a mobile phone holds 1.28 x 10^11 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.

Answer 1

To find the total storage of the mobile phone after purchasing the additional bytes, we need to add the original storage (1.28 x 10^11 bytes) to the additional storage (384,000,000,000 bytes).

First, let's convert the additional storage into scientific notation.

384,000,000,000 bytes can be expressed as: \[ 384,000,000,000 = 3.84 \times 10^{11} \text{ bytes} \]

Now, we can add the two amounts together:

1.28 x 10^11 + 3.84 x 10^11

When adding these numbers, since they are in the same power of ten, we simply add the coefficients:

• Coefficient addition: \(1.28 + 3.84 = 5.12\)

Now we can combine this with the power of ten:

• Total storage: \(5.12 \times 10^{11} \text{ bytes}\)

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