Final answer:
To convert 4.5 km/L to mi/gal, divide the distance in kilometers by 1.609 to get miles, and divide the volume in liters by 3.785 to get gallons. Then, divide the converted distance by the converted volume to find mi/gal. The answer is approximately 1.06 x 10^1 mi/gal.
Step-by-step explanation:
To convert 4.5 km/L to mi/gal in scientific notation and sig figs, we need to use conversion factors to convert kilometers to miles and liters to gallons. Let's start by converting 4.5 km to miles. We know that 1 mile is approximately 1.609 kilometers, so to convert km to miles, we divide by 1.609:
4.5 km / 1.609 km/mi = 2.796 mi
Now, let's convert L to gallons. We know that 1 gallon is approximately 3.785 liters, so to convert L to gallons, we divide by 3.785:
1 L / 3.785 L/gal = 0.264 gal
Now we divide the converted distance (in miles) by the converted volume (in gallons) to get the final answer:
2.796 mi / 0.264 gal = 10.589 mi/gal
Rounding to three significant figures and expressing in scientific notation, the answer is approximately 1.06 x 10^1 mi/gal.