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The image shows a problem requiring justification for the steps to simplify the expression \( 25 \cdot 36 \cdot 4 \). The steps are given, and the goal is to explain them. Here's how you can justify each step:

1. **Original Expression:**
   \[
   25 \cdot 36 \cdot 4
   \]
   This is the given expression.

2. **Step a:**
   \[
   25 \cdot 4 \cdot 36
   \]
   **Justification for Step a**: This step uses the **commutative property of multiplication**, which allows you to rearrange the order of factors.

3. **Step b:**
   \[
   (25 \cdot 4) \cdot 36
   \]
   **Justification for Step b**: This step uses the **associative property of multiplication**, which allows you to group factors in different ways without changing the product.

4. **Step c:**
   \[
   100 \cdot 36
   \]
   **Justification for Step c**: In this step, the multiplication \( 25 \cdot 4 = 100 \) is performed.

5. **Step d:**
   \[
   3600
   \]
   **Justification for Step d**: Finally, the multiplication \( 100 \cdot 36 = 3600 \) is calculated to arrive at the final result.

Would you like more details on any of the properties, or do you have any questions?

Here are some related questions you might find useful:
1. What is the commutative property of multiplication?
2. How does the associative property simplify multiplication problems?
3. Can these properties be applied to addition?
4. What are some other properties of multiplication?
5. Why is it beneficial to group numbers when multiplying?

**Tip:** Always look for easier groupings when multiplying several numbers to simplify calculations quickly.

Justify the steps taken to simplify 25 * 36 * 4.

Learn how to simplify the expression 25 * 36 * 4 by applying the commutative and associative properties of multiplication. Follow a detailed step-by-step explanation, suitable for students in Grades 5-7.

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