1. **State the problem:** Marcus conjectures that 1 megawatt (MW) equals 100 kilowatts (kW). We need to verify if this is correct and convert 630 MW to kW and watts (W). 2. **Recall the conversion rules:** - 1 MW = 1,000,000 watts (W) - 1 kW = 1,000 watts (W) 3. **Convert 1 MW to kW:** Since 1 kW = 1,000 W, then $$1\text{ MW} = 1,000,000\text{ W} = \frac{1,000,000}{1,000} = 1,000\text{ kW}$$ 4. **Check Marcus's conjecture:** Marcus said 1 MW = 100 kW, but the correct conversion is 1 MW = 1,000 kW. Therefore, Marcus's conjecture is **incorrect**. 5. **Convert 630 MW to kW:** $$630\text{ MW} = 630 \times 1,000\text{ kW} = 630,000\text{ kW}$$ 6. **Convert 630 MW to W:** $$630\text{ MW} = 630 \times 1,000,000\text{ W} = 630,000,000\text{ W}$$ **Final answers:** - Marcus's conjecture is incorrect. - 630 MW = 630,000 kW = 630,000,000 W