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)
To find the number of households the power station can serve, we need to divide the total electricity generated by the power station by the average electricity used per household.
Dividing 2.496×10^10 kWh by 1.04×10^4 kWh gives us:
(2.496×10^10) / (1.04×10^4) = 2.4×10^(10-4) = 2.4×10^6
Therefore, the power station can serve approximately 2.4×10^6 households.
To find out how many households a power station can serve, we need to divide the total electricity generation of the power station by the average electricity consumption of a household.
Given:
Average electricity consumption of a household = 1.04×10^4 kWh
Power station electricity generation per year = 2.496×10^10 kWh
We can calculate the number of households served by dividing the power station's electricity generation by the average electricity consumption per household:
Number of households served = Power station electricity generation / Average electricity consumption per household
In scientific notation, this can be written as:
Number of households served = (2.496×10^10 kWh) / (1.04×10^4 kWh)
Simplifying the calculation:
Number of households served = (2.496 / 1.04) × (10^10 / 10^4)
Number of households served = 2.4 × 10^6
Therefore, the power station can serve approximately 2.4 × 10^6 households.
To find out how many households a power station can serve, we need to divide the total electricity generated by the power station by the average electricity consumption per household.
First, let's convert the given values to scientific notation:
Total electricity generated by the power station = 2.496 × 10^10 kWh
Average electricity consumption per household = 1.04 × 10^4 kWh
To divide these values, we subtract the exponents:
(2.496 × 10^10 kWh) / (1.04 × 10^4 kWh)
Dividing the coefficients (2.496 / 1.04) gives us 2.4.
Subtracting the exponents (10^10 / 10^4) gives us 10^6.
So, the power station can serve 2.4 × 10^6 households.
Therefore, the answer in scientific notation, expressed to the exact decimal place, is 2.4 × 10^6.
There are about 1.6×10^3 meters in a mile. About how many miles are there in 3.52×10^7 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 need to divide the number of meters by the conversion factor that relates meters to miles.
Given:
Number of meters = 3.52×10^7 meters
Conversion factor from meters to miles = 1.6×10^3 meters/mile
To calculate the number of miles, we divide the number of meters by the conversion factor:
Number of miles = (3.52×10^7 meters) / (1.6×10^3 meters/mile)
Simplifying the calculation:
Number of miles = (3.52 / 1.6) × (10^7 / 10^3)
Number of miles = 2.2 × 10^4
Therefore, there are approximately 2.2 × 10^4 miles in 3.52×10^7 meters.
An online data storage facility has 1.326×10^13 bytes of storage available. It has 2.6×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4
To calculate the storage per customer, we divide the total storage by the number of customers:
Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)
Simplifying the calculation:
Storage per customer = (1.326 / 2.6) × (10^13 / 10^4)
Storage per customer = 0.51 × 10^9
Therefore, each customer can use approximately 0.51 × 10^9 bytes of storage.
wrong
Apologies for the mistake.
To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4
To calculate the storage per customer, we divide the total storage by the number of customers:
Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)
Simplifying the calculation:
Storage per customer = (1.326 / 2.6) × (10^13 / 10^4) = 0.510×10^(13-4) = 0.510×10^9
Therefore, each customer can use approximately 0.510×10^9 bytes of storage.