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.
To determine how many households a power station can serve, we divide the total power generated by the power used by an average household:
Number of households = Total power generated / Power used per household
Number of households = (2.496 * 10 ^ 11 kWh) / (1.04 * 10 ^ 4 kWh/year)
Simplifying the expression:
Number of households = (2.496 / 1.04) * (10 ^ 11 / 10 ^ 4)
Number of households = 2.4 * (10 ^ (11 - 4))
Number of households = 2.4 * 10 ^ 7
Therefore, the power station can serve 2.4 * 10^7 households.
that isnt the answer
Apologies for the error. Let's redo the calculation:
Number of households = Total power generated / Power used per household
Number of households = (2.496 * 10 ^ 11 kWh) / (1.04 * 10 ^ 4 kWh/year)
Simplifying the expression:
Number of households = (2.496 / 1.04) * (10 ^ (11 - 4))
Number of households = 2.4 * (10 ^ 7)
Therefore, the power station can serve 2.4 * 10^7 households. This is the correct answer expressed in scientific notation.
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.
The total energy generated by the power station is given as 2.496 * 10^11 kWh.
The energy used by an average American household is given as 1.04 * 10^4 kWh.
To divide the two numbers, we subtract the exponents of 10 and divide the coefficients:
(2.496 * 10^11) / (1.04 * 10^4) = (2.496 / 1.04) * (10^11 / 10^4) = 2.4 * 10^(11-4) = 2.4 * 10^7.
Therefore, the power station can serve 2.4 * 10^7 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.
First, let's write the given values in scientific notation:
Total energy generated by power station = 2.496 * 10^11 kWh
Energy used by an average American household = 1.04 * 10^4 kWh
Now, divide the total energy generated by the power station by the energy used by an average American household:
(2.496 * 10^11) / (1.04 * 10^4)
When dividing two numbers in scientific notation, we subtract the exponents of the powers of 10 and divide the coefficients. In this case, we subtract (10^11) - (10^4) = 10^(11-4) = 10^7.
So, the calculation becomes:
(2.496 / 1.04) * 10^(11-4)
Simplifying the fraction, we get:
2.4 * 10^7
Therefore, the power station can serve approximately 2.4 * 10^7 households.