Math

Half-Life Calculator

Use OmniCalc's half-life calculator to estimate how much remains after repeated halving over time.

Half-life calculator

Estimate what remains after repeated halving.

Enter an initial amount, a half-life, and elapsed time to estimate the remaining amount, decay, and percent left.

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Why this result matters

What this calculator helps you answer

A distinct approved math/science utility that extends the growth-and-decay lane into exponential decay problems with broad classroom and practical relevance. Use the tool above to enter a few clear inputs and get a practical answer you can use right away.

This half-life calculator helps students and technical users estimate how much material remains after exponential decay. Enter an initial amount, a half-life, and elapsed time to see the remaining amount, how much decayed, and the percent left without doing the exponent math by hand.

Formula and method

How the calculation works

The calculator uses exponential half-life decay: remaining amount = initial amount × (1/2)^(elapsed time / half-life).

Example

Example half-life calculation

If the initial amount is 100, the half-life is 5, and the elapsed time is 15, the remaining amount is 12.5.

FAQ

Common questions about this calculator.

Short answers to the questions people often ask before or after using the tool.

Question

What is half-life?

Half-life is the time it takes for an amount to drop to half of its current value.

Question

Can half-life be used outside radioactive decay?

Yes. The same repeated-halving idea is useful for medication clearance, signal decay, and other exponential decay problems.

Question

Why does the amount never reach zero exactly?

Exponential decay keeps halving the remaining amount, so it gets smaller and smaller without mathematically hitting zero in the formula.

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