Question
4(3 + 5) = 12 + 20. Which property of operation is this equation
Answers
GPT-4o mini
The equation \( 4(3 + 5) = 12 + 20 \) demonstrates the **Distributive Property** of multiplication over addition. The left side involves multiplying a number (4) by the sum of two other numbers (3 and 5), while the right side shows that this multiplication can be distributed: \( 4 \times 3 + 4 \times 5 \) results in \( 12 + 20 \).
So, rewriting the left side using the distributive property would give:
\[
4(3 + 5) = 4 \times 3 + 4 \times 5 = 12 + 20
\]
Thus, the equation reflects how you can distribute multiplication across addition.
So, rewriting the left side using the distributive property would give:
\[
4(3 + 5) = 4 \times 3 + 4 \times 5 = 12 + 20
\]
Thus, the equation reflects how you can distribute multiplication across addition.