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1

4+6=6+4

Commutative
(Order)

2

5x+10= 5(x+2)

Distributive

3

3+7=3+7

Reflexive
(mirror)

4

A number times one still equals the original number

Multiplicative identity

5

A number plus zero still equals itself

Additive identity

6

Something plus it's opposite equals zero
Ex: -8+8=0

Additive inverses
(Opposites)

7

A 1/A=1

Multiplicative inverses
(Reciprocals)

8

Something times zero equals zero

Multiplicative property of 0

9

If a=b then b=a

Symmetric
(Swap sides)

10

If a=b and b=c, then a=c

Transitive

11

(X+y)+z=(x+z)+y
Regrouping

Associative
(Grouping)