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

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

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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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