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
4.4637×10^11
4.4637 times 10 superscript 11 baseline
11,463,000,000
11,463,000,000
516,300,000,000
516,300,000,000
447,000,000,000
To find the half-life of uranium-238, we can start by converting any scientific notation to a decimal.
The half-life of uranium-235 is 700,000,000 (7 × 10^8) years. The half-life of uranium-238 is said to be 4.463 × 10^11 years longer than that of uranium-235. So let's calculate the half-life of uranium-238:
Half-life of uranium-238 = Half-life of uranium-235 + Additional years
Half-life of uranium-238 = 700,000,000 years + 4.463 × 10^11 years
Convert 4.463 × 10^11 to a decimal:
4.463 × 10^11 = 446,300,000,000
Now sum these numbers:
Half-life of uranium-238 = 700,000,000 + 446,300,000,000
Half-life of uranium-238 = 447,000,000,000 years
Therefore, the half-life of uranium-238 is 447,000,000,000 years (in decimal form).