To solve the expression \( 4 + 8 \div 2 \times (6 - 3) \), we need to follow the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
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Parentheses: Calculate \( (6 - 3) \): \[ 6 - 3 = 3 \] Now the expression is: \[ 4 + 8 \div 2 \times 3 \]
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Division and Multiplication (from left to right): First, perform the division \( 8 \div 2 \): \[ 8 \div 2 = 4 \] Now the expression is: \[ 4 + 4 \times 3 \]
Next, perform the multiplication \( 4 \times 3 \): \[ 4 \times 3 = 12 \] Now the expression is: \[ 4 + 12 \]
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Addition: Now, perform the addition: \[ 4 + 12 = 16 \]
So, the final result is: \[ \boxed{16} \]