if M and Arepresents integers, M+A=A+M is an example of which property?
a distributive
b associated
c closure
d commutative
The correct answer is d) commutative property.
The commutative property states that for any two numbers, changing the order of addition or multiplication does not change the result. In this case, M + A is equal to A + M, which demonstrates the commutative property.
The equation M + A = A + M is an example of the commutative property.
To understand why, let's break down each property and determine which one applies here:
a) The distributive property is used when you have an expression that involves both addition and multiplication. Since there are no multiplication operations in the given equation, this property does not apply.
b) The associative property is used when you have a series of additions or multiplications and you can group the terms in different ways. Again, this property is not applicable here since there are no groupings of terms or multiple operations.
c) The closure property mainly applies to operations like addition or multiplication on a specific set of numbers (e.g., integers, real numbers) that always yield a result within the same set. It is not relevant to the equation presented.
d) The commutative property states that the order of the terms does not affect the result of addition or multiplication. In the given equation, you can see that switching the order of M and A on either side of the equation doesn't change the result, which satisfies the commutative property.
Therefore, the correct answer is option d) commutative property.