# Representation of numbers with three 4's

 1 (√4 + √4)/4 = (√4×√4)/4 2 (4 + 4)/4 3 4 - 4/4 4 4 + 4 - 4 = 4×4/4 5 4 + 4/4 6 4 + 4/√4 7 4!! - 4/4 8 4!! + 4 - 4 9 4!! + 4/4 10 (√4 + √4)/.4 = 4!! + 4/√4 11 44/4 12 4 + 4 + 4 = 4×4 - 4 13 4/.(4) + 4 14 4/.4 + 4 = 4×4 - √4 15 4×4 - [√√4] 16 (√4 + √4)×4 = 4!! + 4 + 4 = 4! - 4 - 4 17 4/.(4) + 4!! 18 4×4 + √4 19 [4×4!/√4!] 20 4!! + 4!! + 4 = 4×4 + 4 21 4! - 4 + [√√4] 22 4! - 4/√4 23 4! - 4/4 24 4! + 4 - 4 = 4!! + 4!! + 4!! 25 4! + 4/4 26 4! + 4/√4 27 4! + 4 - [√√4] 28 4! + √4×4 29 4! + 4 + [√√4] 30 4! + 4 + √4 31 4!!×4 - [√√4](1) 32 4! + 4 + 4 33 4!!×4 + [√√4](1) = 4! + 4/.(4) 34 4! + 4/.4

(1) By Andre Gustavo dos Santos from Brasil

• Funny Arithmetic
• A single formula to express all numbers
• Any Integer with Three 2s
• Representation of numbers with a single 4. The rules and the possibilities
• One 4, a story
• Three 3's
• Representation of numbers with three 5's
• Representation of numbers with four 3's
• Representation of numbers with four 4's
• Representation of numbers with four 5's
• A problem of representing 4 by four identical digits
• A problem of representing 6 by three identical digits
• A 9's Fan's Clock
• Make an Identity
• Fun with numbers: place plus/minus signs between the digits
• 24 with One Digit
• Representation of 3 with Three Equal Digits

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