You may put as many parentheses as possible to the below equation:
$1\div 2\div 3\div 4\div 5\div 6\div 7\div 8\div 9$
What is the maximum result you can have?
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Biggest I've found:
$1\div (2\div 3\div 4\div 5\div 6\div 7\div 8\div 9)$ $=$ $90720$
I believe this is also the largest
answered Dec 13 '16 at 16:50
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Making use of the lateral-thinking tag:
1÷(2÷3÷4÷5÷6÷7÷8÷9 )( () ) == infinite
___________times-----^_^----zero
By (one) definition, the maximum.
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I'll make use of the lateral-thinking tag by saying
"maximum result" means maximum digits. In which case (1÷2)÷3÷(4÷5÷6÷7÷8)÷9 = 7.777777777... repeating infinitely
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Since Beastly Gerbil clearly has the mathematically correct answer I'll use the lateral-thinking tag to get 14 instead.
1÷(2÷(3÷(4÷(5÷(6÷(7÷(8÷9)))))))
The maximum number of meaningful parenthesis you can add is 14.
