Divide in Scientific Notation Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
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.(1 point)
Remaining Attempts : 3
Skip to navigation

1 answer

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

\[ \text{Total storage} = 1.326 \times 10^{13} \text{ bytes} \] \[ \text{Number of customers} = 2.6 \times 10^{4} \]

Perform the division:

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

When dividing in scientific notation, divide the coefficients and subtract the exponents:

  1. Divide the coefficients: \[ \frac{1.326}{2.6} \approx 0.5107692308 \]

  2. Subtract the exponents (assuming base 10): \[ 10^{13} / 10^{4} = 10^{13 - 4} = 10^{9} \]

Now combine the results: \[ \text{Bytes per customer} = 0.5107692308 \times 10^{9} \]

To express it in scientific notation, adjust \(0.5107692308\) to \(5.107692308 \times 10^{-1}\): \[ \text{Bytes per customer} = 5.107692308 \times 10^{-1} \times 10^{9} = 5.107692308 \times 10^{8} \]

So, the final answer in scientific notation is: \[ \mathbf{5.107692308 \times 10^{8}} \]

If you need to express it to a certain number of decimal places, please specify that. However, as is, the expression includes all relevant decimal places.