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)

Answer 1

To find the number of households the power station can serve, we need to divide the total electricity generated by the average electricity usage per household.

Number of households = Total electricity generated / Average electricity usage per household

Number of households = (2.496×1010 kWh) / (1.04×104 kWh/year)

Number of households = (2.496×1010) / (1.04×104)

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

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

Simplifying the division:

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

Number of households = 2.4 x 10^6

Expressing the answer in scientific notation:

Number of households = 2.4×10^6

Answer 2

There are about 1.6×103 meters in a mile. About how many miles are there in 3.52×107 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

Answer 3

To find the number of miles in 3.52x10^7 meters, we need to divide the number of meters by the conversion factor of meters to miles.

Number of miles = 3.52x10^7 meters / (1.6x10^3 meters/mile)

Number of miles = (3.52 / 1.6) x (10^7 / 10^3)

Number of miles = 2.2 x 10^(7-3)

Number of miles = 2.2 x 10^4

Expressing the answer in scientific notation:

Number of miles = 2.2x10^4 miles

Answer 4

An online data storage facility has 1.326×1013 bytes of storage available. It has 2.6×104 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
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Answer 5

To find the number of bytes of storage each customer can use, we need to divide the total storage available by the number of customers.

Bytes of storage per customer = Total storage available / Number of customers

Bytes of storage per customer = (1.326×1013 bytes) / (2.6×104 customers)

Bytes of storage per customer = (1.326 / 2.6) x (10^13 / 10^4)

Simplifying the division:

Bytes of storage per customer = 0.509 x 10^(13-4)

Bytes of storage per customer = 0.509 x 10^9

Expressing the answer in scientific notation:

Bytes of storage per customer = 5.09x10^8 bytes

Answer 6

A public aquarium is being built to contain neon tetras. Each neon tetra needs 1.25 gallons of water. The aquarium will contain 1×105 gallons of water. How many tetras can it house? Write the answer in scientific notation.(1 point)

Answer 7

To find the number of tetras that the aquarium can house, we need to divide the total gallons of water in the aquarium by the amount of water needed per neon tetra.

Number of tetras = Total gallons of water / Gallons of water needed per neon tetra

Number of tetras = (1x10^5 gallons) / (1.25 gallons/tetra)

Number of tetras = (1x10^5) / (1.25)

Number of tetras = 8x10^4

Expressing the answer in scientific notation:

Number of tetras = 8x10^4

Answer 8

A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1×103 g? Write the answer in scientific notation.(1 point)

Answer 9

To find the number of feathers needed to reach a weight of 4.1x10^3 g, we need to divide the desired weight by the weight of each feather.

Number of feathers = Desired weight / Weight of each feather

Number of feathers = (4.1x10^3 g) / (0.0082 g/feather)

Number of feathers = (4.1x10^3) / (0.0082)

Number of feathers = 500x10^1

Number of feathers = 5x10^3

Expressing the answer in scientific notation:

Number of feathers = 5x10^3