NURS 102 Med Surg I Math Practice Spring 2020, Complete solutions_Rationales.

A nurse is preparing to titrate morphine 6 mg via IV bolus to a client. The amount available is morphine 8 mg/mL. How many mL should the nurse administer per dose? (Round the answer to the nearest hundredth. Use a leading zero if it applies. Do not use a trailing zero.) 0.75 mL Correct Rationale: Ratio and Proportion STEP 1: What is the unit of measurement the nurse should calculate? mL STEP 2: What is the dose the nurse should administer? Dose to administer= Desired 6 mg STEP 3: What is the dose available? Dose available = Have 8 mg STEP 4: Should the nurse convert the units of measurement? No STEP 5: What is the quantity of the dose available? 1 mL STEP 6: Set up an equation and solve for X. Have/Quantity = Desired/X 8 mg/1mL = 6 mg/X mL X = 0.75 STEP 7: Round if necessary. STEP 8: Reassess to determine whether the amount to administer makes sense. If there are 8 mg/mL and the prescription reads 6 mg, it makes sense to administer 0.75 mL. The nurse should titrate morphine 0.75 mL via IV bolus. Desired Over Have STEP 1: What is the unit of measurement the nurse should calculate? mL STEP 2: What is the dose the nurse should administer? Dose to administer= Desired 6 mg STEP 3: What is the dose available? Dose available = Have 8 mg STEP 4: Should the nurse convert the units of measurement? No STEP 5: What is the quantity of the dose available? 1 mL STEP 6: Set up an equation and solve for X. Desired x Quantity/Have = X 6 mg x 1 mL/8 mg = X mL 0.75 = X STEP 7: Round if necessary. STEP 8: Reassess to determine whether the amount to administer makes sense. If there are 8 mg/mL and the prescription reads 6 mg, it makes sense to administer 0.75 mL. The nurse should titrate morphine 0.75 mL via IV bolus. Dimensional Analysis STEP 1: What is the unit of measurement the nurse should calculate? mL STEP 2: What is the quantity of the dose available? 1 mL STEP 3: What is the dose available? Dose available = Have 8 mg STEP 4: What is the dose the nurse should administer? Dose to administer= Desired 6 mg STEP 5: Should the nurse convert the units of measurement? No STEP 6: Set up an equation and solve for X. X = Quantity/Have x Conversion (Have)/Conversion (Desired) x Desired/ X = 1 mL/8 mg x 6 mg/ X = 0.75 STEP 7: Round if necessary. STEP 8: Reassess to determine whether the amount to administer makes sense. If there are 8 mg/mL and the prescription reads 6 mg, it makes sense to administer 0.75 mL. The nurse should titrate morphine 0.75 mL via IV bolus. InCorrect Rationale: Ratio and Proportion STEP 1: What is the unit of measurement the nurse should calculate? mL