a mobile phone holds 1.2x10611 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 answer

To calculate the total storage of the mobile phone after purchasing the additional bytes, we first need to express both values in scientific notation and then add them together.

  1. The initial storage of the phone is \(1.2 \times 10^{611}\) bytes.
  2. The additional storage is \(384,000,000,000\) bytes, which can be expressed in scientific notation as \(3.84 \times 10^{11}\) bytes.

Now, we need to add these two values together:

\[ 1.2 \times 10^{611} + 3.84 \times 10^{11} \]

Notice that \(10^{611}\) is vastly larger than \(10^{11}\). This means that when adding these two numbers together, the smaller number will have an insignificant impact on the larger number due to the difference in magnitude.

Thus, we can approximate the total storage as:

\[ 1.2 \times 10^{611} \]

So, the total storage of the phone after buying the additional bytes, in scientific notation, remains approximately:

\[ 1.2 \times 10^{611} \text{ bytes} \]