Write an expression using all digits (0-9) once each, to achieve the closest value to pi. The digits must be in the order 1, 2, 3, 4, ...8, 9, 0. You may also use as many parentheses, +, -, /, and *, as you wish, but only these symbols.
As an example: 123/45 - 6/7 + 8/9 + 0 = 2.765079... gives a difference of approximately 0.376.
You may post the difference or the approximation you achieve in the subject of your comment.