Question

How is associated commutative closure distributive properties are represented?

Answer 1

Step 1: Main properties in mathematics

1. Commutative
2. Closure
3. Distributive

Step 2: Explanation of commutative

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

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

$x+y=y+x$

$x\times y=y\times x$

Step 3: Explanation of closure

Closure: The addition and subtraction state 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

Step 4: Explanation of distributive

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

$x\times (y+z)=x\times y+x\times z$

$x\times (y-z)=x\times y-x\times z$

Hence, the way associated commutative, closure, and distributive properties are represented has been shown.