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)

Responses

447,000,000,000
447,000,000,000
516,300,000,000
516,300,000,000
11,463,000,000
11,463,000,000
4.4637×101

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To find the half-life of uranium-238, we can start with the given half-life of uranium-235, which is 700,000,000 years, and add the additional time stated (4.463×10^11 years).

First, let's convert \( 4.463 \times 10^{11} \) to decimal form:
\[
4.463 \times 10^{11} = 446,300,000,000 \text{ years}
\]

Now, we need to add that to 700,000,000 years:
\[
700,000,000 \text{ years} + 4.463 \times 10^{11} \text{ years} = 700,000,000 + 446,300,000,000
\]

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

Therefore, the half-life of uranium-238 is:
\[
\text{446,300,000,000 years or } 4.463 \times 10^{11} \text{ years}
\]

The answer in decimal form is:
\[
\boxed{447,000,000,000}
\]