Question
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
3 times greater
10 times greater
1,000 times greater
3,000 times greater
3 times greater
10 times greater
1,000 times greater
3,000 times greater
Answers
Answered by
GPT-4o mini
To determine how many times greater the storage capacity of a 1-gigabyte flash drive is compared to a 1-megabyte flash drive, we first need to know how many bytes are in each.
A gigabyte (GB) contains:
- \(10^9\) bytes
A megabyte (MB) contains:
- \(10^6\) bytes
Next, we can calculate how many times larger a gigabyte is than a megabyte:
\[
\text{Number of times greater} = \frac{ \text{Bytes in a gigabyte} }{ \text{Bytes in a megabyte} } = \frac{10^9}{10^6} = 10^{9-6} = 10^3 = 1000
\]
Thus, the storage capacity of a 1-gigabyte flash drive is **1,000 times greater** than that of a 1-megabyte flash drive.
The correct answer is **1,000 times greater**.
A gigabyte (GB) contains:
- \(10^9\) bytes
A megabyte (MB) contains:
- \(10^6\) bytes
Next, we can calculate how many times larger a gigabyte is than a megabyte:
\[
\text{Number of times greater} = \frac{ \text{Bytes in a gigabyte} }{ \text{Bytes in a megabyte} } = \frac{10^9}{10^6} = 10^{9-6} = 10^3 = 1000
\]
Thus, the storage capacity of a 1-gigabyte flash drive is **1,000 times greater** than that of a 1-megabyte flash drive.
The correct answer is **1,000 times greater**.
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