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

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

Pearl Ansah-Nyarko · Accepted Answer

Final Answer : D, Explanation :  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 $(7 x + 10 y) + 2 z = 7 x + (10 y + 2 z)$ .

A) Additive Inverse Property
B) Additive Identity Property
C) Commutative Property of Addition
D) Associative Property of Addition
E) Distributive Property

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