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.
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.
Total available storage = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4
Dividing the total available storage by the number of customers:
1.326 × 10^13 bytes / 2.6 × 10^4 customers
We can simplify this by dividing the coefficients and subtracting the exponents:
(1.326 / 2.6) × 10^(13 - 4) bytes
Calculating the coefficient:
1.326 / 2.6 ≈ 0.5100
The exponent remains the same:
10^(13 - 4) = 10^9
The answer is 0.5100 × 10^9 bytes or 5.100 × 10^8 bytes, expressed in scientific notation to the exact decimal place.
A city lunch program for seniors received a grant of 1.925×10^6 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.
To find out how many senior lunches the grant can provide, we need to divide the total grant amount by the cost of each lunch.
Total grant amount = 1.925 × 10^6 dollars
Cost of each lunch = $2.75
Dividing the total grant amount by the cost of each lunch:
1.925 × 10^6 dollars / $2.75
We can simplify this division:
1.925 × 10^6 / 2.75 ≈ 700,000
The answer is 7 × 10^5 senior lunches, expressed in scientific notation.
To find how many bytes of storage each customer can use, divide the total amount of storage available by the number of customers.
1.326 × 10^13 bytes / 2.6 × 10^4 customers
To divide numbers in scientific notation, divide the coefficients and subtract the exponents of the powers of 10:
(1.326 / 2.6) × 10^(13 - 4)
Simplifying the calculation:
0.510 × 10^9
This can be written in scientific notation as:
5.1 × 10^8 bytes.
Therefore, each customer can use 5.1 × 10^8 bytes of storage.
To find out how many bytes of storage each customer can use, we need to divide the total bytes of storage available by the number of customers.
First, let's convert the given numbers to standard form:
1.326 × 10^13 bytes of storage
2.6 × 10^4 customers
Now, let's perform the division:
(1.326 × 10^13) ÷ (2.6 × 10^4)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:
(1.326 ÷ 2.6) × 10^(13-4)
This simplifies to:
0.5092307692307692 × 10^9
To express the answer in scientific notation with the exact decimal place, we can write it as:
5.092307692307692 × 10^8 bytes per customer
Therefore, each customer can use 5.092307692307692 × 10^8 bytes of storage.