The order of operations, often remembered by the acronym PEMDAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
For the expression \( 12 ÷ 3 + 4 - 2 \), we will follow these steps:
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Division: Perform the division first. \[ 12 ÷ 3 = 4 \]
Now the expression simplifies to: \[ 4 + 4 - 2 \]
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Addition: Next, perform the addition. \[ 4 + 4 = 8 \]
Now the expression simplifies to: \[ 8 - 2 \]
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Subtraction: Finally, perform the subtraction. \[ 8 - 2 = 6 \]
Thus, the result of the expression \( 12 ÷ 3 + 4 - 2 \) is \( 6 \).