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# Medic-Math Key Concepts and Calculations

Created by
@VirtuousConflict

### Convert 53.1 to a percent.

• 531%
• 5310% (correct)
• 0.531%
• 53.1%
• ### Solve the following calculation by moving the decimal point: 0.1234 x 10.

• 1.234 (correct)
• 0.01234
• 1,234
• 12.34
• ### Solve the following problem involving the addition of decimal fractions: 0.010 + 0.453.

• 0.443
• 0.454
• 0.553
• 0.463 (correct)
• ### Solve the following multiplication problem: 0.50 x 484.

<p>242</p> Signup and view all the answers

### Simplify the following expression: (3 / 64) ÷ (9 / 4).

<p>1/48</p> Signup and view all the answers

### Simplify the following expression by reducing the fraction: (49 x 3 x 16) / ( 21 x 9 x 4).

<p>3 1/9</p> Signup and view all the answers

### Use proportions to convert the following unit of measure: ____ µg = 0.001 g.

<p>1,000 µg</p> Signup and view all the answers

### You have a 50% dextrose solution, and the physician orders you to administer 15 mL. How many grams will you administer?

<p>7.5 g</p> Signup and view all the answers

### A patient is having cardiac problems with a rapid atrial flutter. The physician orders diltiazem, 0.35 mg/kg. The patient weighs 185 lb. How much will you administer?

<p>11.77 ml</p> Signup and view all the answers

### A patient is having multifocal PVCs at a rate of 10/min. You are directed to administer lidocaine, 1.0 mg/kg. The patient weighs 150 lb. How much medication will you administer?

<p>6.82 ml</p> Signup and view all the answers

### A patient is calling for help with a heavy feeling in his chest. The physician orders diltiazem, 0.25 mg/kg. The patient weighs 200 lb. How much will you give?

<p>22.73 ml</p> Signup and view all the answers

### A patient is determined to require 10 mg/kg of phenytoin for seizures. If the patient weighs 150 lb, how much medication will you administer?

<p>13.64 ml</p> Signup and view all the answers

### You have a patient weighing 159 kg needing a dopamine administration of 4 µg/kg/min. How do you prepare the medication?

<p>23.85 gtt/min</p> Signup and view all the answers

### Calculate the following for a dopamine drip: 800 mg in a 500-mL IV bag will be administered at 5 µg/kg/min to a patient weighing 250 lb. What is the rate?

<p>21.30 gtt/min</p> Signup and view all the answers

### Calculate the following for a dobutamine drip: 400 mg in a 250-mL IV bag at a rate of 12 µg/kg/min for a patient weighing 189 lb. What is the rate?

<p>39 gtt/min</p> Signup and view all the answers

### Calculate the dosage of morphine, 0.2 mg/kg, for an 8-year-old boy weighing 90 lb with a 10 mg dose in a 1-mL ampule. What is the correct amount to administer?

<p>0.82 ml</p> Signup and view all the answers

### You have given medications for an allergic reaction and need to administer methylprednisolone at 3 mg/kg for a 15-year-old boy weighing 137 lb. What is the amount to administer?

<p>3.74 mL</p> Signup and view all the answers

## Study Notes

### Medic-Math Key Concepts

• Percent conversion: 53.1 converts to 5310%.
• Decimal movement: Multiplying 0.1234 by 10 equals 1.234.
• Decimal addition: 0.010 + 0.453 equals 0.463.
• Multiplication example: 0.50 x 484 results in 242.

### Unit Conversion

• To convert 3.2% to a fraction, the correct fraction is 32/100.
• Converting measurement: 0.001 g equals 1,000 µg.

### Medication Dosage Calculations

• For a patient weighing 185 lb, 0.35 mg/kg of diltiazem corresponds to a dosage of 11.77 mL.
• Administering lidocaine at 1.0 mg/kg for a 150 lb patient requires 6.82 mL.
• For a patient with a weight of 200 lb needing 0.25 mg/kg of diltiazem, the administered volume will be 22.73 mL.

• In emergencies, when administering adenosine to a 66 lb child, the correct amount is 1.00 mL.
• Morphine administration: 0.2 mg/kg for a 90 lb child equals 0.82 mL.

### Inferential Calculations

• For dopamine drip at 4 µg/kg/min for a 159 kg patient, the infusion rate is 23.85 gtt/min.
• A eudiometric calculation for a 250 lb patient receiving dobutamine at 12 µg/kg/min equals 39 gtt/min.

### Miscellaneous Calculations

• Using common denominators, (11/2)-(2/11) simplifies to 117/22.
• Administration of methylprednisolone for a 137 lb patient at 3 mg/kg results in 3.74 mL.

### Recognizing Patterns

• Many medication orders relate to a patient's weight and a set dosage per kilogram, often requiring conversions from milligrams to mL.

### Summary of Drug Calculations

• Dosages, units of measure, and percent to fraction conversions are foundational skills critical for medical math applications in patient care.

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## Description

This quiz covers essential medic-math concepts and calculations for medication dosages and conversions. Topics include percent conversion, decimal operations, unit conversions, and specific dosage calculations for various medications based on patient weight. Test your knowledge and skills in medication mathematics critical for healthcare professionals.

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