cancel the mg units.
750250=3\frac{750}{250}=3250750=3
Step 3: Administer 3 capsules.
Medication Safety Note: Always verify that the prescribed dose
can be accurately administered using the available dosage form.


Question 2 (Easy – Oral Liquid Calculation)

,A child is prescribed 300 mg of an antibiotic. The available
suspension is 150 mg/5 mL.
How many milliliters should the nurse administer?
A. 5 mL
B. 7.5 mL
C. 10 mL
D. 15 mL
Correct Answer: C. 10 mL
Rationale:
Step 1:
300 mg×5 mL150 mg300\ \text{mg}\times\frac{5\
\text{mL}}{150\ \text{mg}}300 mg×150 mg5 mL
Step 2:
300×5150=10 mL\frac{300\times5}{150}=10\
\text{mL}150300×5=10 mL
Step 3: Administer 10 mL.
Medication Safety Note: Use an oral dosing syringe or
medication cup for accurate measurement.


Question 3 (Easy – Metric Conversion)

, The provider orders 1.5 g of cefazolin IV.
How many milligrams is this?
A. 15 mg
B. 150 mg
C. 1,500 mg
D. 15,000 mg
Correct Answer: C. 1,500 mg
Rationale:
Step 1:
1.5 g×1000 mg1 g1.5\ \text{g}\times\frac{1000\ \text{mg}}{1\
\text{g}}1.5 g×1 g1000 mg
Step 2:
1.5×1000=1500 mg1.5\times1000=1500\
\text{mg}1.5×1000=1500 mg
Step 3: The prescribed dose equals 1,500 mg.
Medication Safety Note: Confusing grams and milligrams can
result in a 1,000-fold medication error.


Question 4 (Easy – Injectable Medication)
An order reads: