The expression \( 6 \div 2(1 + 2) \) can be evaluated by following the order of operations (PEMDAS/BODMAS).

1. **Parentheses first:** 
   \[
   1 + 2 = 3
   \]
   Now the expression becomes:
   \[
   6 \div 2(3)
   \]

2. **Multiplication and Division from left to right:**
   - Division comes first:
   \[
   6 \div 2 = 3
   \]
   - Then multiplication:
   \[
   3 \times 3 = 9
   \]

So, the value of the expression is \( 9 \).

Would you like any more details or have any questions?

Here are 8 related questions you might find interesting:

1. How does the order of operations (PEMDAS/BODMAS) work in more complex expressions?
2. What would happen if the expression was written as \( 6 \div (2(1 + 2)) \)?
3. How do different calculators handle expressions like \( 6 \div 2(1 + 2) \)?
4. What is the importance of parentheses in mathematical expressions?
5. How does distribution work in algebraic expressions?
6. Can you simplify complex expressions using the order of operations?
7. What is the difference between division and multiplication in terms of precedence?
8. How would this expression be evaluated in a programming language?

**Tip:** Always be careful with the placement of parentheses—they can drastically change the result of an expression!

Explore how to solve the mathematical expression 6 ÷ 2(1 + 2) using the order of operations (PEMDAS/BODMAS). Learn step-by-step with detailed explanations and examples. Suitable for Grades 7-9.

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