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 Sheila hours per year how many households can it serve? Write your answer in scientific notation expressed to the exact decimal place.
To find the number of households that a Power Station can serve, we need to divide the total amount of electricity generated by the Power Station in a year by the amount of electricity used by an average American household in a year.
The amount of electricity generated by the Power Station is 2.496×10^10 kilowatt hours per year.
The amount of electricity used by an average American household is 1.04×10^4 kilowatt hours per year.
To find the number of households that can be served, we divide the total electricity generated by the electricity used by an average household:
Number of households = (2.496×10^10 kilowatt hours per year) / (1.04×10^4 kilowatt hours per year)
We can simplify this by dividing the numbers and subtracting the exponents:
Number of households = (2.496 / 1.04) × (10^10 / 10^4)
Number of households = 2.4 × 10^6
Therefore, the Power Station can serve 2.4 × 10^6 households.
To determine the number of households that a Power Station can serve, we need to divide the total electricity generated by the average amount of electricity used by a household.
Let's start by converting the given values into standard notation:
- Average electricity used by an American household per year: 1.04 × 10^4 kilowatt hours
- Total electricity generated by the Power Station per year: 2.496 × 10^10 kilowatt hours
To find the number of households that can be served, we divide the total electricity generated by the average electricity used per household:
Number of Households = Total Electricity Generated / Average Electricity Used per Household
Let's substitute the values into the equation:
Number of Households = (2.496 × 10^10 kilowatt hours) / (1.04 × 10^4 kilowatt hours)
Dividing the numbers in standard notation:
Number of Households = (2.496 × 10^10) / (1.04 × 10^4)
Now, to divide these values, we subtract the exponents of the numerator from the exponents of the denominator:
Number of Households = 2.496 / 1.04 × 10^(10-4)
Number of Households = 2.4 × 10^6
Therefore, a Power Station can serve 2.4 × 10^6 (2,400,000) 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 average energy consumption of a household.
Given:
Total energy generated by the Power Station = 2.496 × 10^10 kilowatt hours per year
Average energy consumption per household = 1.04 × 10^4 kilowatt hours per year
To calculate the number of households served, we divide the total energy generated by the average energy consumption per household:
Number of households served = (2.496 × 10^10 kilowatt hours per year) / (1.04 × 10^4 kilowatt hours per year)
Using scientific notation, we simplify and calculate:
Number of households served = (2.496 / 1.04) × 10^10-4 kilowatt hours per year
= 2.4 × 10^10-4 kilowatt hours per year
= 2.307692 × 10^6
Therefore, the Power Station can serve approximately 2.31 × 10^6 households.