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

Transcript text: Convert the following measurement. \[ 0.0074 \frac{\mathrm{~g}}{\mathrm{~L}}=\square \frac{\mathrm{mg}}{\mathrm{dL}} \]

Solution

Solution Steps

Step 1: Convert Grams to Milligrams

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

Step 2: Convert Liters to Deciliters

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

Step 3: Combine the Converted Units

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

$\boxed{0.74 \, \frac{\text{mg}}{\text{dL}}}$

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