1 answer
(click or scroll down)
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:
\[
\boxed{447,000,000,000}
\]