How could you correctly rewrite the equation 4(5+3)=2(22-6) using the distributive property?

12+20=-12+44

20+18=44-6

20+12=44-12

20+3=44-6

Let's apply the distributive property step by step to correctly rewrite the equation \( 4(5+3) = 2(22-6) \).

### Step 1: Apply the distributive property
Distribute the numbers outside the parentheses to each term inside:

- For the left side: 
  \[
  4(5 + 3) = 4 \times 5 + 4 \times 3 = 20 + 12
  \]
  
- For the right side:
  \[
  2(22 - 6) = 2 \times 22 - 2 \times 6 = 44 - 12
  \]

### Step 2: Combine the results
So the equation becomes:
\[
20 + 12 = 44 - 12
\]

Thus, the correct rewritten equation is:

\[
20 + 12 = 44 - 12
\]

This matches the third option: **"20 + 12 = 44 - 12"**.

Would you like further details or have any questions? 

### Related questions:
1. What does the distributive property mean in general?
2. Can the distributive property be used for division as well as multiplication?
3. How do you solve equations after using the distributive property?
4. How does the distributive property relate to factoring?
5. Can you explain how to apply the distributive property with variables?

### Tip: 
Always apply the distributive property to each term inside the parentheses, and be careful to respect the signs (positive or negative).

How could you correctly rewrite the equation 4(5+3)=2(22-6) using the distributive property?

Learn how to apply the distributive property to rewrite the equation 4(5+3)=2(22-6) step by step. This problem covers key algebra concepts and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation