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

385.28×1011
385.28 times 10 superscript 11 baseline

512×109
512 times 10 superscript 9 baseline

5.12×1011
5.12 times 10 superscript 11 baseline

1 answer

To find the total storage after buying the additional bytes, we need to add:

  1. The original storage: \(1.28 \times 10^{11}\) bytes
  2. The additional storage: \(384,000,000,000\) bytes

First, let's express the additional storage in scientific notation:

\[ 384,000,000,000 = 3.84 \times 10^{11} \]

Now, we can add the two quantities:

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

Therefore, the total storage of the phone after purchasing the additional bytes is:

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