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)

Question

Responses

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

5.12×1011
5.12 times 10 superscript 11 baseline

385.28×1011
385.28 times 10 superscript 11 baseline

512×109
512 times 10 superscript 9 baseline
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Answer 1

To find the total storage capacity of the mobile phone after purchasing the additional bytes, we'll first convert everything to scientific notation and then add the two quantities.

1. The initial storage is given as \( 1.28 \times 10^{11} \) bytes.
2. The additional storage is given as \( 384,000,000,000 \) bytes. In scientific notation, this can be represented as \( 3.84 \times 10^{11} \) bytes.

Now, we can add these two quantities together:

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

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

The correct response is:

• 5.12×10^11