Math for Health Professionals (ATC)

Preparing solutions requires accurate math.

• Concentration is solute ÷ solution.
• Use C₁V₁ = C₂V₂ for dilutions.
• Measure solute and solvent precisely.
• Correct solutions are essential for safety.

Core math underlies all clinical calculations.

• Master fractions, decimals, percentages, and ratios.
• Use the metric system as the standard.
• Convert between units accurately.
• Estimation catches errors.

Dosage math must be exact.

• Basic formula: desired ÷ have × quantity.
• Weight-based dosing uses mg/kg.
• Account for concentration and form.
• Double-checking prevents errors.

Fluid balance is tracked by intake and output.

• Intake includes fluids, IVs, and food.
• Output includes urine, drainage, and vomit.
• Measured in mL and totaled per shift.
• I&O reveals fluid balance.

Roman numerals appear in some prescriptions.

• Key symbols: I=1, V=5, X=10, L=50, C=100.
• Add when larger precedes smaller; subtract when smaller precedes larger.
• Used for doses and dates.
• Accuracy avoids errors.

IV flow rate math ensures correct delivery.

• Flow rate = (volume × drop factor) ÷ time in minutes.
• Drop factor (gtt/mL) depends on tubing.
• Adjust for the ordered rate.
• Accurate rates keep patients safe.

Converting between systems is common in care.

• Key conversions: 1 kg ≈ 2.2 lb; 1 inch = 2.54 cm.
• 1 L ≈ 1.06 qt.
• Convert weight, length, and volume.
• Precision matters for dosing.

Medical terms communicate measurements and orders.

• Terms are built from roots, prefixes, and suffixes.
• Know common abbreviations (mg, mL, BID, PRN).
• Avoid error-prone abbreviations.
• Clear terminology prevents mistakes.