An average American household uses about 1.04 * 10 ^ 4 KW hours of electricity a year if a power station generates 2.496 * 10 ^ 10 kilowatt hours per year how many household can it serve write your answer in scientific notation

1 answer

To find out how many households a power station can serve, we need to divide the total power generated by the power used per household.

Total power generated by the power station: 2.496 * 10^10 kilowatt hours/year

Power used per household: 1.04 * 10^4 kilowatt hours/year

Number of households served = Total power generated / Power used per household

Number of households served = (2.496 * 10^10) / (1.04 * 10^4)

To divide numbers in scientific notation, we subtract the exponents:

Number of households served = 2.496 * 10^(10-4)

Simplifying the exponent:

Number of households served = 2.496 * 10^6

Therefore, the power station can serve 2.496 * 10^6 households.