A mobile phone holds 1.28×1011 bytes of storage. You can also pay more money to get an additional 384,000,000,000 bytes. How much storage would your phone have if you buy the additional bytes? The answer should be in scientific notation.(1 point) Responses 5.12×1011 5.12 times 10 superscript 11 baseline 385,280,000,000 385,280,000,000 385.28×1011 385.28 times 10 superscript 11 baseline 512×109 512 times 10 superscript 9 baseline

Answer 1

To find the total storage of the mobile phone after buying the additional bytes, we need to add the existing storage to the additional storage.

The existing storage is: \[ 1.28 \times 10^{11} \text{ bytes} \]

The additional storage is: \[ 384,000,000,000 \text{ bytes} = 3.84 \times 10^{11} \text{ bytes} \]

Now, we add the two amounts together:

\[ 1.28 \times 10^{11} + 3.84 \times 10^{11} \]

Since both quantities are in terms of \( 10^{11} \), we can combine them:

\[ (1.28 + 3.84) \times 10^{11} = 5.12 \times 10^{11} \text{ bytes} \]

Thus, the total storage of the phone, after purchasing the additional bytes, would be:

\[ \boxed{5.12 \times 10^{11}} \]