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.
To find the number of bytes of storage that each customer can use, we divide the total storage available by the number of customers:
1.326×10^13 bytes / 2.6×10^4 customers = 5.1×10^8 bytes/customer
Therefore, each customer can use 5.1×10^8 bytes of storage.
To calculate the number of bytes of storage each customer can use, divide the total available storage by the number of customers.
1.326 × 10^13 bytes / 2.6 × 10^4 customers
To divide these numbers in scientific notation, divide the coefficients (1.326 / 2.6) and subtract the exponents (10^13 / 10^4).
= (1.326 / 2.6) × 10^(13-4)
= 0.510769 × 10^9
Expressing this answer in scientific notation, to the exact decimal place, we have:
5.10769 × 10^8 bytes of storage per customer.
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.
Given:
Total available storage = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4
To divide the numbers in scientific notation, we can simply subtract the exponents.
Dividing the numbers, we subtract the exponents:
(1.326 × 10^13) / (2.6 × 10^4)
This is equivalent to:
(1.326 / 2.6) × (10^13 / 10^4)
Evaluating the division:
0.509230769 × 10^(13-4) = 0.509230769 × 10^9
Converting the decimal answer to scientific notation:
5.09230769 × 10^8 bytes
Therefore, each customer can use approximately 5.09230769 × 10^8 bytes of storage.