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 \(\frac{\text{mg}}{\text{dL}}\):
\[
0.0074 \, \frac{\text{g}}{\text{L}} = 7.4 \, \frac{\text{mg}}{10 \, \text{dL}} = 0.74 \, \frac{\text{mg}}{\text{dL}}
\]