Convert 1.5 g/L to milligrams per deciliter.
A. 15 mg/dL
B. 150 mg/dL
C. 1,500 mg/dL
D. 15,000 mg/dL
The Correct Answer and Explanation is:
To convert 1.5 grams per liter (g/L) to milligrams per deciliter (mg/dL), we need to understand both unit conversion and the relationships between grams, milligrams, liters, and deciliters.
Step-by-Step Conversion:
- Convert grams to milligrams:
- We start with 1.5 grams.
- Since 1 gram (g) is equal to 1,000 milligrams (mg), we multiply 1.5 grams by 1,000:
[
1.5 \, \text{g} \times 1,000 = 1,500 \, \text{mg}
] - So, 1.5 grams is equivalent to 1,500 milligrams.
- Convert liters to deciliters:
- Since we want the concentration in milligrams per deciliter, we need to convert 1 liter (L) into deciliters (dL).
- 1 liter equals 10 deciliters, so:
[
1 \, \text{L} = 10 \, \text{dL}
]
- Calculate milligrams per deciliter:
- We now have 1,500 mg per 1 L, or 1,500 mg per 10 dL.
- To find the concentration in mg/dL, divide 1,500 mg by 10:
[
\frac{1,500 \, \text{mg}}{10 \, \text{dL}} = 150 \, \text{mg/dL}
]
Conclusion:
The correct answer is:
B. 150 mg/dL
Explanation:
This conversion process highlights the importance of understanding both metric prefixes and unit conversions. Grams (g) to milligrams (mg) requires multiplying by 1,000 since “milli-” indicates one-thousandth. For volume, converting liters (L) to deciliters (dL) involves multiplying by 10, as “deci-” indicates one-tenth. By breaking down the conversion into these steps, we see that 1.5 g/L is equal to 150 mg/dL, reflecting the concentration accurately in the desired units. Knowing these conversions can be essential in various fields, especially in healthcare, where precise dosing is crucial for patient safety.