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 equivalent expression for the expression is [a+b+(c+d)] are [a+(b+c)+d] and [(a+b)+c+d].

What is an Associative property?

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

A+(B+C) = (A+B)+C

As the expression that is given to us is a+b+(c+d), therefore, using the associative property the equivalent expression can be written as,

$a+b+(c+d)\\\\= a+(b+c)+d\\\\=(a+b)+c+d$

Thus, the correct options are:

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

Hence, the equivalent expression for the expression is [a+b+(c+d)] are [a+(b+c)+d] and [(a+b)+c+d].

Learn more about Associative Property:

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Answer 2

Answer:

A, B, C, E.

Step-by-step explanation:

Hope this helps!