Question

Use the associative property to create equivalent expressions to a b (c d). Which statements are true? Select four options. The associative property allows us to change the grouping of terms that are added together. When changing the grouping, the order of the terms stays the same; only the parentheses change position. The expression a (b c) d is an equivalent expression. The expression ab(cd) is an equivalent expression. The expression (a b) c d is an equivalent expression. The expression a b(c d) is an equivalent expression.

Answer 1

The correct equivalent expressions to a b (c d) using the associative property are a (b c) d, (a b) c d, a b(c d), and a b (cd).

Step-by-step explanation:

The correct statements using the associative property to create equivalent expressions to a b (c d) are:

1. The expression a (b c) d is an equivalent expression.
2. The expression (a b) c d is an equivalent expression.
3. The expression a b(c d) is an equivalent expression.
4. The expression a b (cd) is an equivalent expression.

The associative property allows us to change the grouping of terms that are multiplied together. While changing the grouping, the order of the terms stays the same, only the parentheses change position.