An average American household uses about 1.04 ×10^4 kWh 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, expressed to the exact decimal place
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 (2.496×10^10 kWh) by the average electricity consumption per household (1.04 ×10^4 kWh).
Dividing these two numbers, (2.496×10^10 kWh) / (1.04 ×10^4 kWh), results in (2.496/1.04)×(10^10/10^4) = 2.4×10^6.
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 amount of electricity generated by the power station by the amount of electricity used by an average American household.
Amount of electricity generated by the power station: 2.496 × 10^10 kWh
Amount of electricity used by an average American household: 1.04 × 10^4 kWh
To perform the division in scientific notation, we subtract the exponents and divide their coefficients:
(2.496 × 10^10) / (1.04 × 10^4) = (2.496 / 1.04) × (10^10 / 10^4) = 2.4 × 10^(10-4) = 2.4 × 10^6
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 electricity used by an average American household.
Given:
Electricity generated by the power station = 2.496 × 10^10 kWh per year
Electricity used by an average American household = 1.04 × 10^4 kWh per year
To calculate the number of households the power station can serve, we can divide the total electricity generated by the electricity used per household:
Number of households = Electricity generated ÷ Electricity used per household
Now, let's perform the calculation:
Number of households = (2.496 × 10^10 kWh) ÷ (1.04 × 10^4 kWh)
When dividing numbers with exponents, we can subtract the exponents since we are dividing by the same base (10 in this case). The result will also be in scientific notation:
Number of households = (2.496 ÷ 1.04) × 10^(10-4) kWh
Simplifying further,
Number of households = 2.4 × 10^6 kWh
Thus, the power station can serve approximately 2.4 × 10^6 households.