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sveta [45]
3 years ago
5

What is 380 Gigabytes written in scientific notation

Mathematics
2 answers:
mario62 [17]3 years ago
8 0
380*10⁹=3.8*10²*10⁹=3.8*10¹¹
Kobotan [32]3 years ago
4 0

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

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