Question

Identify the property that justifies each step about the answer and the area below. Line 1: (4+x)x line 2: x(4+x) line 3: x(x+4) line one to line is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property. Line 2 to line 3 is: associative property of addition associative property of multiplication commutative property of addition. Commutative property of multiplication or disruptive property

Answer 1

Let's break down the properties that justify each step:

1. Line 1 to Line 2:

   • From: (4+x)x
   • To: x(4+x)

   This step is justified by the Commutative Property of Multiplication, which states that the order of multiplication doesn't affect the product. Therefore, (4+x)x can be rearranged as x(4+x).

2. Line 2 to Line 3:

   • From: x(4+x)
   • To: x(x+4)

   This step involves reordering the terms inside the parentheses. It relies on the Commutative Property of Addition, which allows us to change the order of the terms being added. Thus, (4+x) can be rewritten as (x+4).

Summary of Properties Used:

• Line 1 to Line 2: Commutative Property of Multiplication
• Line 2 to Line 3: Commutative Property of Addition