To simplify the expression \((1.1 - 0.3) \div 8 + 4 \times 3\), we will 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)).
-
Parentheses: First, we perform the operation inside the parentheses: \[ 1.1 - 0.3 = 0.8 \] Now the expression is: \[ (0.8) \div 8 + 4 \times 3 \]
-
Division and Multiplication: Next, we handle the division and multiplication from left to right.
- First, perform the division: \[ 0.8 \div 8 = 0.1 \]
- Next, perform the multiplication: \[ 4 \times 3 = 12 \] Now the expression simplifies to: \[ 0.1 + 12 \]
-
Addition: Finally, we perform the addition: \[ 0.1 + 12 = 12.1 \]
Thus, the simplified expression is: \[ \boxed{12.1} \]
1 answer