1. **State the problem:** Simplify the expression $8 \div 2(2+2)$. 2. **Evaluate the parentheses first:** According to the order of operations (PEMDAS/BODMAS), calculate inside the parentheses first. $$2+2=4$$ 3. **Rewrite the expression:** Now the expression is $8 \div 2(4)$. 4. **Understand multiplication and division precedence:** Multiplication and division have the same precedence and are evaluated from left to right. So, perform the division first, then multiplication. 5. **Perform the division:** $$8 \div 2 = 4$$ 6. **Multiply the result by 4:** $$4 \times 4 = 16$$ 7. **Final answer:** $$16$$ Therefore, the value of $8 \div 2(2+2)$ is $16$.