To solve the expression \(3 \times 3 - 3 \div 3 + 3\), we need to follow the order of operations (PEMDAS/BODMAS).
- Multiplication and Division from left to right:
- Calculate \(3 \times 3 = 9\)
- Calculate \(- 3 \div 3 = -1\)
Thus, the expression now looks like: \[ 9 - 1 + 3 \]
- Addition and Subtraction from left to right:
- Calculate \(9 - 1 = 8\)
- Then, \(8 + 3 = 11\)
So, the final result is: \[ \boxed{11} \]