A mobile phone holds 1.28×10 to the power of 11 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)

Question

Responses

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

512×10 to the power of 9
512 times 10 superscript 9 baseline

385.28×10 to the power of 11
385.28 times 10 superscript 11 baseline

5.12×10 to the power of 11

Answer 1

To find the total storage of your phone after buying the additional bytes, you need to add the current storage to the additional storage:

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

Now, let's add the two amounts:

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

So, the total storage after buying the additional bytes will be \( 5.12 \times 10^{11} \) bytes.

The correct answer is:

\( 5.12 \times 10^{11} \)