Question

Difference between commutative and associative property of addition

Answer 1

Defining Commutative Property

Simply put, the commutative property states that the factors in an equation can be rearranged freely without affecting the outcome of the equation. The commutative property, therefore, concerns itself with the ordering of operations including the addition and multiplication of real numbers, integers, and rational numbers and matrix addition.

Associative Property

The associative property of an operation exhibits associativity if the grouping of the operation is not important, which can be expressed as a + (b + c) = (a + b) + c because no matter which pair is added first because of the parenthesis, the result will be the same.

Answer 2

COMMUTATIVE PROPERTY OF ADDITION is that the number can be rearranged in any way and still the result is same.
a+b+c = c+b+a.
For example,
1+2+3 = 6 = 3+2+1.


Associative property of addition says that the numbers can be grouped in any way using parenthesis and still the result is same.
a+(b+c) = (a+b)+c.
For example,
1+(2+3) = 1+5 = 6.
(1+2)+3 = 3+3 = 6.


Hope it helps........

- Maheshwaran.