Mind-Bending Math & GamesExponential Growth

The Rule of 72

Divide 72 by an interest rate to find how long money takes to double

Your savings earn a little interest each year. Could you work out in your head when they'll double?

You'll find out

  • The one number that does the math
  • How close a mental shortcut gets
  • What it says about prices and debts

Why it matters

Savings, prices, debts and towns all grow by a percentage, and one division tells you when they double.

About 3 min6 interactive slides · 5 questionsLesson 183 · Zone 21

Play this lesson

Free to play in your browser or on iPhone

More in this zone

  1. 181Game TheoryThe Prisoner's DilemmaTwo people acting smart can both end up worse off
  2. 182Structural EngineeringThe Safety FactorEngineers build things several times stronger than needed
  3. 184ProbabilityWhy the Bus Always Takes LongerYou're more likely to arrive during a long gap
  4. 185Sound PerceptionHow MP3 Throws Sound AwayIt deletes sounds your ear can't hear anyway
  5. 186RelativityThe Universe's Speed LimitNothing can outrun light, and that changes time itself
  6. 187RelativityEinstein in Your PocketYour phone's map would be wrong by kilometers without relativity
  7. 188Computing HistoryThe Mother of All DemosIn 1968 one man showed the mouse, hypertext and video calls
  8. 189AI LiteracyThe Lawyer Who Cited Fake CasesIn 2023 a lawyer filed six court cases that an AI had invented