An average American household uses about 1.04 x 10^4 kWh of electricity a year. If a power station generates 2.496 x 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 by the amount of electricity used by each household.
Total electricity generated by the power station = 2.496 x 10^10 kWh
Electricity used by each household = 1.04 x 10^4 kWh
Number of households that can be served = (Total electricity generated) / (Electricity used by each household)
Number of households = (2.496 x 10^10 kWh) / (1.04 x 10^4 kWh)
To divide numbers in scientific notation, we subtract the exponents:
Number of households = 2.496 / 1.04 x 10^(10-4)
Number of households = 2.4 x 10^6
Therefore, the power station can serve 2.4 x 10^6 households.
I apologize for the incorrect response. Let's recalculate the answer correctly.
To find out how many bytes of storage each customer can use, we need to divide the total storage available by the number of customers.
Total storage available = 1.326 x 10^13 bytes
Number of customers = 2.6 x 10^4
Bytes of storage per customer = (Total storage available) / (Number of customers)
Bytes of storage per customer = (1.326 x 10^13 bytes) / (2.6 x 10^4 customers)
To divide numbers in scientific notation, we subtract the exponents:
Bytes of storage per customer = 1.326 / 2.6 x 10^(13-4)
Bytes of storage per customer = 0.51 x 10^9
Therefore, each customer can use approximately 5.1 x 10^8 bytes of storage.
To express 80,000 in scientific notation, we need to represent it as a number between 1 and 10 multiplied by a power of 10.
80,000 can be written as 8 x 10^4 in scientific notation.
There are about 1.6 x 10^3 meters in a mile. About how many miles are there in 3.52 x 10^7 meters? Write your answer in scientific notation, expressed to the exact decimal place.
To find out how many miles are there in 3.52 x 10^7 meters, we need to divide the total number of meters by the number of meters in a mile.
Number of meters in 3.52 x 10^7 meters = 3.52 x 10^7 meters
Number of meters in a mile = 1.6 x 10^3 meters
Number of miles = (Number of meters) / (Number of meters in a mile)
Number of miles = (3.52 x 10^7 meters) / (1.6 x 10^3 meters)
To divide numbers in scientific notation, we subtract the exponents:
Number of miles = 3.52 / 1.6 x 10^(7-3)
Number of miles = 2.2 x 10^4
Therefore, there are approximately 2.2 x 10^4 miles in 3.52 x 10^7 meters.