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State the associative property of multip...

State the associative property of multiplication for integers taking a, b, c as any three integers.

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To state the associative property of multiplication for integers, we can follow these steps: ### Step-by-Step Solution: 1. **Definition of Associative Property**: The associative property of multiplication states that when multiplying three or more integers, the way in which the integers are grouped does not change the product. 2. **Let’s Define the Integers**: Let \( a, b, c \) be any three integers. 3. **Grouping the Integers**: We can group the integers in two different ways: - First grouping: \( (a \times b) \times c \) - Second grouping: \( a \times (b \times c) \) 4. **Applying the Property**: According to the associative property: \[ (a \times b) \times c = a \times (b \times c) \] 5. **Conclusion**: This means that regardless of how we group the integers \( a, b, \) and \( c \), the result of the multiplication will remain the same. Therefore, we can conclude that multiplication of integers is associative. ### Final Statement: The associative property of multiplication for integers states that for any integers \( a, b, c \): \[ (a \times b) \times c = a \times (b \times c) \]
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