Math / CALCULATOR

Exponential Retention Illustration

Exponential Retention Illustration: explore an explicit model with input checks, a formula and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

%
Enter initial retained amount in %.
days
Enter elapsed time in days.
days
Enter assumed retention half-life in days.

Formula

retained=initial × 2^(−time/half-life).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Illustrative decay curve only. The half-life is supplied, not a validated prediction of anyone’s memory. Relearning and individual differences are excluded.

Example Calculation

Example inputs
  • Initial retained amount: 100 %
  • Elapsed time: 10 days
  • Assumed retention half-life: 10 days

An assumed ten-day half-life turns an initial 100% into 50% after ten days.

Frequently asked questions

How do I use this calculator?

Enter initial retained amount, elapsed time, assumed retention half-life. The result updates automatically. Use Reset to restore the example values.

What method does it use?

retained=initial × 2^(−time/half-life).. Illustrative decay curve only. The half-life is supplied, not a validated prediction of anyone’s memory. Relearning and individual differences are excluded.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.