A mobile phone holds 1.28 x 10 to the eleventh power 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.

Answer 1

To calculate the total storage of the mobile phone after purchasing the additional bytes, we need to start with the original storage and add the additional storage:

1. Original storage: \( 1.28 \times 10^{11} \) bytes
2. Additional storage: \( 384,000,000,000 \) bytes, which is equivalent to \( 3.84 \times 10^{11} \) bytes in scientific notation.

Now, we can add these two values together:

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

We can combine the coefficients since they have the same exponent:

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

Thus, the total storage of the phone after buying the additional bytes is:

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