Questions: Convert the following measurement. 0.0074 g/L = □ mg/dL

Solution Steps

To convert grams to milligrams, use the conversion factor \(1 \, \text{g} = 1000 \, \text{mg}\). Multiply the given value by this factor: \[ 0.0074 \, \text{g} \times 1000 \, \frac{\text{mg}}{\text{g}} = 7.4 \, \text{mg} \]

To convert liters to deciliters, use the conversion factor \(1 \, \text{L} = 10 \, \text{dL}\). Divide the given value by this factor: \[ 1 \, \text{L} = 10 \, \text{dL} \]

Combine the results from Steps 1 and 2 to express the concentration in \(\frac{\text{mg}}{\text{dL}}\): \[ 0.0074 \, \frac{\text{g}}{\text{L}} = 7.4 \, \frac{\text{mg}}{10 \, \text{dL}} = 0.74 \, \frac{\text{mg}}{\text{dL}} \]

Final Answer