An average American household uses about 1.04 x 10* kWh (kilowatt hours) of electricity a year. If a power station generates 2.496 × 101° kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.

5 answers

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 average electricity used by an American household in a year.

Number of households = Total electricity generated / Average electricity used per household

In scientific notation, the total electricity generated by the power station is 2.496 × 10^100 kWh, and the average electricity used by an American household is 1.04 × 10^10 kWh.

Therefore, Number of households = (2.496 × 10^100) / (1.04 × 10^10)

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

Number of households = (2.496 / 1.04) × 10^(100-10) = 2.4 × 10^90

So, the power station can serve approximately 2.4 × 10^90 households.
write that in scientific notation
The number of households that the power station can serve in scientific notation is 2.4 x 10^90.
2.4 x 10^90.
Apologies for the error. The correct scientific notation representation for the number of households that the power station can serve is 2.4 x 10^90.