Answer the questions below about Line 1 and Line 2 shown below.
left parenthesis, 5, dot, 2, right parenthesis, dot, 4
(5⋅2)⋅4
Line 1
5, dot, left parenthesis, 2, dot, 4, right parenthesis
5⋅(2⋅4)
Line 2
Answer
Attempt 1 out of 2

The expression was rewritten using the 
.
left parenthesis, 5, dot, 2, right parenthesis, dot, 4(5⋅2)⋅4 equals 
 dot, 4⋅4 which equals 
.
5, dot, left parenthesis, 2, dot, 4, right parenthesis5⋅(2⋅4) equals 5, dot5⋅ 
 which equals 
.

The problem involves understanding how to rewrite and evaluate expressions based on the **Associative Property of Multiplication**, which states that the grouping of numbers does not affect the product.

Let's answer the questions step by step:

1. **The expression was rewritten using the** Associative Property of Multiplication. This property allows us to change the grouping of factors in a multiplication expression without changing the result.

2. Now, let's calculate the expression from **Line 1**:

   \[
   (5 \cdot 2) \cdot 4 = 10 \cdot 4 = 40
   \]

   So, \( (5 \cdot 2) \cdot 4 = 40 \).

3. Next, calculate the expression from **Line 2**:

   \[
   5 \cdot (2 \cdot 4) = 5 \cdot 8 = 40
   \]

   So, \( 5 \cdot (2 \cdot 4) = 40 \).

Thus, both expressions are equivalent, and the final answer is 40.

### Here's the filled-in solution:

The expression was rewritten using the **Associative Property of Multiplication**.  
\[
(5 \cdot 2) \cdot 4 = 10 \cdot 4 = 40
\]
\[
5 \cdot (2 \cdot 4) = 5 \cdot 8 = 40
\]

Would you like further details or have any questions?

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Here are 5 related questions:
1. How does the **Associative Property** differ from the **Commutative Property**?
2. Can you explain the **Distributive Property** with an example?
3. What happens if you apply the **Associative Property** to division instead of multiplication?
4. How can you use the **Associative Property** to simplify complex calculations?
5. Are there any other operations besides multiplication where the **Associative Property** applies?

### Tip:
When solving expressions, always remember that the **order of operations** (PEMDAS) guides the sequence: Parentheses first, then Exponents, followed by Multiplication/Division, and finally Addition/Subtraction.

Answer the questions below about Line 1 and Line 2 shown below. (5⋅2)⋅4 Line 1: 5⋅(2⋅4) Line 2

Explore how the Associative Property of Multiplication allows you to simplify expressions like (5⋅2)⋅4 and 5⋅(2⋅4). Learn the step-by-step process of rewriting and solving these expressions, making it easier for students in Grades 5-7 to understand this fundamental math concept.

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