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

Question

4.4637 x 10¹¹

11,463,000,000

516,300,000,000

447,000,000,000

Answer 1

To find the half-life of uranium-238, we need to add the half-life of uranium-235 (700,000,000 years) to the additional time given for uranium-238 (4.463 x 10¹¹ years).

First, we convert the additional time into decimal form:

\[ 4.463 \times 10^{11} = 446,300,000,000 \text{ years} \]

Now we add the two half-lives together:

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

So, the half-life of uranium-238 is \( \boxed{447,000,000,000} \) years.