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 point)

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3 answers

To find the number of households that a power station can serve, we divide the total amount of energy generated by the power station by the amount of energy used by an average household.

Number of households = Total energy generated / Energy used per household
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)

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

Number of households = (2.496 / 1.04) × (10^10 / 10^4) = 2.4 × 10^6

Therefore, the power station can serve 2.4 × 10^6 households.
There are about 1.6×103 meters in a mile. About how many miles are there in 3.52×107 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find the number of miles in 3.52×10^7 meters, we divide the number of meters by the number of meters in a mile.

Number of miles = 3.52×10^7 meters / 1.6×10^3 meters

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

Number of miles = (3.52 / 1.6) × (10^7 / 10^3) = 2.2 × 10^4

Therefore, there are 2.2 × 10^4 miles in 3.52×10^7 meters.