Question

use the distributive property to write 5(10 + 2) as a sum. 5(10 + 2) = 5 + 10 ▲ + 5·2

Explanation:

Step1: Recall distributive property

The distributive property states that \( a(b + c)=a\cdot b + a\cdot c \).

Step2: Apply to \( 5(10 + 2) \)

Here, \( a = 5 \), \( b = 10 \), and \( c = 2 \). So, \( 5(10 + 2)=5\cdot10+5\cdot2 \).

Answer:

\( 5\cdot10 + 5\cdot2 \) (or \( 50 + 10 \) if we calculate the products, but the question asks to write as a sum using the distributive property, so the form with the products is more appropriate as per the process)