How many miles is 8000 yards?
Understand the Problem
The question is asking to convert 8000 yards into miles. This involves understanding the conversion factor between yards and miles, where 1 mile is equal to 1760 yards.
Answer
The conversion of 8000 yards into miles is approximately $4.55$ miles.
Answer for screen readers
The conversion of 8000 yards into miles is approximately $4.55$ miles.
Steps to Solve
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Identify the conversion factor The problem states that 1 mile equals 1760 yards. This means we can use this conversion factor to convert yards into miles.
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Set up the conversion equation To convert 8000 yards into miles, we use the conversion factor as a fraction. We express the equation as follows: $$ \text{Miles} = \frac{\text{Yards}}{1760} $$
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Substitute the value into the equation Next, we substitute the given value (8000 yards) into the equation: $$ \text{Miles} = \frac{8000}{1760} $$
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Perform the division Now we calculate the value: $$ \text{Miles} = 4.545454545454545 , \text{(approx)} $$
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Round the answer if necessary If needed, we can round this to a convenient number of decimal places. In this case, we can round to two decimal places: $$ \text{Miles} \approx 4.55 $$
The conversion of 8000 yards into miles is approximately $4.55$ miles.
More Information
When converting units, it's important to remember the exact conversion factors. In this case, knowing that there are 1760 yards in a mile allows for accurate conversion. This calculation demonstrates practical applications of dimensional analysis in everyday life.
Tips
A common mistake is forgetting to use the correct conversion factor or mixing up the units. Always double-check the conversion factor and ensure the units are consistent.
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