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
To find the number of households that can be served by the power station, we divide the total electricity generated by the power station by the 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)
Number of households = 2.4×10^(10-4) / 1.04
Number of households = 2.4×10^6
Therefore, the power station can serve approximately 2.4 million households.
To find out how many miles are there in 3.52×107 meters, we need to divide the given number of meters by the number of meters in a mile.
Number of miles = Total meters / Meters in a mile
Number of miles = (3.52×107 meters) / (1.6×103 meters)
Number of miles = (3.52 / 1.6) × (107 / 103)
We can simplify the fractions before performing the division:
Number of miles = (2.2) × (10^7 / 10^3)
Number of miles = 2.2 × 10^(7-3)
Number of miles = 2.2 × 10^4
Therefore, there are approximately 2.2×10^4 miles in 3.52×107 meters.
To find out how many bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Bytes of storage per customer = Total available storage / Number of customers
Bytes of storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)
To divide these numbers in scientific notation, we divide the coefficients and subtract the exponents:
Bytes of storage per customer = (1.326 / 2.6) × (10^13 / 10^4)
Bytes of storage per customer = 0.510 × 10^(13-4)
Bytes of storage per customer = 0.510 × 10^9
In scientific notation, this can be written as:
Bytes of storage per customer = 5.10×10^8
Therefore, each customer can use approximately 5.10×10^8 bytes of storage.
To find out how many neon tetras the aquarium can house, we need to divide the total gallons of water in the aquarium by the gallons of water needed per neon tetra.
Number of tetras = Total gallons of water / Gallons of water per neon tetra
Number of tetras = (1×10^5 gallons) / (1.25 gallons)
To divide these numbers in scientific notation, we divide the coefficients and subtract the exponents:
Number of tetras = (1 / 1.25) × (10^5 / 1)
Number of tetras = 0.8 × 10^5
In scientific notation, this can be written as:
Number of tetras = 8×10^4
Therefore, the aquarium can house approximately 8×10^4 tetras.
To find out how many feathers would be needed to make a weight of 4.1x10^3 g, we need to divide the total weight by the weight of a single feather.
Number of feathers = Total weight / Weight of a single feather
Number of feathers = (4.1x10^3 g) / (0.0082 g)
To divide these numbers in scientific notation, we divide the coefficients and subtract the exponents:
Number of feathers = (4.1 / 0.0082) × (10^3 / 1)
Number of feathers = 500 × 10^3
In scientific notation, this can be written as:
Number of feathers = 5x10^5
Therefore, you would need approximately 5x10^5 feathers to make a weight of 4.1x10^3 g.
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 usage per household.
The total electricity generated by the power station is given as 2.496×10^10 kWh.
The average electricity usage per household is given as 1.04×10^4 kWh.
To perform the division, we divide the total electricity generated by the average electricity usage per household:
(2.496×10^10 kWh) / (1.04×10^4 kWh)
Dividing the numbers, we get:
(2.496 / 1.04) × (10^10 / 10^4)
Simplifying the exponents, we subtract the exponents:
(2.496 / 1.04) × 10^(10-4)
Performing the division, we get:
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 amount of electricity generated by the power station in a year by the amount of electricity used by an average American household in a year.
Given:
Total electricity generated by the power station = 2.496×10^10 kWh
Electricity used by an average American household in a year = 1.04×10^4 kWh
To calculate the number of households, we divide the total electricity generated by the power station by the electricity used by a household:
Number of households = (Total electricity generated by power station) / (Electricity used by an average American household)
In scientific notation, this can be written as:
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
Now, to divide these numbers in scientific notation, we subtract the exponents and divide the coefficients:
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 approximately 2.4×10^6 households.