Eleri wants to be fit for the adventure holiday and to achieve that she runs 2 laps of a running track. Each lap is 400m and she thinks she has run 1km in total. To determine if Eleri is correct, we must first understand the basic units of measurement for distance and how they relate to one another.
A lap of a running track is a distance of 400m. The prefix "kilo" in the unit "kilometer" represents 1000. Therefore, a kilometer is equal to 1000 meters. To convert meters to kilometers, we divide the number of meters by 1000. To convert kilometers to meters, we multiply the number of kilometers by 1000.
To determine the total distance Eleri ran, we must multiply the number of laps by the distance of each lap. 2 laps x 400m per lap = 800m. This is the total distance Eleri ran in meters.
To determine if Eleri ran 1km, we must convert 800m to kilometers. Therefore, to convert meters to kilometers, we divide 800 by 1000. 800m / 1000 = 0.8km.
Therefore, Eleri did not run 1km, she ran 0.8km.
To further demonstrate the accuracy of our calculation, we can use dimensional analysis by using the conversion factor of 1000m = 1km.
800m / (1000m/1km) = 0.8km
This confirms that Eleri ran 0.8km, not 1km.
In conclusion, Eleri is not correct in her assumption that she ran 1km. She actually ran 0.8km which is 800 meters. This was determined by understanding the basic units of measurement for distance, converting the distance from meters to kilometers, and using dimensional analysis to verify our calculations.