Example of distributive property of equality

The distributive property of equality states that multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products. This property is expressed as:

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

### Example:
Let’s take an example with specific values.

\[
3(2 + 4) = 3 \times 2 + 3 \times 4
\]

First, apply the distributive property:

\[
3(2 + 4) = 3 \times 2 + 3 \times 4
\]

Calculate each term:

\[
3(2 + 4) = 6 + 12 = 18
\]

Both sides give the same result: \( 18 \).

Would you like more details or any clarification?

Here are five related questions:
1. How does the distributive property work with negative numbers?
2. Can you explain how the distributive property applies to algebraic expressions?
3. How does the distributive property help in simplifying equations?
4. Can the distributive property be used with division?
5. How do you factor expressions using the distributive property?

**Tip**: Always remember to distribute the number or term outside the parentheses to each term inside!

Understand the distributive property of equality with a detailed example involving multiplication and addition: 3(2 + 4) = 3 × 2 + 3 × 4. Learn how to apply the distributive property step by step and verify both sides of the equation. Suitable for students in Grades 6-8.

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