An average American household uses about 1.04×104 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×1010 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
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To find the number of households that a power station can serve, we divide the total amount of energy generated by the power station by the amount of energy used by an average household.
Number of households = Total energy generated / Energy used per household
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
To divide these two numbers written in scientific notation, we subtract the exponents:
Number of households = (2.496 / 1.04) × (10^10 / 10^4) = 2.4 × 10^6
Therefore, the power station can serve 2.4 × 10^6 households.
There are about 1.6×103 meters in a mile. About how many miles are there in 3.52×107 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find the number of miles in 3.52×10^7 meters, we divide the number of meters by the number of meters in a mile.
Number of miles = 3.52×10^7 meters / 1.6×10^3 meters
To divide these two numbers written in scientific notation, we subtract the exponents:
Number of miles = (3.52 / 1.6) × (10^7 / 10^3) = 2.2 × 10^4
Therefore, there are 2.2 × 10^4 miles in 3.52×10^7 meters.
To find out how many households a power station can serve, we divide the total energy generated by the power station by the energy used by each household.
First, let's express the energy usage of an average American household in scientific notation:
1.04×10^4 kWh = 1.04 × 10^4 kWh
Now, to calculate the number of households the power station can serve, we divide the total energy generated by the energy used by each household:
Number of households = Total energy generated / Energy used by each household
Number of households = (2.496×10^10 kWh) / (1.04 × 10^4 kWh)
To simplify the calculation, we can divide the numbers separately and subtract the exponents:
Number of households = (2.496 / 1.04) × (10^10 / 10^4)
Number of households = 2.4 × 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 a power station can serve, we need to divide the total energy generated by the power station by the energy used by an average household.
Given:
Total energy generated by the power station = 2.496×10^10 kWh
Energy used by an average American household per year = 1.04×10^4 kWh
To calculate the number of households served:
Number of households = Total energy generated / Energy used per household
Substituting the given values:
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
To divide numbers written in scientific notation, we subtract the exponents:
Number of households = 2.496×10^10 / 1.04×10^4
When dividing, we subtract the exponents: 10^10 / 10^4 = 10^(10-4) = 10^6
Therefore, the number of households the power station can serve is 2.496×10^6.
Expressed to the exact decimal place, the answer is 2,496,000 households.