Solving Problems Using
Dimensional Analysis
8th Edition
• Author(s)Gloria Pearl Craig
TEST BANK
1) Arabic Numbers and Roman Numerals
Reference: Ch. 1 — Arabic Numbers and Roman Numerals
NCLEX-Level Question Stem:
A provider writes a dose as XIV mg on the medication order.
The nurse must convert the Roman numeral to an Arabic
number before entering it into the MAR. What is the correct
dose in Arabic numerals?
,Options:
A. 12 mg
B. 14 mg
C. 16 mg
D. 24 mg
Correct Answer:
B. 14 mg
Rationale:
Correct: XIV = 10 + 4 = 14. The nurse must recognize that IV in
Roman numerals means 4, not 6.
A: 12 mg reflects subtracting incorrectly or misreading the
numeral.
C: 16 mg results from adding too many values or confusing XIV
with XVI.
D: 24 mg is a reversal error and is not the correct conversion.
Teaching Point:
Roman numerals use subtraction when I appears before V or X.
Citation:
Craig, G. P. (n.d.). Dosage Calculations Made Easy: Solving
Problems Using Dimensional Analysis (8th ed.). Ch. 1, Arabic
Numbers and Roman Numerals.
2) Arabic Numbers and Roman Numerals
Reference: Ch. 1 — Arabic Numbers and Roman Numerals
,NCLEX-Level Question Stem:
A prescription is recorded as 27 units. The nurse needs to
convert the dose to Roman numerals for a paper reference
sheet. Which Roman numeral is correct?
Options:
A. XXV
B. XXVII
C. XXXII
D. XVII
Correct Answer:
B. XXVII
Rationale:
Correct: 27 = 20 + 7 = XX + VII = XXVII.
A: XXV equals 25, which is 2 units too low.
C: XXXII equals 32, which is too high.
D: XVII equals 17, which is too low.
Teaching Point:
Break Arabic numbers into tens and ones to convert Roman
numerals accurately.
Citation:
Craig, G. P. (n.d.). Dosage Calculations Made Easy: Solving
Problems Using Dimensional Analysis (8th ed.). Ch. 1, Arabic
Numbers and Roman Numerals.
3) Multiplying Fractions
, Reference: Ch. 1 — Fractions — Multiplying Fractions
NCLEX-Level Question Stem:
A patient is ordered 3/4 of a tablet, but the nurse must give
only 1/2 of that ordered amount because of a temporary dose
adjustment. How much of the tablet should be administered?
Options:
A. 1/8 tablet
B. 3/8 tablet
C. 1/2 tablet
D. 3/4 tablet
Correct Answer:
B. 3/8 tablet
Rationale:
Correct: 34×12=38\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}43
×21=83. The units remain tablets, and the nurse gives 3/8
tablet.
A: 1/8 tablet is too low and usually reflects multiplying only the
denominators.
C: 1/2 tablet is incorrect because it ignores the original 3/4
order.
D: 3/4 tablet is the original dose, not the reduced amount.
Teaching Point:
When multiplying fractions, multiply numerators and
denominators straight across.