According to the Associative Property of Addition, which of the following is equivalent to the expression (b+c)+a+d

Question

?(1 point)
Responses

b+(c+a)+d
b plus open paren c plus A close paren plus d - no response given

d+a+(b+c)
d plus A plus open paren b plus c close paren - no response given

(b+c)+d+a
open paren b plus c close paren plus d plus A - no response given

d+(b+c)+a

Answer 1

According to the Associative Property of Addition, the way numbers are grouped does not change the sum. This means that the expressions can be rearranged without altering their value.

The original expression is \((b+c)+a+d\). Let's evaluate the options:

1. b+(c+a)+d: Here, \(c\) and \(a\) are grouped together, but the associative property allows for a different grouping. This is a valid rearrangement.

2. d+a+(b+c): Here, \(d\) and \(a\) are grouped together. This is also a valid rearrangement.

3. (b+c)+d+a: In this case, \(d\) and \(a\) are added after \(b+c\), which is a valid arrangement according to the associative property.

4. d+(b+c)+a: This expression groups \(d\) with \(b+c\) and then adds \(a\). This arrangement is also valid.

All the options given are valid expressions equivalent to \((b+c)+a+d\) according to the Associative Property of Addition. Thus, any of these choices can be considered correct:

• b+(c+a)+d
• d+a+(b+c)
• (b+c)+d+a
• d+(b+c)+a

Choose any that you find appropriate if your question specifically asks for one correct equivalent expression.

Answer 2

answer the question

Answer 3

The expression \((b+c)+a+d\) can be rearranged using the Associative Property of Addition in various valid ways.

One correct equivalent expression is b+(c+a)+d.

Any of the provided options are valid, but if you must select just one, you can choose:

b+(c+a)+d.

This option clearly shows a valid application of the Associative Property.