QUESTION IMAGE
Question
- which is longer :a megawatt or a kilowatt? how many larger is it?
Step1: Recall unit prefixes
Mega- ($M$) means $10^6$ and kilo- ($k$) means $10^3$. A watt (W) is a unit of power. So, 1 megawatt (MW) = $10^6$ W and 1 kilowatt (kW) = $10^3$ W.
Step2: Compare magnitudes
To find how many times larger a megawatt is than a kilowatt, divide the value of a megawatt in watts by the value of a kilowatt in watts: $\frac{10^6\ \text{W}}{10^3\ \text{W}} = 10^{6 - 3}=10^3 = 1000$.
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A megawatt is larger than a kilowatt. A megawatt is 1000 times larger than a kilowatt.