A mobile phone holds 1.28×1011 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 point)

Question

Responses

385.28×1011
385.28 times 10 superscript 11 baseline

512×109
512 times 10 superscript 9 baseline

385,280,000,000
385,280,000,000

5.12×1011

Answer 1

To find out the total storage of the phone after purchasing the additional bytes, start with the original storage and add the additional storage together.

1. Original storage: $1.28\times {10}^{11}$ bytes
2. Additional storage: $384,000,000,000=3.84\times {10}^{11}$ bytes

Now, add the two amounts:

$$1.28\times {10}^{11}+3.84\times {10}^{11}$$

This can be rewritten as:

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

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

$$\boxed{{\displaystyle 5.12\times {10}^{11}}}$$