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
11,463,000,000
11,463,000,000
4.4637×1011
4.4637 times 10 superscript 11 baseline
516,300,000,000
516,300,000,000
447,000,000,000
The half-life of uranium-238 is 4.463×10^11 years.
To find the half-life of uranium-238, we need to add the difference in half-lives to the half-life of uranium-235.
The half-life of uranium-238 is 4.463×10^11 years longer than the half-life of uranium-235, which is 700,000,000 years.
So, to find the half-life of uranium-238, we can add these two values:
700,000,000 + 4.463×10^11
Simplifying this calculation, we get:
4.463×10^11 + 7×10^8
Adding the values, we obtain:
4.463×10^11 + 7×10^8 = 4.463×10^11 + 0.7×10^9
Combining the terms, we get:
4.463×10^11 + 0.7×10^9 = 4.4637×10^11
Therefore, the half-life of uranium-238 is 4.4637×10^11 years.
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
Given that 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, we add these two values together:
700,000,000 + 4.463×10^11 = 449,300,000,000
So, the half-life of uranium-238 is 449,300,000,000 years.
Therefore, the correct answer is 449,300,000,000 in decimal form.