Is A paleontologist discovers a fossilized bone with 6.25% of its original carbon-14 remaining. If the half-life of carbon-14 is 5730 years, how many years ago did the organism die?

In a quiet corner of scientific discovery, researchers are turning their attention to a striking case: a fossilized bone containing just 6.25% of its original carbon-14. This level of decay sparks widespread curiosity, particularly as scientists estimate the organism’s death long before recorded history. With modern tools, we now grasp how a single fossil holds clues to timelines stretching back tens of thousands of years—through a method trusted by archaeologists and researchers across the U.S.

The key to understanding this lies in the science of carbon-14 dating, a technique that measures the steady decay of this radioactive isotope. Carbon-14 acts like a natural clock, gradually reducing over time through predictable half-lives. When an organism stops exchanging carbon with the environment—say, after death—this decay continues at a consistent rate. Given a half-life of 5730 years, each half-life reduces the remaining carbon-14 by half.

Understanding the Context

Calculating the Time from 6.25% Remaining

With 6.25% of original carbon-14 remaining, this corresponds to four half-lives. Since each half-life spans 5730 years, the total duration is four times 5730:
4 × 5730