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)
To find the number of households that can be served by the power station, we need to divide the total electricity generated by the power station in a year by the average electricity usage of a household in a year.
Number of households = Total electricity generated by power station / Average electricity usage of a household
= (2.496×10^10 kWh) / (1.04×10^4 kWh)
= 2.4×10^6
Therefore, the power station can serve approximately 2.4×10^6 households.
To find the number of households that can be served by the power station, we need to divide the total energy generated by the power station by the energy used by an average household.
Total energy generated by the power station = 2.496×10^10 kWh
Energy used by an average American household per year = 1.04×10^4 kWh
To calculate the number of households that can be served, we divide the total energy generated by the energy used by one household:
Number of households = Total energy generated / Energy used by an average household
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
To simplify the calculation, we can divide the numbers and subtract the exponents:
Number of households = 2.496/1.04 × 10^(10-4)
Number of households = 2.4 × 10^(10-4)
Since 10^(10-4) means dividing by 10 four times, we get:
Number of households = 2.4/10^4
Number of households = 0.00024
Therefore, the power station can serve 0.00024 (in scientific notation) or 24 (in decimal notation) 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 average energy used by each household.
Given:
Total energy generated by the power station = 2.496×10^10 kWh
Average energy used by each household = 1.04×10^4 kWh
To calculate the number of households, we divide the total energy generated by the power station by the average energy used by each household:
Number of households = (Total energy generated by the power station) ÷ (Average energy used by each household)
Number of households = (2.496×10^10 kWh) ÷ (1.04×10^4 kWh)
To divide numbers in scientific notation, we subtract the exponents:
Number of households = 2.496×10^10 ÷ 1.04×10^4
Dividing the constants, we get:
Number of households = 2.4 × (10^10 ÷ 10^4)
To simplify the exponent, we subtract the exponents:
Number of households = 2.4 × 10^(10−4)
Number of households = 2.4 × 10^(6)
Therefore, the power station can serve 2.4 × 10^6 households.