State the property or properties that justify the following statement. $(3+5)+7=3+(5+7)$
A) Additive identity.
B) Associative property of multiplication.
C) Distributive property of multiplication.
D) Associative property of addition.
E) Commutative property of addition.

Question

Quizplus · Accepted Answer

The statement is justifying the associative property of addition, which states that the grouping of addends does not change the sum. This can be written as (a + b) + c = a + (b + c). In the given statement, (3+5)+7 and 3+(5+7) are both equal to 15, showing the same grouping of addends. Therefore, the answer is D, the associative property of addition.

State the Property or Properties That Justify the Following Statement (3+5)+7=3+(5+7)(3+5)+7=3+(5+7)(3+5)+7=3+(5+7)

State the Property or Properties That Justify the Following Statement $(3+5)+7=3+(5+7)$