Question

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

Answer 1

According to the Associative Property of Addition, the grouping of numbers does not affect the sum. This means that the expression can be rearranged without changing its value.

The original expression is \((b+c)+a+d\). We can rewrite this expression by regrouping the terms.

Here are the options provided and how they relate to the original expression using the Associative Property:

1. \(d + a + (b + c)\) - Valid: The arrangement and groupings are changed but it equals the original expression.
2. \(b + (c + a) + d\) - Valid: This also equals the original expression.
3. \(b + (c + a) + d\) - Already mentioned, valid.
4. \((b + c) + d + a\) - Valid: This also equals the original expression.
5. \((b + c) + d + a\) - Already mentioned, valid.
6. \(d + (b + c) + a\) - Valid: This also equals the original expression.

Therefore, any of the first, second, fourth, and sixth options are equivalent to the original expression \((b+c)+a+d\). If you need a specific answer among the options offered, you can choose any of these valid equations.