Use the fact that one mile is approximately 1.61 kilometers to find the number of miles in 325 kilometers. Round to the nearest hundredth of a mile, if needed.
The Correct Answer and Explanation is:
Correct Answer:
To convert 325 kilometers to miles, use the conversion factor:
1 mile ≈ 1.61 kilometers
We set up the calculation as:Miles=KilometersKilometers per mile=3251.61≈201.86 miles\text{Miles} = \frac{\text{Kilometers}}{\text{Kilometers per mile}} = \frac{325}{1.61} \approx 201.86 \text{ miles}Miles=Kilometers per mileKilometers=1.61325≈201.86 miles
Final Answer:
201.86 miles
Detailed Explanation:
To convert from kilometers to miles, you need to know the relationship between the two units. It is commonly accepted that 1 mile is approximately equal to 1.61 kilometers. That means miles are a larger unit compared to kilometers, so the numerical value in miles will be smaller for the same distance.
The formula to convert kilometers to miles is:Miles=Kilometers1.61\text{Miles} = \frac{\text{Kilometers}}{1.61}Miles=1.61Kilometers
In this case, the distance given is 325 kilometers. Plugging the values into the formula:Miles=3251.61≈201.8634\text{Miles} = \frac{325}{1.61} \approx 201.8634Miles=1.61325≈201.8634
We are asked to round the answer to the nearest hundredth, which is the second decimal place. Looking at the third decimal place, we see that it is a 3, which means we do not round up. Thus, the rounded value is:201.86 miles201.86 \text{ miles}201.86 miles
This result tells us that 325 kilometers is approximately equal to 201.86 miles. Such conversions are useful in fields like travel, transportation, athletics, and engineering where different measurement systems are used. Knowing how to perform the conversion ensures accurate communication of distances across regions that use different units.
Always remember to double-check the conversion factor, as slight variations exist based on different levels of precision, but for general use, 1 mile ≈ 1.61 kilometers is widely accepted.
