Question

The Associative Property Quick Check Which of the following expressions could you rewrite using the Associative Property?

Answer 1

The Associative Property applies to both addition and multiplication, stating that the way in which numbers are grouped does not change their sum or product. Specifically, for addition, it states that (a + b) + c = a + (b + c), and for multiplication, it states that (a * b) * c = a * (b * c).

Here are examples of expressions you could rewrite using the Associative Property:

1. For addition:
- \( (3 + 5) + 2 \) can be rewritten as \( 3 + (5 + 2) \).
- \( (x + y) + z \) can be rewritten as \( x + (y + z) \).

2. For multiplication:
- \( (2 * 4) * 3 \) can be rewritten as \( 2 * (4 * 3) \).
- \( (a * b) * c \) can be rewritten as \( a * (b * c) \).

If you provide specific expressions, I can help you determine which ones can be rewritten using the Associative Property.