Match the property.

(Write C for Commutative, A for Associative, I for Identity)

a) (6 + 4) + 2 = 6 + (4 + 2)

b) 0 + 95 = 95

c) 3 + 7 = 7 + 3

Let's match each of these expressions with their corresponding mathematical property.

Associative Property (A):

The associative property deals with how numbers are grouped in an operation. It states that the grouping of numbers (how they are parenthesized) does not change the result of the operation.

Example: ( a + b ) + c = a + ( b + c )

In the given problem:

For expression (a) ( 6 + 4 ) + 2 = 6 + ( 4 + 2 ) , the numbers are regrouped with parentheses, and this demonstrates the associative property of addition.



Therefore, (a) matches the Associative Property: A

Identity Property (I):

The identity property describes the concept that the sum of any number and zero is the number itself.

Example: a + 0 = a

In the given problem:

For expression (b) 0 + 95 = 95 , adding zero to 95 does not change its value, indicating the identity property of addition.



Therefore, (b) matches the Identity Property: I

Commutative Property (C):

The commutative property states that the order in which two numbers are added does not change their sum.

Example: a + b = b + a

In the given problem:

For expression (c) 3 + 7 = 7 + 3 , the numbers are rearranged, demonstrating the commutative property of addition.



Therefore, (c) matches the Commutative Property: C


In summary:

(a) Associative Property: A

(b) Identity Property: I

(c) Commutative Property: C

Answered by LucasMatthewHarris | 2025-07-06