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Four fours (Posted on 2018-02-14) Difficulty: 3 of 5
Arrange 4 fours into various expressions to generate all integer numbers, from 1 to 112 inclusive like:

1 = 44 ÷ 44
2=sqrt 4 - (4 - 4) x 4
3 = (4 + 4 + 4) ÷ 4
4 = 4 + 4 × (4 - 4)
... ...
7= 44/4-4
... ...
19=4!-4-4/4
... ...
100=4*4!+sqrt(4*4)
etc

Allow use of concatenation, +, -, x, /, sqrt, exponentation, factorial,decimal fractions, overline & brackets.


Source: Inspired by Martin Gardner statement.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Contribution | Comment 3 of 6 |
71=(4*4-.sqrt 4.)/.sqr4. = (16-2/9)*9/2=142/2=71
73=(4*4+.sqrt 4.)/.sqr4. = (16+2/9)*9/2=146/2=73

Edited on February 14, 2018, 5:11 pm
  Posted by armando on 2018-02-14 16:49:24

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