Final answer:
The second object at 106 km is approximately 1.03 times further than the first object at 103 km. For proper comparison, both distances should be in the same unit, after which simple arithmetic can reveal the relation between the two.
Step-by-step explanation:
When comparing distances, it's essential to express both measurements in the same unit to clearly understand which is greater or by how much one is greater than the other. For example, if one object is 103 km away and a second object is 106 km away, we are actually comparing two distances that are already in the same unit, kilometers. In this case, 106 km is merely 3 km farther than 103 km; it is not a multiple times further. To establish a ratio of the greater distance to the lesser one, we can divide 106 by 103, which gives us approximately 1.0291262, meaning the second object is approximately 1.03 times further away than the first object, not a whole multiple times further.
For a better understanding, let's consider the examples given:
- For the distances of 743 km and 74.3 km, once both are expressed in the same unit, it's clear that 743 kilometers is greater than 74.3 kilometers, illustrating how to compare two different distances.
- When comparing 2 km and 400 meters, converting the 400 meters to kilometers (0.4 km) shows that 2 kilometers is greater than 0.4 kilometers.
- For comparing a running race of 5000 meters with another race of 10 kilometers, once you convert 5000 meters to 5 kilometers, it is evident that 10 kilometers is greater than 5 kilometers.
Therefore, it's important to compare distances thoughtfully, ensuring they are expressed in the same units to accurately determine the comparison.