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 out how many bytes of storage each customer can use, we divide the total bytes of storage available by the number of customers.
Let's perform the calculation:
1.326 × 10^13 bytes ÷ 2.6 × 10^4 customers
To divide two numbers in scientific notation, divide the coefficients (the numbers in front of the multiplication sign) and subtract the exponents (the numbers after the 10). We get:
(1.326 ÷ 2.6) × (10^13 ÷ 10^4) = 0.510 × 10^(13−4) = 0.510 × 10^9
The final answer is 5.10 × 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:
1.326×1013 bytes ÷ 2.6×104 customers
To divide these numbers, we need to divide the coefficients (1.326 ÷ 2.6) and subtract their exponents (1013 - 104):
1.326 ÷ 2.6 = 0.51076923076
So, the coefficient of our answer is 0.51076923076. Now let's subtract the exponents:
1013 - 104 = 909
Therefore, each customer can use approximately 0.51076923076 x 109 bytes of storage. Written in scientific notation with the exact decimal place, this is:
5.1076923076×108 bytes
To determine how many bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
1.326×10^13 bytes ÷ 2.6×10^4 customers
To divide numbers in scientific notation, we subtract the exponents and divide the coefficients:
1.326 ÷ 2.6 = 0.510
The exponents get subtracted:
10^13 ÷ 10^4 = 10^9
Therefore, each customer can use 0.510 × 10^9 bytes of storage.
Expressing this in scientific notation:
0.510 × 10^9 = 5.10 × 10^8
So each customer can use 5.10×10^8 bytes of storage.