Divide in Scientific Notation Practice

Question

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
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Answer 1

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: $$\mathbf{5.107692308}\times {\mathbf{10}}^{\mathbf{8}}$$

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.