The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×1011

Question

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

4.4637×1011
4.4637 times 10 superscript 11 baseline

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

11,463,000,000

Answer 1

To find the half-life of uranium-238, we need to add the half-life of uranium-235 to the additional duration mentioned (which is 4.463 × 10^11 years).

1. The half-life of uranium-235 is 700,000,000 years.
2. The additional length of uranium-238's half-life is 4.463 × 10^11 years.

Now, let’s convert 4.463 × 10^11 years into decimal form: \[ 4.463 \times 10^{11} = 446,300,000,000 \text{ years} \]

Now we will add the half-life of uranium-235 to this value: \[ 700,000,000 + 446,300,000,000 = 447,000,000,000 \text{ years} \]

So the half-life of uranium-238 is: \[ \text{447,000,000,000 years} \]

Therefore, the correct response is: 447,000,000,000