Calculator is showing the result correctly which is 6. 
As per bodmas rule 2 + (2 * 2) = 6
Typing 2+2*2 in google also results in 6.

For more information - http://www.mathsisfun.com/operation-order-
bodmas.html

** Changed in: gcalctool (Ubuntu)
       Status: New => Invalid

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in Calculator 2+2*2 = 6 . This is a bug should be 8.
https://bugs.launchpad.net/bugs/500156
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