DRUG CALCULATIONS MAKING IT EASY CLASS OUTLINE 1) review roman numerals 2) review apothecary measurements 3) review conversions 4) review 3 steps to dosage calculations 5) practice, practice, practice Plugging in to Memory Roman Numerals APOTHECARY MEASURES What are we talking about? CONVERSIONS - WITHIN SYSTEMS BETWEEN DIFFERENT SYSTEMS WITHIN SYSTEMS MEMORIZE: 1 gram (g or G) = 1000 milligrams (mg) 1 liter (l or L) = 1000 milliliters (ml or mL) 3 teaspoons (t) = 1 tablespoon (T) 1 cubic centimeter (cc) = 1 milliliter (ml) BETWEEN SYSTEMS MEMORIZE: 1 gram (G, GM, gm) = 15 grains (gr) 60 milligrams (mg) = 1 grain (gr) 1 tablespoon (T) = 15 ml 1 kilogram (kg) = 2.2 pounds (lb) 1 ounce (oz) = 30 ml or 30 cc 1 cc = 15 drops (gtt) or 15 minims (mx) 1 inch (in) = 2.5 centimeters (cm) STEPS TO CONVERSION WITHIN SYSTEMS 1) Write down what you know in a ratio or fraction format: Example: 1 Gram 1000 milligrams 2) Write down what you desire in a ratio or fraction format to complete the proportion: Example: 3 Grams x milligrams Remember: The numerator and denominator must be the same unit of measurement The unknown value is referred to as “x” The completed proportion: 1 Gram 1000 mg : : Cross multiply 3 Grams x milligrams 1 GM x X mg(s) = 3 GM x 1000 mg Drop the terms used for units of measurement: 1 X = 3(1000) Solve for X: divide both sides of the equation by the number preceding X: X = 3000 1 1 X = 3000 BETWEEN SYSTEMS 1) Write down what you know in a fraction format: 15 grains 1 gram 2) Complete the proportion by writing down what you desire: 15 grains 1 gram : : HINT: 30 grains X grams Keep the units of measurements in the correct spaces! Drop the units of measurement Cross multiply 15 x X = 30 x 1 15X = 30 Solve for X: Divide each side by the number in front of X : X = 2 ANS: 2 Grams VOILA!! 3 STEPS TO DOSAGE CALCULATION: 1) Convert to units of same system and similar unit 2) STOP AND THINK 3) Desired over amount on hand times quantity EX: desired amount on hand x quantity SAMPLE PROBLEMS 1) Convert: 300 mg to grams 2) Convert: 120 mg to grains 3) Convert: 30 gr to grams 4) A child who weighs 55 pounds weighs ____ kilograms? 5) A patient is restricted to four 8ounce glasses of water per day. The nurse knows that the patient’s fluid intake is restricted to ____ mls per day. 6) The nurse administered aspirin gr v. She knew this was equivalent to _____milligrams(s). 7) Potassium chloride tablets are available in 300 mg doses. The physician prescribed gr v. Give ____ tablet(s). 8) The physician prescribed Capoten, 1.5 grams daily in three equal doses, for hypertension. The nurse would give _____ 1000 mg tablet(s) three times a day. 9) Lasix 30 mg, IM, is prescribed as a diuretic. Lasix was available as 40 mg/mL. The nurse would give ______mL. 10) Scopolamine 0.3 mg was ordered subcutaneously as a preanesthetic medication. The medication was available in ampules containing grains 1/200 per mL. The nurse would give _____mL. 11) The physician prescribed 25 mg of Librium, IM. Add 2 mL of diluent to yield 100 mg/2ML. The nurse should give _____ mL. 12) The physician prescribed 5 mg of Garamycin for a child. The medication is available as 20 mgs/mL. To give 5 mg, you would give ____ mL. PRACTICE, PRACTICE, PRACTICE And HOLLER if you need help!