An average American household uses abput 1.04 x 10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496 x 10^10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place. (1 point)
To find the number of households the power station can serve, we divide the total amount of electricity generated by the power station by the amount of electricity used by an average American household.
Number of households = Total electricity generated / Electricity used by each household
Number of households = 2.496 x 10^10 kWh / 1.04 x 10^4 kWh
Now, we divide the numbers and subtract the exponents:
Number of households = (2.496 / 1.04) x 10^(10-4) = 2.4 x 10^6
Therefore, the power station can serve 2.4 x 10^6 households.
To find out how many households a power station can serve, we need to divide the total energy generated by the power station by the energy used by an average American household in a year.
Total energy generated by the power station per year: 2.496 x 10^10 kWh
Energy used by an average American household per year: 1.04 x 10^4 kWh
To divide these two values, we subtract the exponents: (10^10)/(10^4) = 10^(10-4) = 10^6
Therefore, the power station can serve 10^6 households.
Expressed in scientific notation, the answer is 1 x 10^6 households.
To determine how many households a power station can serve, we need to divide the total energy generated by the power station by the energy consumption of a single household.
1. Start by converting the energy generated by the power station from scientific notation to decimal notation:
2.496 x 10^10 kWh = 24,960,000,000 kWh
2. Next, divide the total energy generated by the power station by the energy consumption of a single household:
24,960,000,000 kWh / (1.04 x 10^4 kWh) = 24,000,000 households
3. Finally, express the answer in scientific notation:
24,000,000 = 2.4 x 10^7 households
Therefore, the power station can serve 2.4 x 10^7 households.