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

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

4.4637×1011
4.4637 times 10 superscript 11 baseline

447,000,000,000
447,000,000,000

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

Answer 1

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

The half-life of uranium-235 is: \[ 700,000,000 \text{ years} \]

The half-life of uranium-238 is: \[ 4.463 \times 10^{11} \text{ years} \]

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 this to the half-life of uranium-235: \[ \text{Half-life of uranium-238} = 700,000,000 + 446,300,000,000 = 447,000,000,000 \text{ years} \]

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

The correct response is: 447,000,000,000