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Answer :
Final answer:
These units denote different powers of ten. For instance, converting kilometers to meters involves multiplying by 1000, due to the definition of 1 km as 1000 m.
Explanation:
The question involves the understanding of diverse units of measurement in the metric system. Some common units in the metric system include kilo, hecto, deca, deci, centi, and milli. These prefixes help to denote the magnitudes of the measurements in powers of ten. For example, 1 kilometer is equal to 1000 meters (10³ meters), 1 centimeter equals 1/100 of a meter (10-² meters), and so on. Simply put, it's all about understanding the conversion factors between these metric units.
In applying this to an example, if you want to convert 12 kilometers to meters, you understand that there are 1000 meters in a kilometer. So, multiplying 12 kilometers by the conversion factor (1000 meters/1 km) gives us 12000 meters.
Similarly, if you are to convert 6 kilometers to meters, we'd have 6*1000 = 6000 meters. Therefore, understanding the concept of metric units and conversion factors is crucial in solving these types of problems.
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