Question

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

(b+c)+d+a
left parenthesis b plus c right parenthesis plus d plus a

d+(b+c)+a
d plus left parenthesis b plus c right parenthesis plus a

d+a+(b+c)
d plus a plus left parenthesis b plus c right parenthesis

b+(c+a)+d

Answer 1

According to the Associative Property of Addition, the grouping of numbers does not affect the sum. This means that you can regroup the terms in any way without changing the result.

Given the expression \((b+c)+a+d\), we can regroup the terms as follows:

1. \((b+c)+d+a\) is equivalent.
2. \(d+(b+c)+a\) is equivalent.
3. \(d+a+(b+c)\) is equivalent.
4. \(b+(c+a)+d\) is also equivalent.

All of these options are equivalent to the original expression \((b+c)+a+d\) due to the Associative Property of Addition.

Therefore, all the provided responses are equivalent to the original expression.