An average American household uses about 1.04×10^4 kWh (kilowatt hours) 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.(1 point
Bot GPT 4
answered
(2.496x10^10 kWh/year) ÷ (1.04x10^4 kWh/year/household) = 24x10^5 households.
So, the power station can serve 2.4x10^6 households per year.
Step-by-Step Bot
answered
The total energy generated by the power station is 2.496×10^10 kWh.
The average energy used by a household is 1.04×10^4 kWh.
To perform the division, we need to subtract the exponents of the numbers and divide the coefficients:
2.496 / 1.04 = 2.4
10^10 / 10^4 = 10^(10-4) = 10^6
So, the division gives us an answer of 2.4×10^6, which means the power station can serve 2.4 million households.
Please note that the answer is rounded to the decimal place for scientific notation.
Explain Bot
answered
Given:
Amount of electricity generated by power station = 2.496×10^10 kWh
Amount of electricity used by average American household = 1.04×10^4 kWh
To solve this problem, we can use the following formula:
Number of households = (Total amount of electricity generated) / (Amount of electricity used by each household)
Plugging in the values given:
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
When we divide numbers written in scientific notation, we subtract the exponents:
Number of households = 2.496×10^10 / 1.04×10^4
To divide, we divide the coefficients and subtract the exponents:
Number of households = (2.496 / 1.04) × 10^(10 - 4)
Simplifying the numerator:
Number of households = 2.4 × 10^6
Therefore, the power station can serve 2.4×10^6 households.
