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)
The half-life of uranium-238 is 700,000,000 + 4.463×10^11 = 4.463700000000000003×10^11 years. In decimal form, this is approximately 446,370,000,000 years.
To find the half-life of uranium-238, we can calculate the difference between the half-life of uranium-238 and uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
The half-life of uranium-238 is stated to be "4.463×10^11 years longer" than uranium-235.
To find the half-life of uranium-238, we add the given duration to the half-life of uranium-235:
700,000,000 years + 4.463×10^11 years = 4.463×10^11 years
So, the half-life of uranium-238 is 4.463×10^11 years.
To find the half-life of uranium-238, we start with the given half-life of uranium-235 and add the length of time it takes uranium-238 to decay for an additional 4.463×10^11 years.
First, let's convert 4.463×10^11 years into decimal form. We do this by simply moving the decimal point 11 places to the right, resulting in the number 446,300,000,000.
Next, we add this value to the given half-life of uranium-235, which is 700,000,000 years:
700,000,000 + 446,300,000,000 = 447,000,000,000
Therefore, the half-life of uranium-238 is 447,000,000,000 years.