1. The problem is to evaluate the expression $10 \div 2 (4 + 4)$. 2. According to the order of operations (PEMDAS/BODMAS), first solve the parentheses. 3. Calculate the sum inside the parentheses: $4 + 4 = 8$. 4. Now the expression becomes $10 \div 2 \times 8$. 5. Division and multiplication have the same precedence, so we evaluate from left to right. 6. First, divide: $10 \div 2 = 5$. 7. Then multiply: $5 \times 8 = 40$. 8. Therefore, the value of the expression is $40$.