To determine the number of quarts present in [tex]\(4.670 \times 10^8\)[/tex] microliters, we need to convert microliters to quarts through a series of unit conversions.
1. Convert microliters to liters:
- Recall that 1 microliter is equal to [tex]\(1 \times 10^{-6}\)[/tex] liters.
- Therefore, to convert [tex]\(4.670 \times 10^8\)[/tex] microliters to liters, we multiply by [tex]\(1 \times 10^{-6}\)[/tex].
[tex]\[ \text{liters} = 4.670 \times 10^8 \, \text{microliters} \times 1 \times 10^{-6} \, \text{liters/microliter} \][/tex]
This results in:
[tex]\[ \text{liters} = 467.0 \, \text{liters} \][/tex]
2. Convert liters to quarts:
- Recall that 1 liter is approximately equal to 1.05669 quarts.
- Therefore, to convert 467.0 liters to quarts, we multiply by 1.05669.
[tex]\[ \text{quarts} = 467.0 \, \text{liters} \times 1.05669 \, \text{quarts/liter} \][/tex]
This results in:
[tex]\[ \text{quarts} \approx 493.47423 \, \text{quarts} \][/tex]
Thus, there are approximately 493.47423 quarts in [tex]\(4.670 \times 10^8\)[/tex] microliters.
