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?
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.
Total available storage = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4
Bytes of storage each customer can use = Total available storage / Number of customers
Bytes of storage each customer can use = (1.326 × 10^13) / (2.6 × 10^4)
To divide numbers in scientific notation, we subtract the exponents:
Bytes of storage each customer can use = 1.326 × 10^13 / 2.6 × 10^4
Simplifying:
Bytes of storage each customer can use = 1.326 / 2.6 × 10^(13 - 4)
Bytes of storage each customer can use = 0.509999999999999997 × 10^9
Finally, in standard form:
Bytes of storage each customer can use = 5.1 × 10^8
To find out how many feathers are needed to make a weight of 4.1 × 10^3 g, we need to divide the target weight by the weight of one feather.
Weight of one feather = 0.0082 g
Target weight = 4.1 × 10^3 g
Number of feathers needed = Target weight / Weight of one feather
Number of feathers = (4.1 × 10^3) / 0.0082
To divide numbers in scientific notation, we subtract the exponents:
Number of feathers = 4.1 × 10^3 / 0.0082
Number of feathers = 5 × 10^(3 - (-2))
Number of feathers = 5 × 10^5
Finally, in scientific notation:
Number of feathers = 5.0 × 10^5
A public aquarium is being built to contain neon tetras. Each neon tetra needs 1.25 gallons of water. The aquarium will contain 1×10^5 gallons of water. How many tetras can it house?
To find out how many tetras the aquarium can house, we need to divide the total gallons of water available by the gallons of water needed per tetra.
Total gallons of water available = 1 × 10^5 gallons
Gallons of water needed per tetra = 1.25 gallons
Number of tetras the aquarium can house = Total gallons of water available / Gallons of water needed per tetra
Number of tetras = (1 × 10^5) / 1.25
To divide numbers in scientific notation, we subtract the exponents:
Number of tetras = 1 × 10^5 / 1.25
Number of tetras = 1 × 10^(5 - 0)
Number of tetras = 1 × 10^5
Finally, in standard form:
Number of tetras = 100,000
You sure?
A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1×103 g? Put it in scientific notation
Apologies for the mistake. Let's recalculate the number of tetras the aquarium can house correctly.
Total gallons of water available = 1 × 10^5 gallons
Gallons of water needed per tetra = 1.25 gallons
Number of tetras the aquarium can house = Total gallons of water available / Gallons of water needed per tetra
Number of tetras = (1 × 10^5) / 1.25
Number of tetras = 8 × 10^4
Finally, in standard form:
Number of tetras = 80,000
The aquarium can house 80,000 neon tetras.