Identify the property shown by the equation

7+(5+8)=(7+5)+8
a. Commutative property
b. Associative property
c. Identity property
d. Distributive property

associative

a+(b+c) = (a+b)+c

Associative

ggver

To identify the property shown by the equation, we can break down the four answer choices:

a. Commutative property: This property states that changing the order of the operands does not change the result. For example, changing the order of addition, like 7 + 5 to 5 + 7, would still give the same answer. However, in the given equation, the order of addition is not changed.

b. Associative property: This property states that the grouping of the operands does not change the result. For example, grouping (7 + 5) + 8 as (7 + 5 + 8) would still give the same answer. In the given equation, the grouping is changed and it gives the same result on both sides of the equation.

c. Identity property: This property states that there is an identity element for an operation that leaves the other element unchanged. For example, adding 0 to a number does not change the value of the number. In the given equation, there is no presence of an identity element.

d. Distributive property: This property states that the operation distributes over another operation. For example, the distributive property of multiplication over addition states that a*(b + c) = a*b + a*c. In the given equation, the distributive property is not applicable.

Based on the analysis, the correct answer is b. Associative property, as the grouping of the operands is changed, but the result remains the same on both sides of the equation.