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

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

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

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

4.4637×1011

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 (4.463 × 10^11 years).

First, convert \( 4.463 \times 10^{11} \) years to decimal form:

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

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

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

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

\[ \boxed{447,000,000,000} \]