Answer :
To determine which value is closest to the amount of gasoline in a small car with a full tank containing about 13 gallons, we need to convert gallons into different units and compare the options.
1. Understand the Units:
- 1 gallon is approximately 3.78541 liters.
- 1 liter is 10 deciliters.
- 1 kiloliter is 1,000 liters.
- 1 liter is 1,000 milliliters.
- 1 microliter (µL) is 0.000001 liters.
2. Convert 13 gallons into different units:
- Liters: Multiply 13 gallons by 3.78541 to find the number of liters.
[tex]\[
13 \times 3.78541 \approx 49.21 \, \text{liters}
\][/tex]
- Deciliters: Since 1 liter is 10 deciliters, multiply the liters by 10.
[tex]\[
49.21 \times 10 \approx 492.1 \, \text{deciliters}
\][/tex]
3. Compare the given values:
- [tex]\(85 \, \mu L\)[/tex] is very small compared to 49.21 liters.
- 50 L: This is closest to our conversion result of approximately 49.21 liters.
- [tex]\(3.5 \times 10^2 \, dL\)[/tex] (350 deciliters), which is less than 49.21 liters converted to deciliters.
- 12 kL is 12,000 liters, which is much larger.
- 450 mL is less than half a liter, much smaller than 49.21 liters.
Therefore, the closest value to the amount of gasoline in a small car with a full tank is 50 L.
1. Understand the Units:
- 1 gallon is approximately 3.78541 liters.
- 1 liter is 10 deciliters.
- 1 kiloliter is 1,000 liters.
- 1 liter is 1,000 milliliters.
- 1 microliter (µL) is 0.000001 liters.
2. Convert 13 gallons into different units:
- Liters: Multiply 13 gallons by 3.78541 to find the number of liters.
[tex]\[
13 \times 3.78541 \approx 49.21 \, \text{liters}
\][/tex]
- Deciliters: Since 1 liter is 10 deciliters, multiply the liters by 10.
[tex]\[
49.21 \times 10 \approx 492.1 \, \text{deciliters}
\][/tex]
3. Compare the given values:
- [tex]\(85 \, \mu L\)[/tex] is very small compared to 49.21 liters.
- 50 L: This is closest to our conversion result of approximately 49.21 liters.
- [tex]\(3.5 \times 10^2 \, dL\)[/tex] (350 deciliters), which is less than 49.21 liters converted to deciliters.
- 12 kL is 12,000 liters, which is much larger.
- 450 mL is less than half a liter, much smaller than 49.21 liters.
Therefore, the closest value to the amount of gasoline in a small car with a full tank is 50 L.
