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)

Question

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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GPT 3.5 · Answer

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 by the amount of electricity used by an average American household.

Number of households = Total electricity generated / Electricity used per household

Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)

To divide two numbers in scientific notation, we subtract the exponents and divide the coefficients:

Number of households = (2.496 / 1.04) × 10^(10-4)

Number of households = 2.4 × 10^(10-4)

Number of households = 2.4 × 10^6

Therefore, the power station can serve approximately 2.4 × 10^6 households.