The question is asking which equation illustrates the associative property of addition.

Associative Property of Addition:

The associative property states that for any numbers $a, b,$ and $c$, the grouping of the numbers does not affect the sum: $(a + b) + c = a + (b + c)$

The given equation is: $(abc + d) + (XYZ) = ?$

We are looking for an option that re-groups the terms to reflect the associative property. Based on the provided options:

• Option (e): $(abc) + (d + XYZ)$ is correct, because it shifts the grouping to $d + XYZ$, keeping the sum unchanged.

Final Answer:

e. $(abc) + (d + XYZ)$

Would you like a detailed breakdown of how the associative property applies here?

Related Questions:

1. What is the difference between the associative and commutative properties?
2. How is the associative property applied in algebraic expressions with variables?
3. Can the associative property be applied to subtraction or division? Why or why not?
4. What are some real-life examples of the associative property in action?
5. How does the associative property extend to multiplication?

Tip:

When solving problems related to properties of operations, always verify by grouping and calculating both sides of the equation to ensure equivalence!