this is a multiple choice

What is 10000000000 Bytes based on engineering notation?
a) 1 TeraBytes
b) 10 TeraBytes
c) 10 GigaBytes
d) 10000 KiloBytes
e) 100 GigaBytes
f) 1000 MegaBytes
g) 100 MegaBytes
h) 100 KiloBytes
i) 10 MegaBytes
j) 100 terabytes

I think my answer is c)

correct

interestingly enough, though, we computer types define
1GB as 2^30 = 1073741824

To convert 10000000000 Bytes to engineering notation, we need to find the appropriate prefix that represents this value.

Since 1 Terabyte (TB) is equal to 1000000000000 Bytes (B), and 1 Gigabyte (GB) is equal to 1000000000 Bytes (B), we can determine the answer by checking which option is closest to 10000000000 Bytes.

Let's go through the options:

a) 1 Terabyte (TB) is equal to 1000000000000 Bytes (B), which is larger than 10000000000 Bytes (B). So this option is too big.

b) 10 Terabytes (TB) is equal to 10000000000000 Bytes (B), which is larger than 10000000000 Bytes (B). So this option is too big as well.

c) 10 Gigabytes (GB) is equal to 10000000000 Bytes (B), which matches our value. So this option is correct.

d) 10000 Kilobytes (kB) is equal to 10000000 Bytes (B), which is smaller than 10000000000 Bytes (B). So this option is too small.

e) 100 Gigabytes (GB) is equal to 100000000000 Bytes (B), which is larger than 10000000000 Bytes (B). So this option is too big.

f) 1000 Megabytes (MB) is equal to 1000000000 Bytes (B), which is smaller than 10000000000 Bytes (B). So this option is too small.

g) 100 Megabytes (MB) is equal to 100000000 Bytes (B), which is smaller than 10000000000 Bytes (B). So this option is too small.

h) 100 Kilobytes (kB) is equal to 100000 Bytes (B), which is smaller than 10000000000 Bytes (B). So this option is too small.

i) 10 Megabytes (MB) is equal to 10000000 Bytes (B), which is smaller than 10000000000 Bytes (B). So this option is too small.

j) 100 Terabytes (TB) is equal to 100000000000000 Bytes (B), which is larger than 10000000000 Bytes (B). So this option is too big.

Therefore, the correct answer is c) 10 Gigabytes.

To answer this question, we need to understand the concept of engineering notation. Engineering notation is a way to express numbers using metric prefixes, making it easier to represent very large or very small values. The metric prefixes are based on powers of 10.

In this question, we are given the quantity of 10000000000 bytes. Let's express this value in engineering notation step by step:

Step 1: Determine the base unit
The base unit for storage is a byte.

Step 2: Convert to the appropriate metric prefix
To convert bytes to a larger metric prefix, we divide by the respective power of 10. In this case, we need to convert to a larger unit, so we divide by 1000 (since kilo means 1000) until we reach an appropriate prefix.

10000000000 bytes ÷ 1000 = 10000000 kilobytes
10000000 kilobytes ÷ 1000 = 10000 megabytes
10000 megabytes ÷ 1000 = 10 gigabytes
10 gigabytes ÷ 1000 = 0.01 terabytes

Step 3: Determine the answer based on the options given
Based on the options provided, the answer would be option c) 10 GigaBytes, since the engineering notation for 10000000000 bytes is indeed 10 gigabytes.

Therefore, based on engineering notation, the answer to the question is c) 10 GigaBytes.