An average American household uses about 1.04 * 10 ^ 4 KW hours of electricity a year if a power station generates 2.496 * 10 ^ 10 kilowatt hours per year how many household can it serve write your answer in scientific notation
To find out how many households a power station can serve, we need to divide the total power generated by the power used per household.
Total power generated by the power station: 2.496 * 10^10 kilowatt hours/year
Power used per household: 1.04 * 10^4 kilowatt hours/year
Number of households served = Total power generated / Power used per household
Number of households served = (2.496 * 10^10) / (1.04 * 10^4)
To divide numbers in scientific notation, we subtract the exponents:
Number of households served = 2.496 * 10^(10-4)
Simplifying the exponent:
Number of households served = 2.496 * 10^6
Therefore, the power station can serve 2.496 * 10^6 households.
To find out how many households a power station can serve, we need to divide the total amount of electricity generated by the power station by the average electricity usage per household.
Given:
Total electricity generated = 2.496 * 10^10 kilowatt hours
Average electricity usage per household = 1.04 * 10^4 kilowatt hours per year
To calculate the number of households the power station can serve, you can use the following equation:
Number of households = Total electricity generated / Average electricity usage per household
Plugging in the given values into the equation, we get:
Number of households = (2.496 * 10^10) / (1.04 * 10^4)
Dividing the numbers and subtracting the exponents, we get:
Number of households = 2.4 * 10^6
Therefore, the power station can serve approximately 2.4 * 10^6 households.
To find out how many households a power station can serve, we need to divide the total electricity generated by the power station by the average electricity consumption of a household.
Step 1: Convert the given values into scientific notation:
Average American household consumption: 1.04 * 10^4 kW hours/year
Power station electricity generation: 2.496 * 10^10 kilowatt hours/year
Step 2: Divide the power station electricity generation by the average household consumption:
(2.496 * 10^10 kWh/year) / (1.04 * 10^4 kWh/year)
Step 3: Perform the division:
(2.496 / 1.04) * (10^10 / 10^4) kWh
= 2.4 * 10^6
Therefore, a power station generating 2.496 * 10^10 kilowatt hours per year can serve approximately 2.4 * 10^6 households.