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.

Answer 1

To find out how many bytes of storage each customer can use, we can divide the total amount of storage by the number of customers.

Given:

• Total storage = \( 1.326 \times 10^{13} \) bytes
• Number of customers = \( 2.6 \times 10^{4} \)

Now, we calculate the storage per customer:

\[ \text{Storage per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^{4}} \]

First, divide the coefficients:

\[ \frac{1.326}{2.6} \approx 0.51 \]

Next, subtract the exponents:

\[ 10^{13} / 10^{4} = 10^{13 - 4} = 10^{9} \]

Now combine them:

\[ \text{Storage per customer} \approx 0.51 \times 10^{9} \]

To express this in proper scientific notation, we convert \( 0.51 \) to \( 5.1 \) by moving the decimal point one place to the right, which increases the exponent by 1.

Thus, we get:

\[ 0.51 \times 10^{9} = 5.1 \times 10^{8} \]

Therefore, the amount of storage each customer can use is:

\[ \boxed{5.1 \times 10^{8}} \text{ bytes} \]