Question

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

Explanation:

Step1: Recall Distributive Property

The distributive property states that \( a(b + c) = a \cdot b + a \cdot c \). Here, \( a = 5 \), \( b = 10 \), and \( c = 2 \).

Step2: Apply the Property

Using the distributive property on \( 5(10 + 2) \), we multiply 5 with each term inside the parentheses. So, \( 5(10 + 2)=5\cdot10 + 5\cdot2 \).

Answer:

\( 5\cdot10 + 5\cdot2 \) (or simplified as \( 50 + 10 \), but the form as a sum using the distributive property expansion is \( 5\times10 + 5\times2 \))