To solve the expression \( 3 \times 3 - 3 \div 3 + 3 \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
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First, let's perform the multiplication and division from left to right:
- \( 3 \times 3 = 9 \)
- \( 3 \div 3 = 1 \)
Now the expression becomes: \[ 9 - 1 + 3 \]
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Next, we'll perform the addition and subtraction from left to right:
- \( 9 - 1 = 8 \)
- \( 8 + 3 = 11 \)
Thus, the final result of the expression \( 3 \times 3 - 3 \div 3 + 3 \) is \( 11 \).