burger fun / Four Nines / Solver

Make 28 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 28. 28 cannot be made with + - × ÷ alone (the solver checked every expression) — you will need to stick 9s together (like 99) or use decimals (like .9).

Solutions using only + - × ÷

No expression made of four plain 9s and + - × ÷ reaches 28 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 9 + 9 + 9 / .9 = 28

Solutions with square roots, factorials, exponents

  • 9 × sqrt(9) + 9 / 9 = 28
  • .9 / .9 + 9 × sqrt(9) = 28
  • 9! / 9! + 9 × sqrt(9) = 28
  • (9 - 9)! + 9 × sqrt(9) = 28
  • (.9 - .9)! + 9 × sqrt(9) = 28

…and 94 more at this tier.

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

Make 27 with four 9s · Make 29 with four 9s

The Number Lab

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

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