1. **Evaluate the expression** $8 + 8 \div 8 + 8$. - According to order of operations (PEMDAS), division comes before addition. - Calculate $8 \div 8 = 1$. - Substitute back: $8 + 1 + 8$. - Add: $8 + 1 = 9$, then $9 + 8 = 17$. 2. **Evaluate the expression** $10 - 2 + 3 \cdot 2$. - Multiplication before addition and subtraction. - Calculate $3 \cdot 2 = 6$. - Substitute back: $10 - 2 + 6$. - Perform subtraction and addition from left to right: $10 - 2 = 8$, then $8 + 6 = 14$. 3. **Evaluate the expression** $6^2 \div 6 \cdot (5 - 3)$. - Calculate exponent: $6^2 = 36$. - Calculate parentheses: $5 - 3 = 2$. - Substitute back: $36 \div 6 \cdot 2$. - Division and multiplication have the same precedence, so evaluate left to right. - Calculate $36 \div 6 = 6$. - Then $6 \cdot 2 = 12$. 4. **Evaluate the expression** $17 - 3^2 + 8 \div (5 - 1)$. - Calculate exponent: $3^2 = 9$. - Calculate parentheses: $5 - 1 = 4$. - Substitute back: $17 - 9 + 8 \div 4$. - Calculate division: $8 \div 4 = 2$. - Substitute back: $17 - 9 + 2$. - Perform subtraction and addition from left to right: $17 - 9 = 8$, then $8 + 2 = 10$. **Final answers:** - $8 + 8 \div 8 + 8 = 17$ - $10 - 2 + 3 \cdot 2 = 14$ - $6^2 \div 6 \cdot (5 - 3) = 12$ - $17 - 3^2 + 8 \div (5 - 1) = 10$