A mobile phone holds 1.28×10^11 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.(1 point)

Question

Responses

385.28×1011
385.28 times 10 superscript 11 baseline

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

5.12×1011
5.12 times 10 superscript 11 baseline

512×109

Answer 1

To find the total storage after buying the additional bytes, you would add the two amounts of storage together:

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

First, convert $384,000,000,000$ bytes into scientific notation:

$$384,000,000,000=3.84\times {10}^{11}$$

Now add the two amounts:

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

Thus, the total storage of the phone after purchasing the additional bytes is:

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