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.
To find the number of bytes of storage that each customer can use, we divide the total available storage by the number of customers:
1.326 × 10¹³ bytes / 2.6 × 10⁴ customers.
Dividing the coefficients, we get:
(1.326 / 2.6) × 10¹³ / 10⁴ = 0.510 × 10⁹.
Writing this in scientific notation, we have:
5.10 × 10⁸ bytes.
Therefore, each customer can use 5.10 × 10⁸ bytes of storage.
To find out how many bytes of storage each customer can use, you need to divide the total available storage by the number of customers.
Total available storage: 1.326 × 10¹³ bytes
Number of customers: 2.6 × 10⁴
Divide 1.326 × 10¹³ by 2.6 × 10⁴:
(1.326 × 10¹³) / (2.6 × 10⁴)
To divide numbers in scientific notation, you subtract the exponents and divide the coefficients:
(1.326 / 2.6) × (10¹³ / 10⁴)
Simplify the division of the coefficients:
0.510 × (10¹³-⁴)
The exponent of 10 is subtracted:
0.510 × 10⁹
Therefore, each customer gets 5.10 × 10⁹ bytes of storage.
To find out the number of bytes of storage that each customer can use, we need to divide the total storage capacity by the number of customers.
The total storage capacity is given as 1.326 × 10¹³ bytes.
The number of customers is given as 2.6 × 10⁴.
To divide these two numbers, we subtract the exponents of 10 and divide the coefficients:
(1.326 × 10¹³) / (2.6 × 10⁴) = (1.326 / 2.6) × (10¹³ / 10⁴) = 0.509230769 × (10¹³ / 10⁴)
Now, let's simplify the expression (10¹³ / 10⁴):
10¹³ / 10⁴ = 10^(13 - 4) = 10⁹
Substituting this into the previous expression:
0.509230769 × (10¹³ / 10⁴) = 0.509230769 × 10⁹
Therefore, each customer can use approximately 5.09230769 × 10⁸ bytes (in scientific notation, expressed to the exact decimal place).