Addition and multiplication
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In math, the Commutative Property refers to operations in which the order of the numbers being operated on does not matter. Multiplication and addition are commutative operations, which may be demonstrated by the algebraic equations "ab = ba" and "a + b = b + a", respectively.
Commutative property. To remember what the commutative property does, think of the word: commute.A person commutes to work each day. He changes his position (he's at home, then he's at work).In the commutative property of multiplication, the terms can move around or change position and the result will be the same.
The commutative property of addition can be stated as: a+b = b+a
division and subtraction
These are properties of algebraic structures with binary operations such as addition and/or subtraction defined on the set.The identity property, refers to a unique element of the set with special properties with respect to an operation.The commutative property states that the order of the operands does not matter. There are many algebraic structures where this property does not hold. The set of numbers with the operation subtraction or division do not have this property.The associative property states that the order in which a repeated operation is carried out does not matter.The distributive property is applicable when there are two binary operations defined on the set.