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. 2 + (3v + 1) = (3v + 1) + \square = \square + (1 + 2) = 3v + \square add

Explanation:

Step1: Apply Commutative Property of Addition

The commutative property of addition states that \(a + b = b + a\). So for \(2+(3v + 1)\), we can rewrite it as \((3v + 1)+2\). So the first blank is \(2\) and the property is Commutative Property of Addition.

Step2: Apply Associative Property of Addition

The associative property of addition states that \((a + b)+c=a+(b + c)\). So \((3v + 1)+2 = 3v+(1 + 2)\). So the second blank is \(3v\) and the property is Associative Property of Addition.

Step3: Add the Constants

Now we add \(1\) and \(2\), which gives \(3\). So the third blank is \(3\).

Answer:

First blank: \(2\) (Property: Commutative Property of Addition)
Second blank: \(3v\) (Property: Associative Property of Addition)
Third blank: \(3\)