a mobile phone holds 1.28 x 10^11 bytes of storage. You can also pay more to get an additional 384,000,000,000 bytes. the answer should be in scientific notation

1 answer

To find the total storage capacity of the mobile phone after adding the additional storage, we need to add the two values together.

The original storage is: \[ 1.28 \times 10^{11} \text{ bytes} \]

The additional storage is: \[ 384,000,000,000 \text{ bytes} \]

We can express \( 384,000,000,000 \) in scientific notation: \[ 384,000,000,000 = 3.84 \times 10^{11} \text{ bytes} \]

Now, we can add these two values together: \[ 1.28 \times 10^{11} + 3.84 \times 10^{11} \]

First, we combine the coefficients: \[ 1.28 + 3.84 = 5.12 \]

Thus, the total storage in scientific notation becomes: \[ 5.12 \times 10^{11} \text{ bytes} \]

So, the total storage capacity of the mobile phone after the additional storage is: \[ \boxed{5.12 \times 10^{11}} \text{ bytes} \]