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:
123−45−67+89=100
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