Identify the property of algebra illustrated by the statement $( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )$ .
A)Additive Inverse Property
B)Additive Identity Property
C)Commutative Property of Addition
D)Associative Property of Addition
E)Distributive Property

Question

Quizplus · Accepted Answer

The statement illustrates the Associative Property of Addition, which states that the grouping of addends does not affect the sum. In this case, the addition of (7x + 10y) is grouped with 2z in the first expression, and grouped with (10y + 2z) in the second expression, but the sum remains the same.

Identify the Property of Algebra Illustrated by the Statement (7x+10y)+2z=7x+(10y+2z)( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )(7x+10y)+2z=7x+(10y+2z)

Identify the Property of Algebra Illustrated by the Statement $( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )$