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Answer :
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.
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.
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