A thumb drive has a storage capacity of 1,000,000,000 bytes. A hard drive has a storage capacity of 10,000,000,000 bytes.
a. What is the total storage capacity of 1,000 similar thumb drives? Write your answer in exponential notation
b. How many times as great as the storage capacity of the thumb drive is the storage capacity of the thumb drive?
(a) first step: use scientific notation.
(b) Assuming no typo, it is the same (1 times as great)
a. To find the total storage capacity of 1,000 similar thumb drives, we need to multiply the storage capacity of one thumb drive by 1,000.
1 thumb drive = 1,000,000,000 bytes
Total storage capacity of 1,000 thumb drives = 1,000 * 1,000,000,000 bytes = 1,000,000,000,000 bytes
In exponential notation, this is written as 1.0 x 10^12 bytes.
b. To determine how many times greater the storage capacity of a hard drive is compared to a thumb drive, we need to divide the storage capacity of the hard drive by the storage capacity of the thumb drive.
Storage capacity of thumb drive = 1,000,000,000 bytes
Storage capacity of hard drive = 10,000,000,000 bytes
Times greater = Storage capacity of hard drive / Storage capacity of thumb drive
= 10,000,000,000 bytes / 1,000,000,000 bytes
= 10
Therefore, the storage capacity of the hard drive is 10 times greater than the storage capacity of the thumb drive.
To find the total storage capacity of 1,000 similar thumb drives, we need to multiply the storage capacity of one thumb drive by 1,000.
a. 1 thumb drive = 1,000,000,000 bytes
Total storage capacity of 1,000 thumb drives = 1,000 × 1,000,000,000 bytes
To write the answer in exponential notation, we can express 1,000 as 10^3 and 1,000,000,000 as 10^9:
Total storage capacity = 10^3 × 10^9 bytes
When multiplying numbers with the same base, we can add the exponents:
Total storage capacity = 10^(3+9) bytes
Simplifying the exponent, we get:
Total storage capacity = 10^12 bytes (in exponential notation)
b. To determine how many times greater the storage capacity of the hard drive is compared to the thumb drive, we divide the storage capacity of the hard drive by the storage capacity of the thumb drive.
Storage capacity of the hard drive = 10,000,000,000 bytes
Storage capacity of the thumb drive = 1,000,000,000 bytes
Times greater = Storage capacity of the hard drive ÷ Storage capacity of the thumb drive
Times greater = 10,000,000,000 ÷ 1,000,000,000
Simplifying the division, we find:
Times greater = 10
So, the storage capacity of the hard drive is 10 times greater than the storage capacity of the thumb drive.