Add Numbers in Scientific Notation Quick Check

Question

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Question
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)
Responses

385.28×1011
385.28 times 10 superscript 11 baseline

5.12×1011
5.12 times 10 superscript 11 baseline

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

512×109
512 times 10 superscript 9 baseline
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Answer 1

To find the total storage of the mobile phone after adding the additional bytes, we first need to express both numbers in scientific notation:

1. The original storage: $$1.28\times {10}^{11}\text{ bytes}$$

2. The additional storage: $$384,000,000,000=3.84\times {10}^{11}\text{ bytes}$$

Now we can add these two quantities together: $$1.28\times {10}^{11}+3.84\times {10}^{11}$$

To add them, we keep the powers of 10 the same: $$(1.28+3.84)\times {10}^{11}=5.12\times {10}^{11}$$

So, the total storage would be: $$5.12\times {10}^{11}\text{ bytes}$$

Therefore, the correct answer is: 5.12×10¹¹.