The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×1011 years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)

Question

Responses

4.4637×1011
4.4637 times 10 superscript 11 baseline

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

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

11,463,000,000

Answer 1

To find the half-life of uranium-238, you need to add the half-life of uranium-235 to the additional time given.

The half-life of uranium-235 is \( 700,000,000 \) years, and the half-life of uranium-238 is \( 4.463 \times 10^{11} \) years longer than that.

First, we need to convert the additional time to decimal form:

\( 4.463 \times 10^{11} = 446,300,000,000 \) years.

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

\[ 700,000,000 + 446,300,000,000 = 447,000,000,000 \text{ years}. \]

Therefore, the half-life of uranium-238 is \( 447,000,000,000 \) years.

So the correct answer is:

447,000,000,000