An average American household uses about 1.04×10^4 kilowatt hours of electricity a year. If a power station generates 2.496×10^10 kilowatt hours per year, how many households can it serve? Write the answer in scientific notation, expressed to the exact decimal place.
To find the number of households the power station can serve, we need to divide the total electricity generated by the power station by the electricity used per household.
Number of households = (total electricity generated)/(electricity used per household)
In scientific notation, the total electricity generated is 2.496×10^10 kilowatt hours per year, and the electricity used per household is 1.04×10^4 kilowatt hours per year.
Number of households = (2.496×10^10)/(1.04×10^4)
Dividing these numbers, we subtract the exponents and divide the coefficients:
Number of households = (2.496/1.04) × 10^(10-4)
Number of households = 2.4 × 10^6
Therefore, the power station can serve 2.4 × 10^6 households.
To find the number of households that can be served by the power station, divide the total amount of electricity generated by the power station by the amount of electricity used by an average American household.
Number of households = Total electricity generated / Electricity used per household
Number of households = (2.496×10^10 kilowatt hours) / (1.04×10^4 kilowatt hours per household)
To divide the numbers in scientific notation, divide the coefficients and subtract the exponents:
Number of households = 2.496 / 1.04 × 10^(10 - 4)
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 amount of electricity generated per year by the average amount of electricity used per household per year.
Given:
Total electricity generated by the power station per year = 2.496×10^10 kilowatt hours/year
Average electricity used by an American household per year = 1.04×10^4 kilowatt hours/year
The formula to calculate the number of households served is:
Number of households = Total electricity generated / Average electricity used per household
Let's substitute the values into the formula and perform the calculation:
Number of households = (2.496×10^10 kilowatt hours/year) / (1.04×10^4 kilowatt hours/year)
Dividing the numbers, and subtracting the exponents:
Number of households = 2.496×10^10 / 1.04×10^4
= (2.496 / 1.04) × 10^(10-4)
= 2.4 × 10^6
Therefore, the power station can serve approximately 2.4 × 10^6 households.