An average American household uses about 1.04x10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496x10^10 kWh per year, How many households can it serve? Write your answer in scientific notation, expressed to the exact as one place.
1. 2.4 x 10^6
2. 2.2 x 10^4
3. 5.1 x 10^8
4. 8 x 10^4
5. idk
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 energy used by each household.
Total energy generated by the power station = 2.496x10^10 kWh
Energy used by each household = 1.04x10^4 kWh
Number of households = (Total energy generated by the power station) / (Energy used by each household)
Number of households = (2.496x10^10 kWh) / (1.04x10^4 kWh)
Number of households = (2.496/1.04) * (10^10/10^4) [Dividing the numbers and subtracting the exponents of 10]
Number of households = 2.4 * 10^6
Hence, the power station can serve approximately 2.4x10^6 households.
To find out how many households a power station can serve, we can divide the total electricity generated by the power station by the average amount of electricity used by one household.
1. First, let's convert both numbers to scientific notation for ease of calculation:
- The average electricity usage per year for one household is given as 1.04 × 10^4 kWh.
- The total electricity generated by the power station per year is given as 2.496 × 10^10 kWh.
2. Next, we can divide the power station's total electricity generation by the average electricity usage per household:
(2.496 × 10^10 kWh) ÷ (1.04 × 10^4 kWh)
3. To divide numbers in scientific notation, we subtract the exponents of the powers of 10 and divide the coefficients:
(2.496 ÷ 1.04) × (10^10 ÷ 10^4)
4. Simplifying the exponents, we get:
2.4 × 10^(10 - 4)
5. Subtracting exponents, we have:
2.4 × 10^6
So, the power station can serve 2.4 × 10^6 households.
To find out how many households can be served by the power station, we need to divide the total electricity generated by the power station by the average electricity usage per household.
Total electricity generated per year: 2.496 x 10^10 kWh
Average electricity usage per household per year: 1.04 x 10^4 kWh
Number of households served = Total electricity generated / Average electricity usage per household
Number of households served = (2.496 x 10^10 kWh) / (1.04 x 10^4 kWh)
Simplifying the expression by dividing the numbers and subtracting the exponents:
Number of households served = 2.496 / 1.04 * 10^10-4
Number of households served = 2.4 * 10^6
Therefore, the power station can serve approximately 2.4 x 10^6 households.