burger fun / Four Nines / Solver

Make 99 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 99. 99 can be made with nothing but four 9s, + - × ÷, and parentheses.

Solutions using only + - × ÷

  • 9 × 9 + 9 + 9 = 99
  • 9 + 9 + 9 × 9 = 99

Solutions with concatenation and decimals

  • 9 × 99 / 9 = 99
  • 9 + 99 - 9 = 99
  • 9 - 9 + 99 = 99
  • 9 / 9 × 99 = 99
  • 99.9 - .9 = 99

…and 22 more at this tier.

Solutions with square roots, factorials, exponents

  • 9! × 99 / 9! = 99
  • 9! + 99 - 9! = 99
  • 9! - 9! + 99 = 99
  • 9! / 9! × 99 = 99
  • (9 - 9)! × 99 = 99

…and 62 more at this tier.

96 distinct solutions found in total, after removing trivial rearrangements.

How 99 compares

99 has 96 distinct solutions across all three tiers — #33 most plentiful of all 100 targets. 2 of them use nothing but + - × ÷. Next door, 98 has 14 solutions and 100 has 33 solutions.

If 99 went down easily, make 98 with four 9s — 14 solutions, the nearest step up in scarcity.

Make 98 with four 9s · Make 100 with four 9s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

Got what you came for?

Stay for something you did not search for.

  • Four Nines — the daily puzzle: four 9s, one target, new at midnight
  • The Reflex Lab — nine ways to measure your hands and memory, none of them polite about it
  • hand me something weird — a random pick from the directory. Could be the horse.

Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.