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.
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.
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.
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
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 household.
Let's set up the calculation:
Number of households = Total energy generated by power station / Energy used by an average household
Given:
Total energy generated by power station = 2.496 * 10^11 kWh
Energy used by an average American household = 1.04 * 10^4 kWh
Number of households = (2.496 * 10^11 kWh) / (1.04 * 10^4 kWh)
To divide numbers in scientific notation, we subtract the exponents and divide the coefficients:
Number of households = (2.496 / 1.04) * (10^11 / 10^4)
Simplifying the calculation:
Number of households = 2.4 * 10^7
Therefore, the power station can serve approximately 2.4 x 10^7 households.
To determine the number of households a power station can serve, we need to divide the total amount of electricity generated by the power station by the average amount of electricity used by a single household.
Given:
Total amount of electricity generated by the power station = 2.496 * 10^11 kWh per year
Average amount of electricity used by a single household = 1.04 * 10^4 kWh per year
To perform this division, we can express both numbers in scientific notation and divide their coefficients separately, while subtracting the exponents of 10:
2.496 * 10^11 kWh ÷ 1.04 * 10^4 kWh
First, let's divide the coefficients:
2.496 ÷ 1.04 = 2.4
Next, let's subtract the exponents:
10^11 ÷ 10^4 = 10^(11-4) = 10^7
Therefore, the power station can serve approximately 2.4 * 10^7 households.