Question

Use a metric prefix to express 250,000 W.

Answer 1

The metric prefix "kilo-" denotes a factor of 1,000. So, 250 kW is a concise representation of 250,000 watts, simplifying power measurement for practical use and understanding.

Step-by-step explanation:

The metric prefix "kilo-" represents a factor of 1,000. Therefore, to express 250,000 watts in a more convenient form, we use the kilowatt (kW) unit, resulting in 250 kW.

In the metric system, prefixes are used to indicate powers of 10. The prefix "kilo-" specifically denotes a factor of 1,000. Therefore, when we express 250,000 watts in kilowatts, we divide by 1,000 to obtain 250 kW. This conversion simplifies the representation of large values, making them easier to work with and comprehend.

In summary, 250 kW is the appropriate metric prefix for 250,000 watts, providing a more manageable and standardized unit for power measurement. This conversion is fundamental in scientific and engineering contexts, ensuring clarity and consistency in the expression of quantities.

Answer 2

250,000 W can be expressed as 250 kW (kilowatts).

Step-by-step explanation:

Metric prefixes are used to represent powers of ten, making it easier to work with large or small values. In this case, the prefix 'kilo-' represents a factor of 10^3. So, to convert watts (W) to kilowatts (kW), you divide by 1000 since 1 kilowatt equals 1000 watts.

Given that 1 kilowatt (kW) equals 1000 watts (W), to convert 250,000 W to a larger unit using the kilo- prefix, you simply divide 250,000 by 1000:

250,000 W ÷ 1000 = 250 kW

Therefore, 250,000 watts is equivalent to 250 kilowatts. This conversion is commonly used in electrical systems and power measurements, allowing for easier comprehension and comparison of power values across different scales. Kilowatts are frequently used in household energy consumption, industrial power ratings, and various other applications where larger units are more convenient than working with individual watts.