Question

Question 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 4.4637×1011 4.4637 times 10 superscript 11 baseline 447,000,000,000 447,000,000,000 11,463,000,000 11,463,000,000 516,300,000,000

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 length given (4.463 × 10^11 years).

1. Convert 4.463 × 10^11 to decimal form:
- \( 4.463 × 10^{11} = 446,300,000,000 \) years (or 446.3 billion years).

2. Now add the two half-lives together:
\[
\text{Half-life of } ^{238}\text{U} = 700,000,000 \text{ years} + 446,300,000,000 \text{ years}
\]
\[
= 447,000,000,000 \text{ years}
\]

Therefore, the half-life of uranium-238 is **447,000,000,000** years (or 4.47 × 10^11 years in scientific notation).

So the correct response is:
**447,000,000,000**.