The equation \( 7(8 + 2) = 7(8) + 7(2) \) demonstrates the **distributive property** of multiplication over addition.

The distributive property states that for any numbers \(a\), \(b\), and \(c\):

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

In this case:
- \(a = 7\)
- \(b = 8\)
- \(c = 2\)

It shows that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products.

Would you like more details or have any questions about this property?

Here are five related questions:
1. Can the distributive property be applied to subtraction as well?
2. How does the distributive property relate to factoring expressions?
3. Can you give an example of the distributive property with variables?
4. How can the distributive property simplify complex expressions in algebra?
5. Why is the distributive property important in solving equations?

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

This page explains the distributive property of multiplication over addition using the equation 7(8 + 2) = 7(8) + 7(2). It provides a breakdown of the distributive rule, which is essential in algebra for simplifying expressions and solving equations. Suitable for students in Grades 6-8.

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