Demonstrate how the product 18 · 2 can be rearranged using properties of arithmetic into the product 12 · 3, without using the product of 36

[Hint: Below is a demonstration of how 9 · 2 can be rearranged using properties of arithmetic to become 6 · 3
9 · 2 = (3 · 3) · 2 = 3 · (3 · 2) = 3 · 6 = 6 · 3]

To demonstrate how the product \(18 \cdot 2\) can be rearranged into \(12 \cdot 3\) using properties of arithmetic, we can follow a similar process as the example with \(9 \cdot 2\).

### Step-by-step rearrangement:
1. **Start with the product**:  
   \[
   18 \cdot 2
   \]
   
2. **Factor 18** into \(6 \cdot 3\):
   \[
   (6 \cdot 3) \cdot 2
   \]

3. **Use the associative property** to rearrange the parentheses:
   \[
   6 \cdot (3 \cdot 2)
   \]

4. **Multiply \(3 \cdot 2\) to get 6**:
   \[
   6 \cdot 6
   \]

5. **Now, factor 6 into \(3 \cdot 2\)**:
   \[
   (3 \cdot 2) \cdot 6
   \]

6. **Again

Demonstrate how the product 18 · 2 can be rearranged using properties of arithmetic into the product 12 · 3, without using the product of 36.

Learn how to rearrange the product 18 · 2 into 12 · 3 using the associative property of multiplication and factorization techniques. This problem demonstrates how arithmetic properties can transform expressions without directly calculating the final product, suitable for Grades 5-6.

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