Question

complete the expressions and select the missing properties. write each answer as a number, a variable, or the product of a number and a variable. 8 + (2d + 5) = (2d + 5) + \square = 2d + (\square + 8) = 2d + \square add

Explanation:

Step1: Apply Commutative Property of Addition

The Commutative Property of Addition states that \(a + b = b + a\). So for \(8 + (2d + 5)\), we can rewrite it as \((2d + 5) + 8\).

Step2: Apply Associative Property of Addition

The Associative Property of Addition states that \(a + (b + c) = (a + b) + c\). Here, we group \(5\) and \(8\) together, so \( (2d + 5) + 8 = 2d + (5 + 8)\).

Step3: Add the numbers inside the parentheses

Now, we calculate \(5 + 8 = 13\), so \(2d + (5 + 8)=2d + 13\).

Answer:

First blank: \(8\) (Property: Commutative Property of Addition)
Second blank: \(5\) (Property: Associative Property of Addition)
Third blank: \(13\)