Nursing Nerds

Dosage Calculations and IV Math

Book 05 · Page 1515 / 15

The recap card and the ten-minute drill

Figure brief · not yet drawn

One bordered card with an offset shadow holding three stacked bands for the six equations, the CURB checkbox row and the expression rules, above a grid of eight drill cells, with the answer strip set upside down along the foot.

THE SIX EQUATIONS

  • Dose from supply: (desired dose in mg ÷ supply strength in mg) × supply quantity in mL = volume in mL
  • Ratio and proportion: supply strength in mg is to supply quantity in mL as desired dose in mg is to x mL
  • Dimensional analysis: given quantity × (bridging equality) × (bridging equality) = the unit you want
  • Pump rate: total volume in mL ÷ total time in hr = rate in mL/hr
  • Gravity rate: (volume in mL × drip factor in gtt/mL) ÷ time in min = rate in gtt/min
  • Infusion time: total volume in mL ÷ rate in mL/hr = time in hr

Nothing is stated without its units.

THE FOUR-PART SELF-CHECK — CURB

Cancel the units. ☐ Unit asked for is the unit left standing. ☐ Reasonable against the device that will hold it. ☐ Back-calculate into the original stem.

THE EXPRESSION RULES

  • Leading zero always, on every number smaller than one.
  • No trailing zero ever, after the last meaningful digit.
  • Units, micrograms and drug names spelled out in full.

THE TEN-MINUTE DRILL

☐ 1. Convert 0.6 g to milligrams. ______ ☐ 2. Convert 750 mcg to milligrams. ______ ☐ 3. Convert 33 lb to kilograms. ______ ☐ 4. Infuse 2 L over 24 hours by pump. Rate in mL/hr? ______ ☐ 5. Infuse 100 mL over 20 minutes at 10 gtt/mL. Rate in gtt/min? ______ ☐ 6. A 500 mL bag runs at 100 mL/hr. Infusion time in hours? ______ ☐ 7. A bag of 25,000 units in 500 mL is ordered at 1000 units/hr. Rate in mL/hr? ______ ☐ 8. A bag of 100 units in 100 mL runs at 3 mL/hr. Dose in units per hour? ______

ANSWER STRIP (printed inverted along the foot; turn the page to score)

600 mg · 0.75 mg · 15 kg · 83 mL/hr · 50 gtt/min · 5 hr · 20 mL/hr · 3 units/hr

CROSS-LINKS

BOOK 05 · P3 for the drug knowledge these problems assume. → BOOK 07 · P6 for every range a protocol references. Reaching for a reference range inside this book is the single most common scope mistake a reader makes. → BOOK 13 · P8 for pediatric dosing context. → BOOK 16 · P5 for where this drill sits in the countdown.

Margin noteif you can do these cold, the calculation items are free points.

Takeawaysix equations, one self-check, three expression rules; that is the whole book on one card.