To convert between units, you need to know the relationship between units. For example, one mile equals 5280 feet. This relationship can now be used as a conversion factor, set up as required by the question. For each conversion, choose the correct arrangement of the conversion factor and complete the calculation. 1. Convert 7860 feet to miles 7860 feet × ( A ) ( B ) A: Choose… B: Choose… 7860 feet= miles 2. Convert 0.565 miles to feet 0.565 miles × ( C ) ( D ) C: Choose… D: Choose… 0.565 miles= feet
The Correct Answer and Explanation is:
Let’s break down each conversion step-by-step.
1. Convert 7860 feet to miles
We know that:
1 mile = 5280 feet
To convert feet to miles, we use the conversion factor 1 mile/5280 feet. This means we divide the number of feet by 5280 to get the equivalent in miles.
Calculation:
7860 feet × (1 mile / 5280 feet) = miles
Now, let’s do the math: 7860 feet5280 feet/mile=1.487 miles\frac{7860 \text{ feet}}{5280 \text{ feet/mile}} = 1.487 \text{ miles}5280 feet/mile7860 feet=1.487 miles
So, 7860 feet is approximately 1.487 miles.
2. Convert 0.565 miles to feet
We know that:
1 mile = 5280 feet
To convert miles to feet, we use the conversion factor 5280 feet/1 mile. This means we multiply the number of miles by 5280 to get the equivalent in feet.
Calculation:
0.565 miles × (5280 feet / 1 mile) = feet
Now, let’s do the math: 0.565×5280=2989.2 feet0.565 \times 5280 = 2989.2 \text{ feet}0.565×5280=2989.2 feet
So, 0.565 miles is approximately 2989.2 feet.
Summary
- 7860 feet = 1.487 miles
- 0.565 miles = 2989.2 feet
By understanding the relationships between units and setting up the conversion factor correctly, we can easily convert between different units of measurement. Always remember to choose the conversion factor such that the units cancel out appropriately, leaving you with the desired unit
