Identify the property that justifies each step asked about in the answer area below.
Line 1: , left bracket, 5, x, right bracket, left bracket, 2, y, right bracket
Line 1: =
(5x)(2y)
Line 2: , 5, dot, left bracket, x, dot, 2, right bracket, dot, y
Line 2: =
5⋅(x⋅2)⋅y
Line 3: , 5, dot, left bracket, 2, dot, x, right bracket, dot, y
Line 3: =
5⋅(2⋅x)⋅y
Line 4: , left bracket, 5, dot, 2, right bracket, left bracket, x, dot, y, right bracket
Line 4: =
(5⋅2)(x⋅y)
Line 5: , 10, x, y
Line 5: =
10xy
Answer
Attempt 1 out of 3
Line 1 to Line 2:
Line 2 to Line 3:
Line 3 to Line 4:
Line 1 to Line 2: Commutative Property of Multiplication
Line 2 to Line 3: Associative Property of Multiplication
Line 3 to Line 4: Commutative Property of Multiplication
Line 4 to Line 5: Associative Property of Multiplication
incorrect
I apologize for the mistake. Here is the correct identification of the properties:
Line 1 to Line 2: Associative Property of Multiplication
Line 2 to Line 3: Commutative Property of Multiplication
Line 3 to Line 4: Associative Property of Multiplication
Line 4 to Line 5: Commutative Property of Multiplication
The property that justifies each step in the answer area is the commutative property of multiplication.
Explanation for Line 1 to Line 2:
The commutative property of multiplication states that the order of factors can be changed without changing the result. In this step, we are rearranging the factors by changing the order of multiplication without altering the value.
Explanation for Line 2 to Line 3:
Again, the commutative property of multiplication is applied. We are rearranging the factors by changing the order of multiplication without altering the value.
Explanation for Line 3 to Line 4:
Once more, the commutative property of multiplication is used here. We are rearranging the factors by changing the order of multiplication without altering the value.
Explanation for Line 4 to Line 5:
In this step, we are simply performing the multiplication operations to simplify the expression. The result is 10xy, which combines the factors 10, x, and y.
Therefore, the main property utilized in the given steps is the commutative property of multiplication.