Glencoe Math: Course 1, Volume 2
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Glencoe Math: Course 1, Volume 2 View details
5. Algebra: Properties
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Exercise 2 Page 477

Changing the grouping of the terms does not change the product.

Equivalent: Yes
Property: Associative Property

Practice makes perfect

We are given two expressions and we want to determine whether they are equivalent. We should first identify the operation being performed. (3* 6)* 9 and 3* (6 * 9)In this case, the terms are being multiplied. The factors are the same, but they are grouped differently. Let's consider the Associative Property.

Associative Property

The way in which three numbers are grouped when they are added or multiplied does not change their sum or product.

According to the Associative Property the expressions are equivalent. We can check our statement by calculating both products.

(3* 6)* 9 ? = 3* (6* 9)
18* 9 ? = 3 * 54
162 = 162 ✓