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 512×109 512 times 10 superscript 9 baseline 5.12×1011 5.12 times 10 superscript 11 baseline 385,280,000,000 385,280,000,000 385.28×1011

1 answer

To find the total storage of the mobile phone after purchasing the additional bytes, you need to add the current storage to the additional bytes.

Current storage:
\[ 1.28 \times 10^{11} \text{ bytes} \]

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

Now, let's add these two values:

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

To do this, you can keep them in the same power of ten:

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

Thus, if you buy the additional bytes, your phone would have:

\[ \text{Total Storage} = 5.12 \times 10^{11} \text{ bytes} \]

The correct answer is: 5.12×10^11.