Let's evaluate the given expression step by step:

The expression is:
$3 \times 3 - 3 \div 3 + 3$

Step 1: Apply the order of operations (PEMDAS/BODMAS)

1. Parentheses: There are none.
2. Exponents: There are none.
3. Multiplication and Division (from left to right):
   • $3 \times 3 = 9$
   • $3 \div 3 = 1$

Now the expression becomes:
$9 - 1 + 3$

4. Addition and Subtraction (from left to right):
   • $9 - 1 = 8$
   • $8 + 3 = 11$

Final Answer:

$11$

---

Would you like a more detailed explanation or have other questions? 😊

Related Questions:

1. What happens if parentheses are added, like $(3 \times 3 - 3) \div (3 + 3)$?
2. Can you explain why multiplication and division take precedence over addition and subtraction?
3. How would the answer change if there was an exponent, like $3^2$, involved?
4. What is the difference between evaluating left-to-right and PEMDAS rules?
5. How would this expression look in fractional form?

Tip:

Always double-check the order of operations in complex expressions to avoid mistakes!