TOOLS 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)
4.4637 * 10 ^ 11
516,300,000,000
11,463,000,000
447000000000
The half-life of uranium-238 is 4.463 * 10^11 years. So the answer is 4.463 * 10^11.
To find the half-life of uranium-238, we can subtract the half-life of uranium-235 from the given value.
Given:
Half-life of uranium-235 = 700,000,000 years
Difference in half-life = 4.463 × 10^11 years
To find the half-life of uranium-238:
Half-life of uranium-238 = Difference in half-life - Half-life of uranium-235
Half-life of uranium-238 = (4.463 × 10^11) - (700,000,000)
Calculating this value, we get:
Half-life of uranium-238 = 446,300,000,000 years
Therefore, the half-life of uranium-238 is approximately 446.3 billion years.
To find the half-life of uranium-238, we can subtract the half-life of uranium-235 from the given time difference.
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 than that, we can subtract 700,000,000 years from 4.463 * 10^11 years.
To perform this calculation, we can use the scientific notation and regular decimal arithmetic.
1. Convert 4.463 * 10^11 to decimal form:
4.463 * 10^11 = 446,300,000,000
2. Subtract 700,000,000 from 446,300,000,000:
446,300,000,000 - 700,000,000 = 445,600,000,000
Therefore, the half-life of uranium-238 is 445,600,000,000 years when expressed in decimal form.