An online data storage facility has 1.326×10^13 bites of storage available it has 2.6×10^4 customers how many bytes of storage can each customer use? Write your answer in scientific notation expressed to the exact decimal place.
To find out how many bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Given:
Total storage available = 1.326 × 10^13 bytes
Number of customers = 2.6 × 10^4 customers
To calculate the storage per customer, we divide the total storage by the number of customers:
(1.326 × 10^13 bytes) / (2.6 × 10^4 customers)
When dividing numbers in scientific notation, we subtract the exponents:
1.326 × 10^13 / 2.6 × 10^4 = (1.326 / 2.6) × (10^13 / 10^4)
In scientific notation, multiplying the coefficients (1.326 / 2.6) is straightforward:
(1.326 / 2.6) = 0.510
To multiply the exponents (10^13 / 10^4), we subtract the exponents:
10^13 / 10^4 = 10^(13 - 4) = 10^9
Combining the coefficient and the exponent, we get:
0.510 × 10^9
This number can be further simplified by writing it in decimal form:
0.510 × 10^9 = 510,000,000
So, each customer can use 510,000,000 bytes of storage.
Expressed in scientific notation with the exact decimal place, the answer is:
5.1 × 10^8 bytes
To find the number of bytes of storage each customer can use, we need to divide the total number of bytes available by the number of customers.
1.326×10^13 bits ÷ 2.6×10^4 customers
To divide the numbers with the same base (10), we subtract the exponent of the divisor from the exponent of the dividend and divide the coefficients.
(1.326 ÷ 2.6) × 10^(13-4)
Evaluate the division:
0.5092307692307692 × 10^9
We can express this answer in scientific notation:
5.092307692307692 × 10^8 bytes.
To find out how many bytes of storage each customer can use, we need to divide the total number of bytes available by the number of customers.
The total number of bytes available is given as 1.326×10^13 bytes.
The number of customers is given as 2.6×10^4 customers.
To perform the division, we can divide the coefficients and subtract the exponents:
(1.326×10^13 bytes) / (2.6×10^4 customers)
Dividing 1.326 by 2.6 gives us approximately 0.5092.
Subtracting the exponents gives us 13 - 4 = 9.
So, each customer can use approximately 0.5092×10^9 bytes of storage.
Writing this in scientific notation expressed to the exact decimal place, we get the final answer as 5.092×10^8 bytes.