A mobile phone holds 1.28×10 to the power of 11 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

First, let's express both amounts of storage in scientific notation for easy addition.

The original amount of storage is:

1.28 × 10^11 bytes.

The additional storage is:

384,000,000,000 bytes, which can be expressed in scientific notation as:

3.84 × 10^11 bytes.

Now, we can add the two amounts together:

1.28 × 10^11 + 3.84 × 10^11.

To add these, we simply add the coefficients since they have the same exponent:

(1.28 + 3.84) × 10^11 = 5.12 × 10^11.

Thus, if you buy the additional bytes, your phone would have:

5.12 × 10^11 bytes of storage.