Question
Which property is represented by the equation \( (8 \times 5) \times 6.75=8 \times(5 \times 6.75) \) ? a. Identity Property of Addition b. Commutative Property of Multipliçation c. Distributive Property d. Associative Property of Multiplication
Ask by Christensen Boone. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation demonstrates the Associative Property of Multiplication.
Solution
The equation shows that the grouping of numbers in multiplication does not change the result. In other words, multiplying 8 by 5 first and then multiplying the result by 6.75 gives the same result as multiplying 5 by 6.75 first and then multiplying by 8. This is an example of the Associative Property of Multiplication.
Therefore, the answer is:
d. Associative Property of Multiplication.
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Simplify this solution The Deep Dive
The equation \( (8 \times 5) \times 6.75=8 \times(5 \times 6.75) \) illustrates that the grouping of numbers doesn't affect the product. This is a direct portrayal of how the order in which we multiply does not alter the result, showcasing a delightful characteristic of multiplication! When you think about it, using the Associative Property of Multiplication simplifies math! For instance, if you want to multiply larger numbers, you can group them in a way that makes calculations easier—like multiplying smaller numbers first before multiplying with the larger product! It’s a handy tool for both students and seasoned mathematicians!
