Properties of Real Number

The law that specifies, "if $x,y,z$ are three real numbers, $x\ne 0$ and $xy=xz$, then $y=z$", is 

If $x,y,z$ are three real numbers,$x\ne 0$ and $xy=xz$, then $y=z$

If $x,y,z$ are three real numbers,$x\ne 0$ and $xy=xz$, then $x=y$

If $x,y,z$ are three real numbers,$x\ne 0$ and $xy=xz$, then 

State and prove cancellation law for the multiplication of real numbers.

if $x,y,z$ are three real numbers and $x+y=x+z$, then $y=z$

The law that specifies, "if $x,y,z$ are three real numbers and $x+y=x+z$, then $y=z$", is 

According to the cancellation law for the addition of real numbers, if $x,y,z$ are three real numbers and $x+y=x+z$, then $x=z$.

If $x,y,z$ are three real numbers and $x+y=x+z$, then 

State and prove cancellation law for the addition of real numbers.

Explain the associative property of real numbers under addition with an example.

The associative property is only applicable for the arithmetic operations addition and multiplication.

Explain the associative property of real numbers under multiplication with an example.

Associative property of real numbers under addition such that,

Explain commutative property of real numbers under multiplication with an example.

The commutative property is only applicable for the arithmetic operations addition and multiplication.

The commutative property is only applicable for two arithmetic operations 

Commutative property of real numbers under addition such that,

Closure property of real numbers under addition state that,

What is the closure property of real numbers under multiplication, explain with an example.