
Course Introduction
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Course Introduction
Nursing Math is a foundational course designed to equip nursing students with the mathematical skills essential for safe and effective clinical practice. The course covers topics such as basic arithmetic, fractions, ratios, percentages, and the metric and household systems of measurement, with an emphasis on accurate medication dosage calculations, intravenous flow rates, and conversions. Through practical examples and problem-solving exercises, students develop competence in applying mathematical concepts to real-life nursing scenarios, ensuring patient safety and adherence to professional standards.
Recommended Textbook
Calculate with Confidence 5th Edition by Deborah C. Gray Morris
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25 Chapters
409 Verified Questions
409 Flashcards
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Sample Questions
Q1) Perform the indicated operation and record the results in lowercase Roman numerals.13 + 7 = _____
Answer: xx
Q2) Perform the indicated operation and record the results in lowercase Roman numerals.12 \(\times\) 2 = _____
Answer: vi
Q3) Write the following Arabic number as a Roman numeral.(Use lowercase letters.)11 1/2 = _____
Answer: xiss
Q4) Perform the indicated operation and record the result in Roman numerals.(Use lowercase letters.)29 \(\times\) 1 = _____
Answer: xxviii
Q5) Perform the indicated operation and record the result in Roman numerals.(Use lowercase letters.) 7 \(\times\) 2 = _____
Answer: xiv
Q6) Perform the indicated operation and record the results in lowercase Roman numerals.6 \(\times\)3 = _____
Answer: xviii
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28 Verified Questions
28 Flashcards
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Sample Questions
Q1) Perform the indicated operation with fractions.Reduce to lowest terms as indicated.6 10/12 \(\times\) 15/3 = _____ Answer: 34 1/6
Q2) Change the following mixed number to an improper fraction.12 1/8 = _____ Answer: 97/8
Q3) Reduce the following fraction to lowest terms.39/65 = _____ Answer: 3/5
Q4) Change the following mixed number to an improper fraction.6 7/10 = _____ Answer: 67/10
Q5) Indicate the largest number in the following set.5/6,5/8: _____ Answer: 5/6
Q6) Perform the indicated operation and reduce to lowest terms.4/5 \(\times\) 5/16 = _____ Answer: 1/4
Q7) Indicate which fraction is the largest.1/100,1/150,1/200: _____ Answer: 1/100
Q8) Perform the indicated operation and reduce to lowest terms.3/5 \(\times\) 5 = Answer: 3/25
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Sample Questions
Q1) Perform the indicated operation with decimals. Answer: 0.523
Q2) Round off the following decimal to the nearest tenth. Answer: 3.5
Q3) Divide the following decimal.Express answer to nearest hundredth. Answer: 0.27
Q4) Change the following to a decimal. Answer: 0.0125
Q5) Change the following to a decimal.Carry division three places as indicated.Do not round off.5/18 = _____
Answer: 0.277
Q6) Round off the following decimal to the nearest tenth. Answer: 1.5
Q7) Change the following to a decimal.Carry division three places as indicated.Do not round off.1/64 = _____
Answer: 0.015
Q8) Perform the indicated operation with decimals. Answer: 64.091
5
Q9) Indicate the largest number in the following set. Answer: 0.75
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Sample Questions
Q1) Solve for x in the following.11:121 = 3:x
x = _____
Q2) Solve for x in the following.500:3 = 350:x
x = _____
Q3) Solve for x in the following.4/2.6 = 5/x
x = _____
Q4) Solve for x.1/0.05 = x/0.1
x = _____
Q5) Solve for x.Round to the nearest tenth.1:3.6 = x:170
x = _____
Q6) Express the following dosage as a ratio.A capsule contains 450 mg of medication:
Q7) Express the following dosage as a ratio.An injectable solution contains 500 mg in each 0.7 mL: _____
Q8) Solve for x.
2.2:1 = x:145
x = _____
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8 Verified Questions
8 Flashcards
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Sample Questions
Q1) Find the following percentage.8% of 32 = _____
Q2) Change the following percentage to a fraction.Reduce to lowest terms.
Q3) Change the following percentage to a ratio and its decimal equivalent.45% = _____; _____
Q4) Change the following percentage to a ratio and its decimal equivalent.8% = _____;
Q5) Find the following percentage.16% of 79 = _____
Q6) Change the following percentage to a fraction. Reduce to lowest terms. 37.5% = _____
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Sample Questions
Q1) 0.075 mg = _____ mcg
Q2) 1 mg = _____ g
Q3) 1 kg = _____ g
Q4) 26 mcg = _____ mg
Q5) 3,120 mcg = _____ mg
Q6) 8.3 L = _____ mL
Q7) 450 mL = _____ L
Q8) 54.6 g = _____ kg
Q9) 3,550 mL = _____ L
Q10) 5.2 kg = _____ g
Q11) 7.45 mL = _____ L
Q12) 0.081 g = _____ mg
Q13) Complete the following sentence with the correct word(s).The units of the metric system are as follows: ____________________ (length),____________________ (volume),and ____________________ (weight).
Q14) 25.6 mg = _____ g Page 9
Q15) 15 mg = _____ mcg
Q16) 1 L = _____ mL
Q17) 1.57 kg = _____ g
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18 Verified Questions
18 Flashcards
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Sample Questions
Q1) 6 1/4 qt = _____ mL
Q2) gr 4 1/4 = _____ mg
Q3) The correct abbreviation for teaspoon is:
A) Tsp
B) tsp
C) Tbs
D) tbs
Q4) 60 mg = gr _____
Q5) 16 T = _____ mL
Q6) ounce: _____
Q7) 50 mL = _____ qt
Q8) teaspoon: _____
Q9) 750 mL = _____ pt
Q10) 255 mL = _____ oz
Q11) 10 tbs = _____ mL
Q12) 5 t = _____ mL
Q13) 30 mL = _____ oz

11
Q14) 2 1/4 cup = _____ mL
Q15) gr 1/15 = _____ mg
Q16) 15 mL = _____ oz
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Sample Questions
Q1) gr 90 = _____ g
Q2) 4 1/4 qt = _____ mL
Q3) A client received 5.4 liters of IV fluid during a surgical procedure.How many mL of IV fluid did the client receive? _____ mL
Q4) A client's intake was the following
1 1/4 cup of coffee (1 cup = 8 oz)4 oz cranberry juice
1 1/2 bowls of chicken broth (1 bowl = 6 oz)3 1/2 glasses of water (1 glass = 6 oz)The client voided urine as follows: 260 mL,180 mL,500 mL,and 425 mL
Calculate the client's intake and output in mL.
a.Intake: _____ mL
b.Output: _____ mL
Q5) 59 lb = _____ kg (Round answer to the nearest tenth)
Q6) 0.005 g = _____ mg
Q7) 28.2 kg = _____ lb
Q8) A client has an order for Maalox 30 mL p.o.at bedtime.How many tablespoons will the nurse instruct the client to take? _____ tablespoons
Q9) 630 mg = gr _____
Q10) 1 mg = _____ g
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30 Flashcards
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Sample Questions
Q1) 9 lb 9 oz = _____ kg
Q2) 1 cm = _____ mm
Q3) 212S1U1P1\(\circ\)S1S1P0F = _____ S1U1P1\(\circ\)S1S1P0 C
Q4) 43.5 kg = _____ lb
Q5) A wound measures 4.2 cm in length.How many mm is this? _____ mm
Q6) 16 oz = _____ lb
Q7) In traditional time,0518 is: A) 5:18 AM B) 5:18 PM
Q8) 20.8 kg = _____ lb
Q9) 41 lb 2 oz = _____ kg
Q10) 14 lb 4 oz = _____ kg
Q11) 6.4 lb = _____ kg
Q13) A client's rash measures 5 cm \(\times\) 4 cm.How much does this measure in Page 14
Q12) An IV started at 0550 is to be completed in 5 hr 10 min.Determine the completion time (military time)._____
inches? _____ in
Q14) 18S1U1P1\(\circ\)S1S1P0 C = _____ S1U1P1\(\circ\)S1S1P0 F
Q15) 27 cm = _____ in
Q16) 63 kg = _____ lb
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Sample Questions
Q1) After administering a medication,the nurse should:
A) Pour the medications for the next administration time.
B) Document medication given prior to administering.
C) Order the next dosage needed from the pharmacy.
D) Document the time of administration.
Q2) Technological advances have eliminated the occurrence of medication errors._____
A)True B)False
Q3) Medication errors can result in prolonged hospitalization for a client._____ A)True B)False
Q4) Medication ________________ avoids errors and assists in obtaining accurate medication histories of a client at transition points (admission,transfer,discharge).
Q5) A nurse enters a room to administer medications to a client.The order is for Prednisolone 2.5 mg p.o.
b.i.d.The nurse administers prednisone 25 mg p.o.:
Q6) A nurse charts medications that she administered at 10 AM on October 1st for 10 AM on October 2nd: _______________
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Sample Questions
Q1) A p.r.n.order must indicate the minimum time between dosages,such as q4h._____ A)True
B)False
Q2) Verbal orders should be accepted only in _______________.
Q3) Twice a day: _____
Q4) Complete the following sentence with the correct word or number.A medication order is written without a frequency.The nurse should
Q5) Every hour: _____
Q6) Immediately: _____
Q7) CPOE is an abbreviation for _______________.
Q8) Every four hours: _____
Q9) Complete the following sentence with the correct word or number.To ensure accuracy and prevent misinterpretation,place a _____ before the decimal point.
Q10) The nurse is responsible for determining the times for a medication ordered t.i.d.at an institution._____
A)True
B)False Page 17
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Sample Questions
Q1) A client has a gastrostomy tube (GT)in place.The health care provider ordered the medication p.o.What action would be appropriate for the nurse to take?
A) Dilute the p.o.medication with water and administer by GT.
B) Administer the medication p.o.as ordered.
C) Clarify the order with the health care provider who wrote the order.
D) Clarify the order with the charge nurse.
Q2) A medicine ordered q6h would be given how many times a day? _____
A) 4
B) 6
C) 8
D) 12
Q3) Which medications have an assessment indicated prior to administration and what is the assessment? _______________
Q4) K-Dur 20 mEq is ordered.What does mEq mean? _______________
Q5) Identify the place on the MAR where the stat IV Lasix was charted._______________
Q6) If a medication was not administered,where would the reason for omission be charted? _______________
Q7) What are the client's medication allergies? ______________
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Sample Questions
Q1) A medication label reads "Calan SR (verapamil hydrochloride)240 mg sustained release caplets." The form is:
A) caplets
B) sustained release caplets
C) 240 mg
D) verapamil hydrochloride
Q2) If a medication label reads "Ambien (zolpidem tartrate)5 mg tablets,Searle," the medication's generic name is:
A) Ambien
B) Searle
C) zolpidem tartrate
D) tablets
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Sample Questions
Q1) Order: Amoxil 0.5 g p.o.q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q2) Order: Heparin 2,000 units subcut daily
Available: Heparin labeled 5,000 units per mL
Q3) Order: Heparin 2,500 units subcut stat
Available: Heparin labeled 10,000 units per mL (Express answer in hundredths.)
Q4) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q5) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
Q6) Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
Q7) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
Q8) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
Q9) Order: Raloxifene HCl 60 mg p.o.
b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
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Sample Questions
Q1) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q2) Order: Heparin 2,000 units subcut daily
Available: Heparin labeled 5,000 units per mL
Q3) Order: Heparin 2,500 units subcut stat
Available: Heparin labeled 10,000 units per mL (Express answer in hundredths.)
Q4) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
Q5) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
Q6) Order: Ketorolac 16 mg IV q6h p.r.n.for pain
Available: Ketorolac 30 mg per mL
Q7) Order: Amoxil 0.5 g p.o.q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q8) Order: Raloxifene HCl 60 mg p.o.
b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
Q9) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
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Sample Questions
Q1) Order: Clindamycin 0.6 g IV q12h
Available: Clindamycin 300 mg per 2 mL
Q2) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q3) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
Q4) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
Q5) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
Q6) Order: Ketorolac 16 mg IV q6h p.r.n.for pain
Available: Ketorolac 30 mg per mL
Q7) Order: Amoxil 0.5 g p.o.q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q8) Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
Q9) Order: Raloxifene HCl 60 mg p.o.
b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
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Sample Questions
Q1) Enteric-coated tablets and time-release tablets should never be
Q2) Order: Coreg 6.25 mg p.o.
a.How many tablets should the client receive per dosage? _____ tab(s)
b.How many milligrams will the client receive per day? _____ mg b.i.d.
Available: Coreg tablets labeled 3.125 mg
Q3) Order: Estrace 2 mg p.o.daily
Available: Scored tablets labeled 0.5 mg and 1 mg
a.Which dosage strength would be appropriate to use and why? _______________
b.How many tablets will you administer? _____ tab(s)
Q4) Order: Potassium chloride 40 mEq p.o.every day
Available: Potassium chloride 20 mEq per 15 mL
How many milliliters would the client receive? _____ mL
Q5) An elongated tablet for easy swallowing is referred to as a _______________.
Q6) Order: Diazepam 4 mg via nasogastric tube t.i.d.Available: Diazepam oral solution 5 mg per 5 mL
a.How many milliliters should the client receive per dosage? _____ mL
b.How many milligrams will the client receive per day? _____ mg
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Q7) Sublingual tablets must never be _______________ but placed _______________ the tongue.

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Sample Questions
Q1) The term used for injectable medications is _______________.
Q2) The route that is used for diagnostic purposes is called _______________.
Q3) Order: Heparin 45,000 units IV in 500 mL D5W
Available: Heparin labeled 10,000 units per mL
How many milliliters will you add to the IV? _____ mL
Q4) Order: Levothyroxine sodium 0.3 mg IV daily
Available: Levothyroxine sodium 200 mcg per 5 mL
How many milliliters will you add to the IV? _____ mL
Q5) The calibrations on a syringe that indicate the capacity can be found on the _______________.
Q6) If a nurse calculates a dosage of 3.39 mL of medication,which size syringe should the nurse select? _____ What would be the nearest measurable dose on the syringe?
Q7) Order: Furosemide 15 mg IM every day
Available: Furosemide labeled 20 mg per 2 mL
How many milliliters will you administer? _____ mL
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Sample Questions
Q1) 800 mL of 3/4 strength Sustacal via gastrostomy over 6 hours
Q2) 360 mL of 1/4 strength Ensure percutaneous endoscopic (PEG)tube over 4 hours
Q3) a.Total dosage of vial: _____
b.Type of diluents specified: _______________
c.How much diluent must be added to reconstitute the medication? _____
d.What will be the volume of the reconstituted solution? _____
e.Dosage strength of the reconstituted solution: _______________
Q4) 1/4 strength Ensure 8 oz p.o.q4h for 24 hours
Q5) Prepare irrigant 250 mL 1/2 strength solution:
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Sample Questions
Q1) What is the difference between the calibration of units on the 1-mL insulin syringe and on the Lo-Dose syringe? ______________________________
Q2) U-100 on the label of an insulin vial means:

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Sample Questions
Q1) An electronic infusion control device used to administer IV fluids is referred to as a _______________.
Q2) The name for the main infusion administration set is _______________.
Q3) List the components and percentage strengths of the following IV solutions.
a.D5¼S
b.D5NS 10 mEq KCl
c.D5RL
Q4) 5 L D10W dextrose: _______________
Q5) The IV line that can be used to administer medications and solutions and can be connected to a port on the main infusion is called _______________.
Q6) 1,000 mL (1 L)of Lactated Ringer solution every 8 hours
Q7) 500 mL 1/2 NS sodium chloride (NaCl): _____
Q8) 1,000 mL (1 L)of 5% dextrose in water to infuse at a rate of 100 mL per hour
Q9) In IV fluid abbreviations,D5NS identifies what IV fluid? _______________
Q10) _______________ devices allow a client to self-administer pain medication.
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Sample Questions
Q1) 1,000 mL D5W infusing at 90 mL/hr
a.Determine the infusion time: _____
b.The IV was started at 2:00 AM.When will the infusion be complete? _____
Q2) An IV of 1,000 mL 0.9 % NS is infusing at 18 macrogtt/min.The drop factor is 15 gtt/mL.How long will it take for the IV to infuse? (Express time in hours and minutes.):
Q3) The type of administration set that delivers the smallest drops is called
Q4) The type of administration set that will be selected for an IVPB solution is
Q5) 750 mL Ringer lactate at 80 mL/hr
a.Determine the infusion time: _____
b.The IV was started at 7:00 AM.When will the infusion be complete? _____
Q6) 0.45% NS at 30 mL/hr
a.10 gtt/mL _____
b.15 gtt/mL _____
c.20 gtt/mL _____
d.60 gtt/mL _____
Q7) Ampicillin 1.5 g in 100 mL 0.9 % NS over 45 minutes: _____
Q8) Clindamycin 600 mg in 100 mL D5W over 1 1/2 hours: _____
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Sample Questions
Q1) A client weighs 165 lb.Order: Administer a bolus of heparin sodium IV.The hospital protocol is 80 units/kg.How many units will you administer? _____
Q2) A client weighs 70 kg.Heparin infusion: Heparin 25,000 units in 1,000 mL 0.9 % sodium chloride.Order: Bolus with heparin sodium at 90 units/kg,then initiate drip at 20 units/kg/hr.
a.Calculate the heparin bolus dosage: _____
b.Calculate the infusion rate for the IV dosage: _____
c.Determine the rate in mL/hr at which to set the infusion device: _____
Q3) A client weighs 88 kg.Order: Bolus with heparin at 80 units/kg; initiate drip at 18 units/kg/hr.Heparin infusion 25,000 units in 500 mL 0.9 % sodium chloride.
a.Calculate the heparin bolus dosage: _____
b.Calculate the infusion rate for the IV dosage: _____
Q4) Order: Infuse heparin at 800 units/hr IV from a solution containing 40,000 units in 1,000 mL D5W.How many milliliters will infuse per hour? _____ mL
Q5) Order: Infuse heparin at 2,000 units/hr IV from a solution containing 20,000 units of heparin in 500 mL D5W.How many milliliters will infuse per hour? _____ mL
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Q1) A client weighing 80 kg has an order for Intropin to infuse at 8 mcg/kg/min.The solution available is 800 mg Intropin in 500 mL D5W.
a.mcg/min: _____
b.mL/hr: _____
Q2) Esmolol is ordered for a client.The solution available is 2.5 g in 250 mL D5W.The order is to infuse 32 mL/hr.
a.mg/hr: _____
b.mg/min: _____
Q3) Order: Dobutamine 2.5 mcg/kg/min for a client who weighs 193 lb Available: Dobutamine 250 mg in 250 mL D5W
a.What is the client's weight in kilograms? _____ (to the nearest tenth)
b.Calculate the rate in mL/hr required to infuse 2 mcg/kg/min: _____
Q4) A client is receiving procainamide 1 g in 500 mL D5W at 120 mL/hr
a.mg/hr: _____
b.mg/min: _____
Q5) A client is receiving dopamine 800 mg in 500 mL D5W infusing at a rate of 30 mL/hr
a.mg/hr: _____
b.mcg/min: _____
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Q1) A child weighs 10 kg and is to receive 0.5 g of nafcillin in 100 mL D5W q6h.The dosage range is 100 to 200 mg/kg/day.What is your course of action?
Q2) The recommended dosage of methotrexate is 25 to 75 mg/m<sup>2</sup>/wk.The child's height is 30 inches and the weight is 25 lb.
a.What is the child's BSA? _____
b.What is the recommended dosage range? _____
Q3) An IV medication of 50 mcg in 200 mL is ordered to infuse over 2 hours.The normal dosage range is 1.5 to 3 mcg/kg/hr.The child weighs 5.7 kg.Determine the dosage range per hour.Determine whether the dosage ordered is within normal limits.State your course of action: ______________________________
Q4) Order: Epinephrine 0.25 mg IV stat
Available: Epinephrine 0.1 mg/mL
How many milliliters will you prepare to administer? _____ mL
Q5) The recommended dosage of Zovirax for a child who is immunosuppressed and has a varicella-zoster infection is 500 mg/m<sup>2</sup>.The child weighs 26.5 lb and is 58 inches tall.
a.What is the child's BSA? _____
b.What is the recommended dosage? _____
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