The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×10^11

Question

years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)
Responses

4.4637×1011
4.4637 times 10 superscript 11 baseline

11,463,000,000
11,463,000,000

447,000,000,000
447,000,000,000

516,300,000,000
516,300,000,000

Answer 1

To find the half-life of uranium-238, we start with the half-life of uranium-235, which is 700,000,000 years. Given that the half-life of uranium-238 is 4.463×10^11 years longer, we can calculate it as follows:

First, convert 4.463×10^11 years into decimal form:

4.463×10^11 = 446,300,000,000 years

Now, we add this value to the half-life of uranium-235:

Half-life of uranium-238 = Half-life of uranium-235 + Additional time Half-life of uranium-238 = 700,000,000 years + 446,300,000,000 years Half-life of uranium-238 = 447,000,000,000 years

Thus, the half-life of uranium-238 is:

447,000,000,000 years (or 4.47×10^11).

So the correct response is:

447,000,000,000.