1. **State the problem:** Evaluate the expression $8 \div 2(2 + 2)$. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses first, then multiplication and division from left to right. 3. **Calculate inside the parentheses:** $$2 + 2 = 4$$ So the expression becomes: $$8 \div 2(4)$$ 4. **Rewrite multiplication explicitly:** $$8 \div 2 \times 4$$ 5. **Perform division and multiplication from left to right:** First, divide: $$\frac{8}{2} \times 4$$ Show canceling common factors: $$\cancel{\frac{8}{2}} \times 4 = 4 \times 4$$ 6. **Multiply:** $$4 \times 4 = 16$$ 7. **Final answer:** $$16$$