Question

what is 380 Gigabytes written in scientific notation

Answer 1

380*10⁹=3.8*10²*10⁹=3.8*10¹¹

Answer 2

Answer:

380Gigabytes in scientific notation is $3.8\times 10^{11}\, bytes$

Step-by-step explanation:

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

The number $3520$ could be written as $3.520\times 1000$

Now, the number $1000$ could be written in an exponential form, it is $1000=10\times 10\times 10=10^3$

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

$3520=3.520\times 1000=3.520\times 10^3$

The previous value, $3.520\times 10^3$ 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 $10^9$.

$380=3.8\times 100=3.8\times 10\times 10=3.8\times 10^2$

The complete number 380Gigabytes would be:

$380 Gigabytes=3.8\times 10^2\times 10^9$

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.

$380 Gigabytes=3.8\times 10^{11}\, bytes$

Finally, the number 380Gigabytes in scientific notation is $3.8\times 10^{11}\, bytes$