To find the number of households the power station can serve, we need to divide the total electricity generated by the power station by the electricity used per household.
Number of households = (total electricity generated)/(electricity used per household)
In scientific notation, the total electricity generated is 2.496×10^10 kilowatt hours per year, and the electricity used per household is 1.04×10^4 kilowatt hours per year.
Number of households = (2.496×10^10)/(1.04×10^4)
Dividing these numbers, we subtract the exponents and divide the coefficients:
Number of households = (2.496/1.04) × 10^(10-4)
Number of households = 2.4 × 10^6
Therefore, the power station can serve 2.4 × 10^6 households.
An average American household uses about 1.04×10^4 kilowatt hours of electricity a year. If a power station generates 2.496×10^10 kilowatt hours per year, how many households can it serve? Write the answer in scientific notation, expressed to the exact decimal place.
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