Question

complete the expressions and select the missing property. write each answer as a number, a variable, or the product of a number and a variable. 7r + 6r = (7 + \square)r = \square r add

Explanation:

Step1: Identify the distributive property

The expression \(7r + 6r\) can be rewritten using the distributive property of multiplication over addition, which states that \(a\times c + b\times c=(a + b)\times c\). Here, \(c = r\), \(a = 7\), and \(b = 6\). So, \(7r+6r=(7 + 6)r\).

Step2: Add the numbers inside the parentheses

Now, we add \(7\) and \(6\): \(7+6 = 13\). So, \((7 + 6)r=13r\).

Answer:

First box: \(6\) (by distributive property)
Second box: \(13\) (after adding \(7\) and \(6\))
The property used is the distributive property (or more specifically, the reverse of the distributive property, also known as combining like terms which is based on the distributive property).