Which of the following illustrates the commutative property of addition? $$ \begin{array}{l}\text { Enter } a, b, c, d \text {, or } e \text {. } \ \qquad(a b+c d)(e f g)= \ \begin{array}{ll}\text { a. baefg }+d c e f g & b(e f g)(a b+c d) \ \text { c. }(a b+c d)(g f e) & d .(c d+a b)(e f g) \ \text { c. (ba }+d c)(e f g)\end{array}\end{array} . $$

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The commutative property of addition states that changing the order of the addends does not change the sum. In mathematical terms, this can be expressed as:

$$
x + y = y + x
$$

To identify which of the given options illustrates the commutative property of addition, we need to look for an expression where the order of addition is changed.

Let's analyze each option:

1. **Option a:** $$ baefg + dcefg $$
   - This expression is a sum of two terms. It does not illustrate the commutative property directly, as it does not show a change in order.

2. **Option b:** $$ (efg)(ab + cd) $$
   - This expression is a product of $$ (efg) $$ and $$ (ab + cd) $$. It does not illustrate the commutative property of addition.

3. **Option c:** $$ (ab + cd)(gfe) $$
   - Similar to option b, this is a product and does not illustrate the commutative property of addition.

4. **Option d:** $$ (cd + ab)(efg) $$
   - This is also a product and does not illustrate the commutative property of addition.

5. **Option e:** $$ (ba + dc)(efg) $$
   - This is again a product and does not illustrate the commutative property of addition.

None of the options explicitly show a change in the order of addition. However, if we consider the expression $$ ab + cd $$ and $$ cd + ab $$, they are equivalent due to the commutative property.

Since none of the options directly illustrate the commutative property, it seems there might be a misunderstanding in the options provided. However, if we were to choose the one that comes closest to illustrating the property, it would be the one that contains the addition of two terms, which is option a, as it contains a sum.

Thus, the answer is:

**a**
The answer is **a**.

Which of the following illustrates the
commutative property of addition?

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