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The statement 
 is true based on which axiom for addition?
Group of answer choices

Commutative Rule

Inverse Rule

Closure Rule

Distributive Rule

Associative Rule

Identity Element

The equation shown in the image is:

\[ a(b + c) = ab + ac \]

This equation is true based on the **Distributive Rule** (or Distributive Property) of multiplication over addition. The Distributive Rule states that multiplying a number by a sum is the same as multiplying the number by each addend individually and then adding the results.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the difference between the Distributive Rule and the Associative Rule?
2. Can the Distributive Rule be applied to subtraction as well?
3. How does the Commutative Rule differ from the Distributive Rule?
4. Why is the Distributive Rule important in algebra?
5. Can the Distributive Rule be used in reverse, factoring out a common factor?

**Tip:** Understanding the Distributive Rule is crucial for solving algebraic equations, especially when expanding expressions and factoring.

Explore the Distributive Rule in algebra through a detailed explanation and examples. Learn how the equation a(b + c) = ab + ac is derived and its application in solving algebraic expressions. Suitable for Grades 7-9 students and anyone interested in algebraic principles.

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