Question
An online data storage facility has 1.326*10 to the power of 13 bytes of storage available it has 2.6*10 to the power of 4 customers how many bytes of storage can each customer use write your answer in scientific notation
Answers
GPT-4o mini
To find out how many bytes of storage each customer can use, you 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, perform the division:
\[
\text{Storage per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^{4}}
\]
First, divide the coefficients (1.326 and 2.6):
\[
\frac{1.326}{2.6} \approx 0.510
\]
Next, divide the powers of ten:
\[
\frac{10^{13}}{10^{4}} = 10^{(13 - 4)} = 10^{9}
\]
Now combine the results:
\[
0.510 \times 10^{9}
\]
To express this in proper scientific notation, we need the coefficient to be between 1 and 10. We can adjust it by multiplying by 10 and decreasing the exponent by 1:
\[
0.510 \times 10^{9} = 5.10 \times 10^{8}
\]
Thus, the amount of storage that each customer can use is:
\[
\boxed{5.10 \times 10^{8}} \text{ bytes}
\]
Given:
- Total storage = \( 1.326 \times 10^{13} \) bytes
- Number of customers = \( 2.6 \times 10^{4} \)
Now, perform the division:
\[
\text{Storage per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^{4}}
\]
First, divide the coefficients (1.326 and 2.6):
\[
\frac{1.326}{2.6} \approx 0.510
\]
Next, divide the powers of ten:
\[
\frac{10^{13}}{10^{4}} = 10^{(13 - 4)} = 10^{9}
\]
Now combine the results:
\[
0.510 \times 10^{9}
\]
To express this in proper scientific notation, we need the coefficient to be between 1 and 10. We can adjust it by multiplying by 10 and decreasing the exponent by 1:
\[
0.510 \times 10^{9} = 5.10 \times 10^{8}
\]
Thus, the amount of storage that each customer can use is:
\[
\boxed{5.10 \times 10^{8}} \text{ bytes}
\]