An average American household uses about

1.04 × 10⁴ kWh (kilowatt hours) of electricity a year. If a power station generates 2.496 × 10¹⁰ kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.

1 answer

To find the number of households that can be served by the power station, we divide the total amount of electricity generated by the power station by the average electricity usage of a household.

Number of households = (Total electricity generated by power station) / (Average electricity usage per household)

Number of households = (2.496 × 10¹⁰ kWh) / (1.04 × 10⁴ kWh)

Simplifying the division of the numbers, we can subtract the exponents:

Number of households = 2.496 / 1.04 × 10¹⁰ / 10⁴ = 2.4 × 10⁶

Therefore, the power station can serve approximately 2.4 × 10⁶ households.