The expression that is an example of the Associative Property of Multiplication is:
(7×8)×9=7×(8×9)
This property states that the grouping of numbers being multiplied does not affect the result of the multiplication. In other words, you can change the grouping of numbers being multiplied and still get the same product.
To understand this property, let's break it down:
- The expression (7×8) represents multiplying 7 and 8 first, which equals 56.
- Then, multiplying the result (56) by 9 gives us the expression (56)×9.
- On the other hand, we can also multiply 8 and 9 first to get 72, and then multiply 7 by the result (72). This is represented by the expression 7×(8×9).
- Both calculations result in the same product, which is 504.
Therefore, (7×8)×9=7×(8×9) is an example of the Associative Property of Multiplication.