Dosage Calculations and Conversion Guidelines

Basic Unit Conversions and Abbreviations

  • Seamless bidirectional conversion (left to right and right to left) between all standard units is required for dosage calculations and for evaluation in NP1.

  • Household and Metric Volume Conversions:

    • 1 cup=8 ounces1\,\text{cup} = 8\,\text{ounces} (Abbreviation: 1 c=8 oz1\,\text{c} = 8\,\text{oz})
    • 1 ounce=30 milliliters1\,\text{ounce} = 30\,\text{milliliters} (Abbreviation: 1 oz=30 mL1\,\text{oz} = 30\,\text{mL})
    • 1 tablespoon=15 milliliters1\,\text{tablespoon} = 15\,\text{milliliters} (Abbreviation: 1 Tbsp=15 mL1\,\text{Tbsp} = 15\,\text{mL})
    • 1 tablespoon=3 teaspoons1\,\text{tablespoon} = 3\,\text{teaspoons} (Abbreviation: 1 Tbsp=3 tsp1\,\text{Tbsp} = 3\,\text{tsp})
    • 1 teaspoon=5 milliliters1\,\text{teaspoon} = 5\,\text{milliliters} (Abbreviation: 1 tsp=5 mL1\,\text{tsp} = 5\,\text{mL})
    • 1 liter=1,000 milliliters1\,\text{liter} = 1{,}000\,\text{milliliters} (Abbreviation: 1 L=1,000 mL1\,\text{L} = 1{,}000\,\text{mL})

  • Weight and Mass Conversions:

    • 1 grain=60 milligrams1\,\text{grain} = 60\,\text{milligrams} or 65 milligrams65\,\text{milligrams} (Abbreviation: 1 gr=60 mg1\,\text{gr} = 60\,\text{mg} or 65 mg65\,\text{mg})
    • 1 gram=15 grains1\,\text{gram} = 15\,\text{grains} (Abbreviation: 1 G=15 gr1\,\text{G} = 15\,\text{gr})
    • 1 kilogram=2.2 pounds1\,\text{kilogram} = 2.2\,\text{pounds} (Abbreviation: 1 kg=2.2 lbs1\,\text{kg} = 2.2\,\text{lbs})
    • 1 kilogram=1,000 grams1\,\text{kilogram} = 1{,}000\,\text{grams} (Abbreviation: 1 kg=1,000 G1\,\text{kg} = 1{,}000\,\text{G})
    • 1 gram=1,000 milligrams1\,\text{gram} = 1{,}000\,\text{milligrams} (Abbreviation: 1 G=1,000 mg1\,\text{G} = 1{,}000\,\text{mg})
    • 1 gram=1,000,000 micrograms1\,\text{gram} = 1{,}000{,}000\,\text{micrograms} (Abbreviation: 1 G=1,000,000 mcg1\,\text{G} = 1{,}000{,}000\,\text{mcg})
    • 1 milligram=1,000 micrograms1\,\text{milligram} = 1{,}000\,\text{micrograms} (Abbreviation: 1 mg=1,000 mcg1\,\text{mg} = 1{,}000\,\text{mcg})

  • Length Conversions:

    • 1 inch=2.54 centimeters1\,\text{inch} = 2.54\,\text{centimeters} (Abbreviation: 1 in=2.54 cm1\,\text{in} = 2.54\,\text{cm})

  • Standard Biological Unit Conversions:

    • 1 unit=1,000 milliunits1\,\text{unit} = 1{,}000\,\text{milliunits} (Abbreviation: 1 unit=1,000 mU1\,\text{unit} = 1{,}000\,\text{mU})

Temperature Conversions

  • Celsius to Fahrenheit Conversion:

    • Process: Multiply the Celsius temperature by 95\frac{9}{5}, then add 3232.
    • Formula: °F=(°C×95)+32\text{°F} = \left(\text{°C} \times \frac{9}{5}\right) + 32

  • Fahrenheit to Celsius Conversion:

    • Process: Subtract 3232 from the Fahrenheit temperature, then multiply by 59\frac{5}{9}.
    • Formula: °C=(°F−32)×59\text{°C} = (\text{°F} - 32) \times \frac{5}{9}

Mathematical Rules and Notation Rules for Dosage Calculations

  • Leading Zero Rule:

    • Always include a leading zero before a decimal point when the number is less than 1 (e.g., 0.40.4).

  • Trailing Zero Rule:

    • Never use trailing zeros following a decimal point (e.g., write 3.23.2, never 3.2003.200).

  • Rounding Rules for Drops:

    • Drops must always be rounded to the nearest whole number.

  • Timing and Execution of Rounding:

    • Rounding should never be completed before or during problem solving.
    • Rounding is exclusively performed as the final step of a dosage calculation.

  • Standard Place-Value Rounding Procedure:

    • Examine the digit directly following the targeted place value:
    • If the digit is 55 or higher, round up the target place value digit.
    • If the digit is less than 55, leave the target place value digit unchanged.

Roman Numerals

  • Essential Roman Numerals (1 through 10):
    • 1=I1 = \text{I}
    • 2=II2 = \text{II}
    • 3=III3 = \text{III}
    • 4=IV4 = \text{IV}
    • 5=V5 = \text{V}
    • 6=VI6 = \text{VI}
    • 7=VII7 = \text{VII}
    • 8=VIII8 = \text{VIII}
    • 9=IX9 = \text{IX}
    • 10=X10 = \text{X}