Question

What is 380 Gigabytes written in scientific notation

Answer 1

380*10⁹=3.8*10²*10⁹=3.8*10¹¹

Answer 2

380Gigabytes in scientific notation is
`3.8* 10^(11)\, bytes`

Explanation:

For understanding the scientific notation let's see an example:

The number
`3520` could be written as
`3.520* 1000`

Now, the number
`1000` could be written in an exponential form, it is
`1000=10* 10* 10=10^3`

So, the number
`3520` could be written as follows:

`3520=3.520* 1000=3.520* 10^3`

The previous value,
`3.520* 10^3` is in scientific notation.

The other thing to take into account is the prefix Giga. It means a multiplication by
`10^9`. So, for the number 380Gigabytes you must write first the number 380 in scientific notation and then multiply it by
`10^9`.

`380=3.8* 100=3.8* 10* 10=3.8* 10^2`

The complete number 380Gigabytes would be:

`380 Gigabytes=3.8* 10^2* 10^9`

When you have two terms with the same base (in a multiplication), you solve it by adding the exponents, it means, to add 2 and 9.

`380 Gigabytes=3.8* 10^(11)\, bytes`

Finally, the number 380Gigabytes in scientific notation is
`3.8* 10^(11)\, bytes`