To convert between units, you need to know the relationship between units.

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:

To convert between units, you need to use the correct conversion factor based on the relationship between the two units.

1. Convert 7860 feet to miles We know that:
   • 1 mile = 5280 feet
   • To convert feet to miles, divide by 5280.
   So, the calculation would be: 7860 feet×(1 mile5280 feet)7860 \, \text{feet} \times \left( \frac{1 \, \text{mile}}{5280 \, \text{feet}} \right)7860feet×(5280feet1mile​) This will cancel out the feet unit and leave us with miles. Let’s do the math: 78605280=1.4886 miles\frac{7860}{5280} = 1.4886 \, \text{miles}52807860​=1.4886miles So, 7860 feet equals approximately 1.489 miles. Answer: 7860 feet×(15280)=1.489 miles7860 \, \text{feet} \times \left( \frac{1}{5280} \right) = 1.489 \, \text{miles}7860feet×(52801​)=1.489miles
2. Convert 0.565 miles to feet We know that:
   • 1 mile = 5280 feet
   • To convert miles to feet, multiply by 5280.
   So, the calculation would be: 0.565 miles×5280 feet/mile0.565 \, \text{miles} \times 5280 \, \text{feet/mile}0.565miles×5280feet/mile This will cancel out the mile unit and leave us with feet. Let’s do the math: 0.565×5280=2982.4 feet0.565 \times 5280 = 2982.4 \, \text{feet}0.565×5280=2982.4feet So, 0.565 miles equals 2982.4 feet. Answer: 0.565 miles×5280 feet/mile=2982.4 feet0.565 \, \text{miles} \times 5280 \, \text{feet/mile} = 2982.4 \, \text{feet}0.565miles×5280feet/mile=2982.4feet

Summary:

1. 7860 feet=1.489 miles7860 \, \text{feet} = 1.489 \, \text{miles}7860feet=1.489miles
2. 0.565 miles=2982.4 feet0.565 \, \text{miles} = 2982.4 \, \text{feet}0.565miles=2982.4feet

To convert between units, identify the relationship and apply the correct conversion factor in the appropriate direction (multiply or divide) to cancel out the unwanted unit.