Printable Properties
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Associative
(a+b)+c=a+(b+c)
and (ab)c=a(bc)
This simply states that addition or multiplication will done in any
order will give you the same number.
Symetric
If a=b then
b=a
This states that if 1 equals one, then of course, 1 is equal to 1.
This works like 1.5=3/2 also.
Reflexive
a=a
If one number equals itself, it is true.
Substitution
If a=b then a
may be replaced with b in anything.
This is almost like Symetric. Actually, it can be pretty rough
trying to tell the difference.
Transitive
If a=b and
b=c then a=c
This is the Substitution Property with three variables.
Identity
a+0=a
and a*1=a
A plus nothing would give you a again, as will a multiplied by 1.
Commutive
a+b=b+a
and a*b=b*a
Same thing as Associative Property, yet with
2 numbers and without parenthesis. It doesn't matter in which
order you do it in.