To solve the expression $8 \div 2(2 + 2)$, let's go step by step:

1. Parentheses first: $2 + 2 = 4$ So, the expression becomes: $8 \div 2(4)$

2. Implied multiplication: The expression now reads: $8 \div 2 \times 4$ According to the order of operations (PEMDAS/BODMAS), we handle multiplication and division from left to right.

3. Division and multiplication from left to right: First, divide 8 by 2: $8 \div 2 = 4$ Then multiply the result by 4: $4 \times 4 = 16$

So, the final answer is $16$.

Would you like more details on any step?

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Here are five related questions to explore:

1. How does the order of operations work in different types of equations?
2. What are common misconceptions about multiplication and division?
3. How do parentheses change the outcome of expressions?
4. Can this problem be interpreted differently based on notation?
5. How does this type of expression relate to algebra?

Tip: Always follow the left-to-right rule for division and multiplication, after resolving parentheses.