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

385,280,000,000
385,280,000,000

512×109
512 times 10 superscript 9 baseline

5.12×1011
5.12 times 10 superscript 11 baseline

385.28×1011

1 answer

To find the total storage of the mobile phone after buying the additional bytes, you simply add the initial storage to the additional storage.

The initial 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, let's add the two amounts: \[ 1.28 \times 10^{11} + 3.84 \times 10^{11} = (1.28 + 3.84) \times 10^{11} = 5.12 \times 10^{11} \text{ bytes} \]

So, if you buy the additional bytes, your phone would have: \[ \boxed{5.12 \times 10^{11}} \]

This corresponds to the option: 5.12×10^11.