Question

Use the associative property to create equivalent expressions to a b (c d). Which statements are true? Check all that apply. 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 statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.

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 (a+ b) + c + d is an equivalent expression.

Given

Use the associative property to create equivalent expressions to a + b + (c + d).

Associative property;

Associative property explains that the addition and multiplication of numbers are possible regardless of how they are grouped.

The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.

• 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 (a+ b) + c + d is an equivalent expression.

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