Wednesday, 3 April 2013

mathematics - 1 2 3 4 5 6 7 8 9 = 100


The sequence of numbers 1 2 3 4 5 6 7 8 9 has the property that you can insert mathematical operators in between the numbers from 1 to 9 and make the expression evaluate to 100. For example:


1+2+3+4+5+6+7+8×9=100


There are possibly hundreds of solutions to this problem, involving different varieties of operators. What is the expression with the fewest number of operators inserted (out of the set +,,×,÷ and maybe and !) that evaluates to 100?




Answer



I believe that this is the smallest:



1234567+89=100



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