How is associated commutative closure distributive properties are represented?

The main properties in mathematics are

  • Commutative
  • Closure
  • Distributive

These are represented as follows:

Commutative: It states that the order of numbers in addition and multiplication does not matter. The end result will b the same.

If x and y are two numbers then according to the commutative property

x + y = y + x

x × y = y × x

Closure: The addition and subtraction states that the sum or difference of any two integers will always be an integer.

If x and y are two numbers then according to the closure property

x + y

x − y

The result of these two will be an integer

Distributive: This property states the application of brackets on the mathematical equation.

If x, y and z are two numbers then according to the distributive property

x × (y + z) = x × y + x × z

x × (y − z) = x × y − x × z

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