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

5.12×1011
5.12 times 10 superscript 11 baseline

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

Answer 1

To find the total storage, we need to sum the initial storage and the additional storage.

Initial storage: \(1.28 \times 10^{11}\) bytes
Additional storage: \(384,000,000,000\) bytes

First, convert the additional storage to scientific notation:
\[ 384,000,000,000 = 3.84 \times 10^{11} \]

Now, add the two amounts in scientific notation:
\[ 1.28 \times 10^{11} + 3.84 \times 10^{11} \]

Since the exponents are the same, you can add the coefficients:
\[ (1.28 + 3.84) \times 10^{11} \]
\[ 5.12 \times 10^{11} \]

So, the total storage would be:
\[ 5.12 \times 10^{11} \text{ bytes} \]