Evaluate the following expressi \[ [1+(10+30) \div 8] \times 2 \]

To evaluate the expression: \[ [1 + (10 + 30) \div 8] \times 2 \] we'll 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)). **Step-by-Step Evaluation:** 1. **Parentheses First:** Evaluate the innermost parentheses: \[ 10 + 30 = 40 \] Now, the expression becomes: \[ [1 + 40 \div 8] \times 2 \] 2. **Division Next:** Perform the division inside the brackets: \[ 40 \div 8 = 5 \] The expression simplifies to: \[ [1 + 5] \times 2 \] 3. **Addition Inside the Brackets:** Add the numbers inside the brackets: \[ 1 + 5 = 6 \] Now, the expression is: \[ 6 \times 2 \] 4. **Final Multiplication:** Multiply the remaining numbers: \[ 6 \times 2 = 12 \] **Conclusion:** \[ [1 + (10 + 30) \div 8] \times 2 = 12 \]