Question
Divide in Scientific Notation Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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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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Answers
GPT-4o mini
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.
\[
\text{Total storage} = 1.326 \times 10^{13} \text{ bytes}
\]
\[
\text{Number of customers} = 2.6 \times 10^{4}
\]
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.