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

385.28×1011
385.28 times 10 superscript 11 baseline

385,280,000,000

1 answer

To find out how much storage your phone would have if you buy the additional bytes, you simply add the original storage to the additional storage.

  1. Original storage: \( 1.28 \times 10^{11} \) bytes
  2. Additional storage: \( 384,000,000,000 \) bytes, which can be expressed in scientific notation as \( 3.84 \times 10^{11} \) bytes.

Now, let's perform the addition:

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

To add these, we can combine the coefficients while keeping the power of ten the same:

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

Therefore, if you buy the additional bytes, your phone would have \( 5.12 \times 10^{11} \) bytes of storage.

The correct answer is: 5.12×10^11