Which of the following is an example of the associative property of multiplication?

7 · (3 · 5) = (7 · 3) · 5
7 · (3 + 5) = 21 + 35
7 · (3 · 5) = 7 · (5 · 3)
7 ·  = 1/7=1

The associative property of multiplication states that when three or more numbers are multiplied, the grouping (or association) of the numbers does not affect the product. In other words:

\[
(a \cdot b) \cdot c = a \cdot (b \cdot c)
\]

Let's analyze the options:

1. **\( 7 \cdot (3 \cdot 5) = (7 \cdot 3) \cdot 5 \)**:  
   This is an example of the associative property. The grouping of the numbers changes, but the product remains the same.

2. **\( 7 \cdot (3 + 5) = 21 + 35 \)**:  
   This is an example of the distributive property, not the associative property.

3. **\( 7 \cdot (3 \cdot 5) = 7 \cdot (5 \cdot 3) \)**:  
   This is an example of the commutative property, which states that the order of multiplication does not matter, but it is not the associative property.

4. **\( 7 \cdot 1/7 = 1 \)**:  
   This demonstrates the multiplicative inverse property, where multiplying a number by its reciprocal results in 1, not the associative property.

**Correct Answer:**  
The correct example of the associative property of multiplication is:

**\( 7 \cdot (3 \cdot 5) = (7 \cdot 3) \cdot 5 \)**

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Would you like more details or have any questions? 

Here are some related questions:
1. What is an example of the commutative property of multiplication?
2. How does the associative property differ from the distributive property?
3. Provide an example of the associative property using addition.
4. Does the associative property apply to subtraction?
5. Can you demonstrate the associative property with fractions?

**Tip:** Remember, the associative property is all about grouping—how you group the numbers doesn’t change the result!

Explore the associative property of multiplication with examples and explanations. Learn how grouping numbers in multiplication does not affect the product, illustrated with clear examples like 7 multiplied by the product of 3 and 5 equals the product of 7 and the product of 3 and 5.

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