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🧮 Dosage Calculations · Lesson 1 of 5 · 5 min

The Conversions: 2.2, 1000, 30, 5 and 15

⚖️ A child weighs 44 pounds and the dose is per kilogram. Every exam calculation starts with a conversion, and every conversion error multiplies into the final answer.

💡 Key idea

lb ÷ 2.2 = kg. g × 1,000 = mg; mg × 1,000 = mcg. 1 oz = 30 mL, 1 tsp = 5 mL, 1 tbsp = 15 mL. Convert first, calculate second, round last.

🧠 Why it matters

WEIGHT: 1 kg = 2.2 lb, so divide pounds by 2.2 to get kilograms (44 lb ÷ 2.2 = 20 kg). MASS: 1 g = 1,000 mg; 1 mg = 1,000 mcg; 1 grain (gr), an outdated apothecary unit that ISMP says to avoid, is approximately 60 to 65 mg, so gr 1/2 is about 30 mg. VOLUME: 1 L = 1,000 mL; 1 oz = 30 mL; 1 tsp = 5 mL; 1 tbsp = 15 mL; 1 cup = 240 mL. TEMPERATURE: °C × 1.8 + 32 = °F, and (°F − 32) ÷ 1.8 = °C, so 38.5 °C is 101.3 °F. TIME: 1 hour = 60 minutes, and exam IV questions often need minutes. Move the decimal three places for metric mass conversions: 0.25 g = 250 mg; 500 mcg = 0.5 mg. Always write a leading zero (0.5 mg) and never a trailing zero (5 mg, not 5.0 mg), and round at the end, not in the middle.

🏥 In the real world

🧒 A toddler weighs 33 lb. The order is 10 mg/kg. The nurse converts: 33 ÷ 2.2 = 15 kg, then 10 × 15 = 150 mg per dose. A student who skipped the conversion and used 33 would have given 330 mg, more than double the dose. The exam counts on that mistake.

📌 Takeaways

  • Pounds to kilograms: divide by 2.2
  • Metric: move the decimal three places between g, mg and mcg
  • Household: 5 mL teaspoon, 15 mL tablespoon, 30 mL ounce

✅ Test yourself

A client weighs 176 lb. What is the weight in kilograms?
  1. 387 kg
  2. 80 kg
  3. 70 kg
  4. 88 kg

Answer: B · 80 kg

176 ÷ 2.2 = 80 kg.

An order is for 0.125 mg of a medication. How many micrograms is this?
  1. 125 mcg
  2. 1,250 mcg
  3. 0.0125 mcg
  4. 12.5 mcg

Answer: A · 125 mcg

1 mg = 1,000 mcg, so 0.125 × 1,000 = 125 mcg.

A parent is told to give 2 teaspoons of a liquid medication. How many milliliters is that?
  1. 30 mL
  2. 5 mL
  3. 10 mL
  4. 15 mL

Answer: C · 10 mL

1 teaspoon is 5 mL, so 2 teaspoons is 10 mL. Teach parents to use an oral syringe, not a kitchen spoon.

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