Question

prealgebra.. please help... examples for each one are commutative property, associative property, additive identity property and additive inverse property.

Answer 1

Explanation:

Lets first understand what each of these properties are.

• Commutative property - an operation is commutative if changing the order of the operands does not change the result
• Associative property - an operation is associative if grouping the operands with parenthesis does not change the result
• Additive identity property - this property says that when you add 0 to a real number, or add a real number to 0, the result is the same real number
• Additive inverse property - the additive inverse of a number is the number required to add to make the result 0

Problem 1

This is an example of the additive inverse property because -2 + 2 = 0.

Problem 2

This is an example of the associative property because the numbers are grouped differently, but still equal each other.

Problem 3

This is an example of the commutative property because the numbers are arranged differently but still equal each other.