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QuestionMathematics

How many miles are equivalent to 800 meters? Round the answer to the nearest hundredth.
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Conversion

To convert meters to miles, we need to know the conversion factor between these two units of distance.

Step 3:
: Recall the Conversion Factor

1 \text{ mile} = 1609.344 \text{ meters}
The standard conversion factor is:

Step 4:
: Set Up the Conversion Calculation

\frac{800 \text{ meters}}{1609.344 \text{ meters/mile}}
We'll divide the given distance in meters by the number of meters in a mile:

Step 5:
: Perform the Calculation

800 \div 1609.344 = 0.4971 \text{ miles}

Step 6:
: Round to the Nearest Hundredth

0.4971 \text{ miles} \approx 0.50 \text{ miles}

Final Answer

800 meters is equivalent to 0.50 miles when rounded to the nearest hundredth.