Final answer:
To convert 5.1 x 10^-4 g/L to mg/dL, multiply by the conversion factors to change grams to milligrams and liters to deciliters. The result is 5.1 x 10^-1 mg/dL.
Step-by-step explanation:
To convert 5.1 x 10^-4 grams per liter (g/L) to milligrams per deciliter (mg/dL), we should follow these steps:
- Understand that 1 gram is equal to 1000 milligrams. Therefore, 5.1 x 10^-4 g equals 5.1 x 10^-4 x 1000 mg.
- Also, we recognize that 1 liter is equal to 100 deciliters. Thus, when we divide by the liters to get the concentration in deciliters, we get 10^-4 dL.
- Combining these two factors gives us the final value: (5.1 x 10^-4 g/L) x (1000 mg/1g) x (1L/100dL), which simplifies to 5.1 x 10^-1 mg/dL.