An average American household uses about 1.04×10^5 kilowatt hours of electricity, a year. If a Power Station generates 2.496×10^10 Sheila hours 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 can be served by the Power Station, we need to divide the total generated Sheila hours by the amount of electricity an average household uses in a year.
Total Sheila hours generated by the Power Station = 2.496×10^10
Electricity used by an average household in a year = 1.04×10^5
So, the number of households served = (2.496×10^10) / (1.04×10^5)
To divide these numbers, we subtract the exponents: 10^10 / 10^5 = 10^(10-5) = 10^5
Therefore, the number of households served = 2.496×10^10 / 1.04×10^5 = 2.4×10^5.
The answer, expressed in scientific notation to the exact decimal place, is 2.4×10^5.
To find 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 an American household in a year.
First, let's convert the energy usage of an American household into kilowatt hours (kWh). The given value of 1.04×10^5 kilowatt hours already represents the energy used by an average American household.
Next, we need to convert the energy generated by the Power Station from sheila hours to kilowatt hours (kWh). Since we are not given the conversion factor between sheila hours and kilowatt hours, we cannot perform this step. Could you please provide the conversion factor or clarify the units of energy generated by the Power Station?
Once we have the conversion factor, we can proceed to calculate the number of households a Power Station can serve.
To find out how many households a Power Station can serve, we can divide the total energy generated by the Power Station by the average energy used by a household.
Total energy generated by the Power Station = 2.496 × 10^10 kilowatt hours
Average energy used by an American household = 1.04 × 10^5 kilowatt hours
Therefore, the number of households the Power Station can serve is:
Number of households = Total energy generated by the Power Station / Average energy used by a household
Number of households = (2.496 × 10^10) / (1.04 × 10^5)
Now, let's simplify the expression by dividing the coefficients and subtracting the exponents:
Number of households = 2.496 / 1.04 × 10^10 / 10^5
Number of households = 2.4 × 10^10
So, the Power Station can serve approximately 2.4 × 10^10 households.