how many feet are there in two and one half miles
The correct answer and explanation is:
To convert miles to feet, we need to know the basic conversion factor:
1 mile = 5,280 feet.
Now, to find the number of feet in 2.5 miles, we simply multiply the number of miles by the number of feet per mile: 2.5 miles×5,280 feet per mile=13,200 feet.2.5 \, \text{miles} \times 5,280 \, \text{feet per mile} = 13,200 \, \text{feet}.
So, there are 13,200 feet in two and a half miles.
Explanation:
In this conversion, you are using the relationship between miles and feet. This is a standard conversion that works because a mile has been universally defined as 5,280 feet. When you need to convert between units of measurement, it is important to know the exact conversion factor. In this case, multiplying by the factor of 5,280 feet per mile ensures that you get the correct number of feet in any given number of miles.
It’s helpful to keep in mind that distance measurements like miles, feet, kilometers, and meters are often converted in this manner using known conversion factors. These factors can either be found in reference tables or can be memorized for quick use in various situations such as travel, running, or even scientific calculations. The process of converting units is an essential skill in both everyday life and academic fields like physics or engineering.
The reverse process, where you need to convert feet back into miles, would involve dividing by 5,280, which is the inverse of multiplication. Unit conversions like this one help provide clarity in different contexts, from estimating how far you’ve walked to calculating travel time for longer distances.