An average American household uses about 1.04 x 10^4 kWh of electricity a year. If a power station generates 2.496 x 10^10 kWh 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 can be served, we need to divide the total electricity generated by the power station by the electricity used by a single household.
Number of households = (Total electricity generated) / (Electricity used by a single household)
Number of households = 2.496 x 10^10 kWh / 1.04 x 10^4 kWh
Let's simplify the expression:
Number of households = (2.496 / 1.04) x 10^(10 - 4)
Number of households = 2.4 x 10^(6)
Therefore, the power station can serve approximately 2.4 x 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.
Given:
Average electricity consumption per household = 1.04 x 10^4 kWh per year
Electricity generated by the power station = 2.496 x 10^10 kWh per year
To find the number of households the power station can serve, we divide the total electricity generated by the average electricity consumption per household:
Number of households = Electricity generated by the power station / Average electricity consumption per household
Number of households = (2.496 x 10^10 kWh) / (1.04 x 10^4 kWh)
To simplify this calculation, divide the numbers first and then subtract the exponents:
Number of households = 2.496 / 1.04 x 10^(10 - 4)
Number of households = 2.4 x 10^6
Therefore, the power station can serve approximately 2.4 x 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 used by each household.
Let's do the calculation step-by-step:
1. Calculate the number of households the power station can serve:
Number of households = Total electricity generated by power station / Average electricity used by each household
2. Convert the given values into scientific notation:
Total electricity generated by power station = 2.496 x 10^10 kWh
Average electricity used by each household = 1.04 x 10^4 kWh
3. Divide the total electricity generated by the power station by the average electricity used by each household:
Number of households = (2.496 x 10^10) / (1.04 x 10^4)
4. Apply the rules of scientific notation for division:
When dividing numbers in scientific notation, subtract the exponents:
Number of households = (2.496 / 1.04) x (10^10 / 10^4)
5. Perform the division of the coefficients:
Number of households = 2.4 x (10^10-10^4)
6. Apply the rule of subtracting exponents:
Number of households = 2.4 x (10^10-4)
7. Subtract the exponents:
Number of households = 2.4 x 10^6
Therefore, the power station can serve 2.4 x 10^6 households.