The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×10^11 years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)

Question

Responses

4.4637×10^11
4.4637 times 10 superscript 11 baseline

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

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

447,000,000,000

Answer 1

To find the half-life of uranium-238, we need to add the half-life of uranium-235 to the additional length given for uranium-238.

The half-life of uranium-235 is 700,000,000 years, and the half-life of uranium-238 is 4.463 × 10^11 years longer than that.

First, we convert 4.463 × 10^11 into decimal form:

4.463 × 10^11 = 446,300,000,000 years.

Now we add the two:

Half-life of uranium-238 = Half-life of uranium-235 + Additional years
= 700,000,000 + 446,300,000,000
= 447,000,000,000 years.

So, the half-life of uranium-238 is 447,000,000,000 years.

The correct answer is:

447,000,000,000 (447 billion years).