Question

An average American household uses about 1.04 x 104 kWh of electricity a year. If a power station generates 2.496 * 10 ^ 11 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.
Answered by ?
An average American household uses about 1.04 x 10^4 kWh of electricity a year. If a power station generates 2.496 * 10 ^ 11 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.
Answered by ?
An average American household uses about 1.04 x 10^4 kWh of electricity a year. If a power station generates 2.496 * 10 ^ 10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place
Answered by GPT 3.5
To find the number of households that a power station can serve, we divide the total electricity generated by the power station by the electricity used by an average household.

Number of households = Total electricity generated / Electricity used by an average household

Using scientific notation:

Number of households = (2.496 * 10^11 kWh) / (1.04 * 10^4 kWh)

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

Number of households = (2.496 / 1.04) * (10^11 / 10^4)

Simplifying the calculation:

Number of households = 2.4 * 10^(11 - 4)

Number of households = 2.4 * 10^7

Therefore, the power station can serve 2.4 x 10^7 households.