Blood sugar levels are measured in milligrams of glucose per deciliter of blood volume. If a person's blood sugar level is measured at [tex]$128 \, \text{mg/dL}$[/tex], what is the rate in grams per liter? Round your answer to two decimal places.

Provide your answer below:

[tex]\square \, \text{g}[/tex]

[tex]\square \, \text{L}[/tex]

To convert the blood sugar level from milligrams per deciliter (mg/dL) to grams per liter (g/L), follow these steps:

1. Understand the Units:
- Milligrams (mg) are a unit of mass, and deciliters (dL) are a unit of volume.
- Grams (g) and liters (L) are also units of mass and volume, but they are larger units compared to milligrams and deciliters.

2. Conversion Factors:
- 1 gram (g) is equal to 1000 milligrams (mg), so the conversion factor from mg to g is 0.001 g/mg.
- 1 liter (L) is equal to 10 deciliters (dL), so the conversion factor from dL to L is 0.1 L/dL.

3. Perform the Conversion:
- Start with the given blood sugar level, 128 mg/dL.
- First, convert the milligrams to grams: [tex]$ 128 \, \text{mg} \times 0.001 \, \text{g/mg} = 0.128 \, \text{g/dL} $[/tex].
- Then convert the deciliters to liters: [tex]$ 0.128 \, \text{g/dL} \times \frac{1}{0.1} \, \text{L/dL} = 1.28 \, \text{g/L} $[/tex].

4. Round the Result:
- The final value of the blood sugar level is [tex]$ 1.28 \, \text{g/L} $[/tex].

Therefore, the blood sugar level in grams per liter is 1.28 g/L.