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question 27
100 km = ---- miles
Step1: Recall conversion factor
We know that \( 1 \text{ km} \approx 0.6214 \text{ miles} \) (or a commonly used approximate value \( 1 \text{ km} \approx 0.62 \text{ miles} \), or more roughly \( 1 \text{ km} \approx \frac{5}{8} \text{ miles} = 0.625 \text{ miles} \)). For simplicity, we can use the conversion factor \( 1 \text{ km} \approx 0.6214 \text{ miles} \) or the approximate \( 1 \text{ km} \approx 0.62 \text{ miles} \) or \( 1 \text{ km} \approx \frac{5}{8} \text{ miles} \). Let's use the more accurate \( 1 \text{ km} \approx 0.6214 \text{ miles} \) first, but also check with the approximate \( 0.62 \) or \( 0.625 \).
Step2: Calculate for 100 km
To find how many miles are in 100 km, we multiply the number of kilometers by the conversion factor. So, \( 100 \text{ km} \times 0.6214 \text{ miles/km} = 62.14 \text{ miles} \). If we use the approximate \( 1 \text{ km} \approx 0.62 \text{ miles} \), then \( 100 \times 0.62 = 62 \text{ miles} \). If we use \( 1 \text{ km} \approx \frac{5}{8} \text{ miles} = 0.625 \text{ miles} \), then \( 100 \times 0.625 = 62.5 \text{ miles} \). The most accurate (using the standard conversion) is approximately 62.14 miles, but commonly, people might use 62 miles or 62.5 miles (since \( \frac{5}{8} \) is a common approximation for km to miles).
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Approximately \( 62.14 \) miles (or \( 62 \) miles, or \( 62.5 \) miles depending on the approximation used). If we use the exact conversion factor (more precisely, \( 1 \) kilometer \( = 0.6213711922 \) miles), then \( 100 \) kilometers is \( 100 \times 0.6213711922 = 62.13711922 \) miles, so approximately \( 62.14 \) miles.