An athlete is competing in the following races: 100m, 200m, 400m, 800m, 1500m, 5000m, 10,000m. Given 1000 m = 1 kilometer (km), how many km would the athlete run in total?
The athlete would run a total of 18 kilometers.
To compute the total distance, the lengths of all the races are added together. These distances are then converted from meters to kilometers using the conversion factor 1000 meters = 1 kilometer.
This answer is incorrect because it greatly overestimates the total distance the athlete would run. Even if the distances of all the races were in kilometers instead of meters, the total would still not reach 17,000 kilometers.
The total distance of all the races (100m + 200m + 400m + 800m + 1500m + 5000m + 10,000m) is 18,000 meters. Because 1 kilometer equals 1000 meters, the 18,000 meters convert to 18 kilometers. Hence, the total distance run by the athlete is 18 kilometers.
This answer incorrectly assumes that the distances of all races are already given in kilometers, not meters. However, the distances are actually in meters, so they must be converted to kilometers by dividing by 1000.
This answer is incorrect because it greatly overestimates the total distance the athlete would run. Even if the distances of all the races were in kilometers instead of meters, the total would still not reach 18,000,000 kilometers.
The total distance the athlete would run in all the races is 18 kilometers. This is found by summing the lengths of all the races, which are given in meters, and then converting that total to kilometers. All other answer choices significantly overestimate the total distance the athlete would run.
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