Medication Math Module 4

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Questions and Answers

What is the relationship between kilograms and pounds in terms of weight conversion?

  • 1 kg is equal to 1 lb
  • To convert kg to lb, multiply by 2.2 (correct)
  • 1 kg is equal to 2.2 lbs (correct)
  • To convert lb to kg, add 2.2

Why is it important to calculate drug dosages based on a patient's weight in kilograms?

  • To ensure a uniform dosage across different patients
  • To facilitate easier conversion to grams
  • To simplify record-keeping in medical treatment
  • To avoid overdosing, especially in pediatric patients (correct)

How do you convert grams to milligrams?

  • Multiply the number of grams by 1000 (correct)
  • Divide the number of grams by 1000
  • Add 1000 to the number of grams
  • Subtract the number of grams from 1000

In converting milligrams to micrograms, what mathematical operation is performed?

<p>Multiply by 1000 (B)</p> Signup and view all the answers

What is the purpose of using a common conversion analogy like changing dollars to coins?

<p>To help remember the equivalencies between different units (D)</p> Signup and view all the answers

How many milligrams are in 1 gram?

<p>1000 mg (D)</p> Signup and view all the answers

What is the equivalent of 0.25 grams in milligrams?

<p>250 mg (B)</p> Signup and view all the answers

If 1 mg equals how many micrograms?

<p>1000 mcg (B)</p> Signup and view all the answers

How many milliliters should be administered if a dosage of 25 mg is required and the prefilled syringe reads 50 mg/mL?

<p>1.0 mL (D)</p> Signup and view all the answers

What is the conversion of 800,000 micrograms to milligrams?

<p>800 mg (D)</p> Signup and view all the answers

How many milliliters are in 2,500 mg when the concentration is 50 mg/mL?

<p>25 mL (A)</p> Signup and view all the answers

Convert 500 micrograms to milligrams.

<p>0.5 mg (A)</p> Signup and view all the answers

Which of the following represents the proper conversion of 2 grams to milligrams?

<p>2000 mg (B)</p> Signup and view all the answers

What was the first system of measurement used for drugs?

<p>Apothecary system (B)</p> Signup and view all the answers

Which of the following is a component of the metric system used in drug measurement?

<p>Liter for volume (D)</p> Signup and view all the answers

Which prefix indicates a factor of 1/1,000 in the metric system?

<p>Milli- (B)</p> Signup and view all the answers

How is a milliliter related to a liter in volume measurement?

<p>1 mL equals 1/1,000 of a liter (A)</p> Signup and view all the answers

What is the primary concern with failing to understand unit conversions in medication dosage?

<p>Overdosing or underdosing a patient (C)</p> Signup and view all the answers

What is the relationship between milliliters (mL) and cubic centimeters (cc)?

<p>1 mL equals 1 cc (A)</p> Signup and view all the answers

If you receive an order to administer 2 cc of a medication, what is the corresponding order in milliliters?

<p>2 mL (C)</p> Signup and view all the answers

Which of the following best describes the metric system?

<p>Logical and organized based on multiples of 10 (C)</p> Signup and view all the answers

How many milliliters should you administer for epinephrine (Adrenalin) if it is supplied as 1 mg/mL?

<p>0.3 mL (D)</p> Signup and view all the answers

If furosemide is supplied at a concentration of 40 mg/5 mL, how many milliliters should you administer to deliver 20 mg?

<p>5 mL (B)</p> Signup and view all the answers

What volume should you administer of atropine sulfate if the prefilled syringe reads 1 mg/10 mL for a dose of 0.5 mg?

<p>2 mL (C)</p> Signup and view all the answers

How many milliliters should you administer of verapamil (Isoptin) if it is supplied as 5 mg/2 mL?

<p>2 mL (B)</p> Signup and view all the answers

If you are administering adenosine 12 mg and the syringe reads 6 mg/2 mL, how many milliliters will you administer?

<p>4 mL (A)</p> Signup and view all the answers

How many drops per minute should you administer to deliver 60 mL of fluid over 10 minutes using a microdrip IV set that delivers 60 gk/mL?

<p>360 gk/min (D)</p> Signup and view all the answers

For a fluid challenge of 120 mL of Ringer’s lactate over 20 minutes with an IV infusion set that delivers 20 gk/mL, what is the rate in drops per minute?

<p>120 gk/min (C)</p> Signup and view all the answers

What is the blood pressure reading of the patient in the case study?

<p>88/60 mm Hg (B)</p> Signup and view all the answers

What is the drip rate in drops per minute for administering 150 mL of normal saline over 30 minutes with an IV infusion set delivering 10 gk/mL?

<p>125 drops/min (C)</p> Signup and view all the answers

If administering 300 mL of Ringer’s lactate over 30 minutes with a 10 gk/mL IV set, how many drops should be delivered per minute?

<p>100 drops/min (D)</p> Signup and view all the answers

How many drops per minute are needed to infuse 1,000 mL of normal saline over 5 hours using a macrodrip set delivering 15 gk/mL?

<p>25 drops/min (B), 25 drops/min (D)</p> Signup and view all the answers

To administer 20 mg/min of procainamide via a peripheral IV line delivering 60 gk/mL, how many drops per minute should be run?

<p>100 drops/min (A)</p> Signup and view all the answers

What is the drip rate in drops per minute for an epinephrine infusion at 4 mcg/min using a 250 mL bag with a microdrip set delivering 60 gk/mL?

<p>30 drops/min (A)</p> Signup and view all the answers

For a procainamide infusion prepared by adding 1 g to 250 mL of normal saline at a rate of 3 mg/min, how many drops per minute are needed using a microdrip IV set?

<p>50 drops/min (A)</p> Signup and view all the answers

What is the drug concentration for an epinephrine infusion of 2 mcg/min prepared in a 500 mL normal saline bag?

<p>2 mg/mL (B)</p> Signup and view all the answers

If a patient requires a 60 gk/mL IV set for drip rates, which infusion of procainamide correctly matches the required delivery?

<p>1 g procainamide in 250 mL saline (A)</p> Signup and view all the answers

Flashcards

Kilograms to Pounds Conversion

1 kilogram (kg) is equal to 2.2 pounds (lb)

Converting Pounds to Kilograms

To convert pounds to kilograms, divide the weight in pounds by 2.2.

Milligrams, Grams, and Micrograms: Analogy

The conversion between milligrams (mg), grams (g), and micrograms (µg) is similar to exchanging money: a larger unit (dollar) is exchanged into smaller units (pennies or dimes).

Converting Larger to Smaller Units

To convert from a larger unit to a smaller unit (e.g., grams to milligrams), multiply the larger number by the conversion factor.

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Units Conversion Factors

There are 1000 milligrams (mg) in 1 gram (g) and 1000 micrograms (µg) in 1 milligram (mg).

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Drip Rate

The rate at which a solution is delivered through an intravenous line, measured in drops per minute.

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Microdrip

A type of IV infusion set that delivers a smaller amount of fluid per drop, typically 60 drops per milliliter.

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Macrodrip

A type of IV infusion set that delivers a larger amount of fluid per drop, typically 10 or 15 drops per milliliter.

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Drug Concentration

The amount of medication dissolved in a specific volume of solution.

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Drip Rate Calculation

A calculation that uses the desired dosage, concentration of the IV solution, and the drip rate of the infusion set to determine the flow rate in drops per minute.

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Drops Per Minute

A unit of measurement used to express the flow rate of a liquid, often used in medical contexts.

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Tachycardia

A condition characterized by an abnormally rapid heart rate, typically over 100 beats per minute.

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Milliliter

A unit of measurement commonly used for liquid volumes, abbreviated as 'mL'.

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Apothecary System

A system of measurement used for drugs in the past. It used grains for weight, inches, yards, and miles for linear measures, and minims for volume.

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Metric System

The standard system of measurement for drugs. It's organized and logical, based on a single unit and its multiples or submultiples of 10.

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Gram (g)

Basic unit of weight in the metric system. It's used to measure solids and mass.

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Meter (m)

Basic unit of length in the metric system. It's used to measure distance.

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Liter (L)

Basic unit of volume in the metric system. It's used to measure liquids or fluids.

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Milli (m)

Prefix meaning one thousandth (1/1000), used in the metric system to indicate smaller units

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Centi (c)

Prefix meaning one hundredth (1/100), used in the metric system to indicate smaller units

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Unit Conversions

Essential for accurate medication administration. Converting units ensures the patient receives the correct dosage.

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IV Bolus

A small, concentrated dose of a drug given rapidly through an IV line.

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Dosage (D)

The amount of drug required to achieve the desired effect.

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Drug Concentration (C)

The concentration of the drug in the solution.

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Volume (V)

The total volume of the drug solution to be administered.

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Dosage Formula (D = C x V)

A formula used to calculate the volume of a drug solution needed for a specific dosage.

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Grams to Milligrams Conversion

Converting grams (g) to milligrams (mg).

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Milligrams to Micrograms Conversion

Converting milligrams (mg) to micrograms (mcg).

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Calculating Medication Volume

Calculating the volume of a medication to administer based on the desired dosage and concentration.

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Formula 1 Dosage Calculation

A method used to calculate medication dosages, where you write out the desired dosage, then the available concentration, and then draw a line through the items that have the same units so that you can cross them out and multiply across.

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Epinephrine (Adrenalin) 1:1,000

A medical solution that contains epinephrine, a hormone that helps to increase heart rate and blood pressure.

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Concentration of a Medication

The amount of a medication contained in a specific volume of solution, expressed as a ratio, percentage, or concentration, for example, 1 mg/mL means 1 milligram of medication is present in 1 milliliter of solution.

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Intravenous (IV) Administration

The process of giving a medication or fluid directly into a vein, usually in a short period of time.

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Intravenous Drip Infusion

A method of administering medication or fluid over a longer period, using a drip infusion set.

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Microdrip Infusion Set

A drip infusion set designed to deliver a small volume of fluid or medication at a slow rate.

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Macrodrip Infusion Set

A drip infusion set designed to deliver a larger volume of fluid or medication at a faster rate.

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Study Notes

Medication Math Module 4

  • Medication calculations use different measurement systems.
  • The apothecary system, now less common, used grains for weight measurements and minims for volumes.
  • The metric system, commonly used now, is based on a basic unit and its multiples/submultiples of 10.
  • The metric system's base units for weight, length, and volume are gram (g), meter (m), and liter (L), respectively.
  • Prefixes like kilo, centi, milli, and micro, are used to denote multiples or smaller parts of these units.
  • Converting units is critical to avoid medication errors.
  • Most intravenous (IV) medications are supplied as solutions with concentrations expressed as mg/mL.
  • Drug dosages are often determined based on a patient's weight (kg or lb).

Systems of Measurement

  • Apothecary system was the first measurement system for drugs.
  • Weights in the apothecary system were measured in grains.
  • Measurements for length included inches, yards, and miles.
  • Volumes were measured in minims.
  • The metric system replaced the apothecary system.
  • The metric system is preferred for drug measurement due to its logical organization and use of multiples of 10.
  • It aligns with the U.S. monetary system.

Millimeters and Cubic Centimeters

  • Milliliters (mL) and cubic centimeters (cc) are comparable units of volume.
  • A milliliter is 1/1000 of a liter.
  • A cubic centimeter is based on the centimeter, a unit of length, equal to 1/100 of a meter.
  • 1 milliliter is equal to 1 cubic centimeter (cc)
  • These units are frequently used interchangeably.

Kilograms and Pounds

  • Kilograms (kg) and pounds (lb) are used to measure weight, particularly for pediatric patients and calculating drug dosages tailored to a patient's weight.
  • The conversion factor is 1 kg = 2.2 lb.
  • To convert pounds to kilograms, divide the weight in pounds by 2.2. (e.g., 154 lb ÷ 2.2 lb/kg = 70 kg)

Milligrams, Micrograms, and Grams

  • Converting between milligrams (mg), micrograms (mcg), and grams (g) is crucial.
  • 1 g = 1,000 mg
  • 1 mg = 1,000 mcg
  • To convert grams to milligrams multiply by 1000.
  • To convert milligrams to micrograms, multiply by 1000.

Conversions

  • Accurate conversions between units are essential to administer the correct dose of medication to a patient.
  • Incorrect conversions can lead to medication errors like overdosing or underdosing.
  • IV drugs are often expressed as a concentration (mg/mL).
  • Drug dosages can be based on patient weight (kg or lb), influencing the calculation for safe administration.

Formulas

  • Formulas are used to solve drug problems and determine medication dosages.
  • Formulas are used in conjunction with unit conversions.
  • Common examples include IV bolus, IV push, and drip infusions.

Practice Problems

  • Demonstrate conversions between grams, milligrams, and micrograms.
  • Illustrate examples on calculating dosages based on the patient's weight and the correct unit conversions.
  • Focus on applying the formulas to determine the appropriate amount of medication (in mL).
  • Apply the formula for calculations and conversions based on various types of medication infusion and administration.

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