What is the communitive property in algebra?

All of the underneath is utter ignorance. Communitive means "of or belonging to a community" and has no algebraic meaning whatsoever.

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The Communitive Property shows that a problem can have the same answer if you re-arrange the numbers

Communitive property

A+B= B+A

It will not matter in addition how you group your numbers.

Example: 5+3 + 6 =14

6+3+5 = 14

In abstract algebra, a binary operation * has the commutative property if

a*b = b*a.

For ordinary numbers, addition has the commutative property; for example 2+3 = 3+2.

Subtraction does not have the commutative property, because 2 - 3 does not equal 3 - 2.

Multiplication of ordinary numbers has the commutative property, as does multiplication of complex numbers.

Matrix multiplication does not have the commutative property in general; there are matrices A, B such that A*B does not equal B*A.

Also the vector cross product does not have the commutative property, as

i x j = k, but j x i = -k.