Use the rule for order of operations to simplify the expression as much a \( 9+24 \div 6+6 \cdot 3= \)

To simplify the expression \( 9 + 24 \div 6 + 6 \cdot 3 \) using the order of operations (PEMDAS/BODMAS), follow these steps: **Order of Operations:** 1. **Parentheses/Brackets (P/B)** 2. **Exponents/Orders (E/O)** 3. **Multiplication and Division (from left to right) (MD)** 4. **Addition and Subtraction (from left to right) (AS)** Let's apply these rules step-by-step to the given expression: \[ 9 + 24 \div 6 + 6 \cdot 3 \] 1. **Division and Multiplication:** - First, perform the division \( 24 \div 6 \): \[ 24 \div 6 = 4 \] - Next, perform the multiplication \( 6 \cdot 3 \): \[ 6 \cdot 3 = 18 \] Now, the expression becomes: \[ 9 + 4 + 18 \] 2. **Addition:** - Add the numbers from left to right: \[ 9 + 4 = 13 \] \[ 13 + 18 = 31 \] **Final Simplified Result:** \[ 9 + 24 \div 6 + 6 \cdot 3 = 31 \]