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)
Responses
4.4637×1011
4.4637 times 10 superscript 11 baseline
516,300,000,000
516,300,000,000
447,000,000,000
447,000,000,000
11,463,000,000
11,463,000,000
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
The additional time for uranium-238 is 4.463 × 10^11 years.
Adding these two values gives us:
700,000,000 + 4.463 × 10^11 = 516,300,000,000
Therefore, the half-life of uranium-238 is 516,300,000,000 years.
To find the half-life of uranium-238, we need to subtract the half-life of uranium-235 from the given value.
Given:
Half-life of uranium-235 = 700,000,000 years
We are told that the half-life of uranium-238 is 4.463×10^11 years longer than the half-life of uranium-235.
So, we can calculate the half-life of uranium-238 as:
700,000,000 + 4.463×10^11 = 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 extra 4.463×10^11 years to the half-life of uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
To add the extra 4.463×10^11 years, we can use scientific notation addition:
(700,000,000) + (4.463×10^11)
To add numbers in scientific notation, we need to make sure the exponents are the same. Here, we can convert 700,000,000 to scientific notation by moving the decimal point after the 7, which gives us:
7.00×10^8
Now, we can add the numbers:
(7.00×10^8) + (4.463×10^11)
To add them, we need to adjust the exponents to make them the same. In this case, we can convert 7.00×10^8 to 70.0×10^6 by moving the decimal point two places to the left:
(70.0×10^6) + (4.463×10^11)
Now, both exponents are 11, so we can add the coefficients:
70.0 + 4.463 = 74.463
Finally, we write the result in scientific notation:
7.4463×10^1
So, the half-life of uranium-238 is approximately 7.4463 years in decimal form.