Select the property that allows the left member of the equation to be changed to the right member.

a ( b + c ) = ab + ac

associative - multiplication
commutative - addition
identity - addition
distributive
symmetric
commutative - multiplication
associative - addition

The property that allows the equation \( a(b + c) = ab + ac \) to change the left-hand side to the right-hand side is the **distributive property**. 

The distributive property states that multiplying a number by a sum is the same as multiplying the number by each addend individually and then adding the products.

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:
1. Can you provide an example of the distributive property with specific numbers?
2. What is the difference between the distributive property and the associative property?
3. How is the distributive property used in solving algebraic equations?
4. Can the distributive property be applied to subtraction?
5. How does the distributive property relate to factoring?

**Tip**: The distributive property is particularly useful in simplifying algebraic expressions and solving equations, especially when dealing with parentheses.

Select the property that allows the left member of the equation to be changed to the right member. a ( b + c ) = ab + ac

Explore the distributive property with the equation a(b + c) = ab + ac. This page breaks down the concept of distributing multiplication over addition, explaining its importance in simplifying algebraic expressions. Ideal for students in Grades 6-8.

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