what are the 6 fields axioms of real number? what arethe 3 equality axioms of real numbers? and what are the 5 axioms of order? pls...help me with...

1) The reflexive axiom of
equality:

x = x, for ay real number
"x"

Example 100 = 100

2) The
symmetric axiome of equality:

If x = y, then y =
x

Example: If 1 + 4 = 5, then 5 = 1 +
4

3) The transitive axiom of
equality:

If x = y and y = z, then x =
z

The axioms of order:

1)
Translation invariance of order: x < y => x + z < y + z, for any x
and y real numbers

Example: 2 < 3 => 2 + 4
< 3 + 4 <=> 6 < 7

2) The
transitivity axiome of order: x < y and y < z => x <
z

3) The trichotomy axiome of order: x < y and y
< x  => x = y

4) The scaling axiome of
order:

If x < y and z> 0 => x*z
< y*z