The expression \(12 \div 4 \times 9\) can be evaluated by following the order of operations, which is typically PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. First, perform the division:
   \[
   12 \div 4 = 3
   \]

2. Next, multiply the result by 9:
   \[
   3 \times 9 = 27
   \]

So, \(12 \div 4 \times 9 = 27\).

Would you like more details or have any questions?

Here are five related questions for further exploration:
1. What is the value of \(12 \times 4 \div 9\)?
2. How would the expression change if you added parentheses like \(12 \div (4 \times 9)\)?
3. Can you solve the expression \(12 \times 9 \div 4\)?
4. How does the order of operations affect the result of \(12 + 4 \times 9\)?
5. What happens if you reverse the operations, calculating \(9 \times 4 \div 12\)?

**Tip:** Always follow the order of operations to ensure you get the correct answer in arithmetic expressions.

Learn how to evaluate the arithmetic expression 12 ÷ 4 x 9 by following the order of operations (PEMDAS). This problem illustrates key concepts in arithmetic such as division, multiplication, and understanding the correct sequence of operations. Suitable for students in Grades 4-6.

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