To simplify the expression \( (1.1 - 0.3) \div 8 + 4 \times 3 \), we 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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Parentheses: First, we simplify the expression inside the parentheses: \[ 1.1 - 0.3 = 0.8 \] So the expression now looks like: \[ 0.8 \div 8 + 4 \times 3 \]
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Multiplication and Division: Next, we perform the division and multiplication from left to right:
- First, the division: \[ 0.8 \div 8 = 0.1 \]
- Next, the multiplication: \[ 4 \times 3 = 12 \] Now our expression looks like: \[ 0.1 + 12 \]
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Addition: Finally, we perform the addition: \[ 0.1 + 12 = 12.1 \]
Therefore, the simplified expression is \(\boxed{12.1}\).
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