An average American household uses about 1.04 * 10 ^ 4 kwh KW hours 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 Express to the exact decimal place
To find out how many households the power station can serve, we need to divide the total electricity generation of the power station by the electricity consumption of an average household.
Total electricity generation of the power station: 2.496 * 10^10 kwh
Electricity consumption of an average American household: 1.04 * 10^4 kwh
So, the number of households the power station can serve is:
(2.496 * 10^10 kwh) / (1.04 * 10^4 kwh)
To divide these numbers with the same base (10), the exponent of the denominator (10^4) should be subtracted from the exponent of the numerator (10^10).
2.496 * 10^(10-4) kwh / 1.04
2.496 * 10^6 kwh / 1.04
Dividing 2.496 by 1.04, we get:
2.4
Therefore, the power station can serve 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 amount of electricity used by an average American household in a year.
1.04 * 10^4 kwh = 1.04 * 10^4 kwh/year (since it is given as per year)
2.496 * 10^10 kwh = 2.496 * 10^10 kwh/year (since it is given as per year)
Now, we can divide the total electricity generated by the power station by the electricity used by an average American household in a year:
2.496 * 10^10 kwh / (1.04 * 10^4 kwh/year)
To divide these numbers, we need to subtract the exponents:
(2.496 / 1.04) * 10^(10 - 4)
Simplifying the division:
2.4 * 10^6
Therefore, the power station can serve 2.4 * 10^6 households.
To find the number of households a power station can serve, we need to divide the total electricity generated by the power station by the average electricity usage of an American household.
Given:
Average electricity usage per household = 1.04 * 10^4 kWh
Total electricity generated by the power station = 2.496 * 10^10 kWh
To calculate the number of households:
Number of households = Total electricity generated / Average electricity usage per household
Let's substitute the given values into the equation:
Number of households = (2.496 * 10^10 kWh) / (1.04 * 10^4 kWh)
To divide two numbers written in scientific notation, we can divide their coefficients and subtract the exponents of the powers of 10:
Number of households = (2.496 / 1.04) * 10^(10 - 4)
Simplifying the division of coefficients:
Number of households = 2.4 * 10^(10 - 4)
The exponent 10 - 4 is 6, thus:
Number of households = 2.4 * 10^6
So, the power station can serve approximately 2.4 * 10^6 households.