Alan walked 6.8 kilometers to his friends house . what is the distance in meters?
The Correct Answer and Explanation is:
To convert kilometers to meters, you use the conversion factor that 1 kilometer equals 1,000 meters. Therefore, to convert 6.8 kilometers to meters, you multiply:6.8 km×1,000 m/km=6,800 m6.8 \, \text{km} \times 1,000 \, \text{m/km} = 6,800 \, \text{m}6.8km×1,000m/km=6,800m
So, the distance Alan walked is 6,800 meters.
Explanation:
The metric system is based on powers of 10, which makes conversions between different units relatively simple. In this case, the basic unit for length in the metric system is the meter (m). Larger lengths are measured in kilometers (km), and smaller lengths in millimeters (mm) or centimeters (cm).
The kilometer is defined as 1,000 meters, so when converting from kilometers to meters, you multiply by 1,000. This makes sense because each kilometer is 1,000 meters long. For example, if you think of a typical length like a football field, which is approximately 100 meters long, 10 football fields would cover 1 kilometer.
Converting distances is common in many fields, such as transportation, geography, or even sports, where different units are used for different contexts. If Alan had walked a distance of, say, 3.5 kilometers, you would convert it by multiplying 3.5 by 1,000, giving you 3,500 meters.
In summary, Alan’s 6.8 kilometers is equivalent to 6,800 meters. It’s important to note that this conversion applies only to the metric system. Different systems (like the imperial system) have different conversion factors for length.
