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
Line 1: The distributive property of multiplication, which states that (a+b)(c) = a(c) + b(c).
Line 2: The associative property of multiplication, which states that (a(bc)) = (ab)c.
Line 3: The commutative property of multiplication, which states that (ab) = (ba).
Line 4: The distributive property of multiplication, which states that (a+b)(c+d) = ac + ad + bc + bd.
Line 5: The simplification of multiplication, where 10 multiplied by x and y results in 10xy.