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MotionLab
How much of something remains after repeated halvings — radioactive decay, drug elimination, and more.
Exponential decay approaches zero but mathematically never quite reaches it — after 10 half-lives, less than 0.1% of the original amount remains, which is why '10 half-lives' is often used as a practical 'essentially gone' benchmark.
The same math describes drug elimination from the bloodstream, capacitor discharge, and even some population decline models — any process where the rate of decrease is proportional to the current amount follows this pattern.
Remaining amount
27.041
N = N₀ × (0.5)^(t / half-life)
What you entered
Number of half-lives elapsed
10 ÷ 5.3= 1.8868N = N₀ × (0.5)^(t/half-life)
100 × 0.5^1.8868= 27.0408Result
Remaining amount: 27.041
After 10 time units, 27.041 of the original 100 remains.