| A | B |
| Area Model for Multiplication | A=Lw |
| Commutative Property | ab=ba |
| Area model for Multiplication (discrete) | R rows x C columns |
| Associative Property of Multiplication | (ab)c=a(bc) |
| Multiplicative Identitiy Property of 1 | a x 1=1 x a=a |
| property of reciprocals | a isn't equal to 0, the reciprical of a is 1/a. that is, a x 1/a=1/a x a=1 |
| reciprical of a Fraction property | a not = to 0 and b isn't=to 0, the reciprical of a/b is b/a |
| multiplication property of 0 | a x 0= 0 |
| multiplying fractions property | a/b x c/d=ac/bd |
| equal fractions property | ak/bk=a/b |
| multiplication property of -1 | a x -1=-1 x a= -a |
| multiplication property of equality | if a=b, then ca=cb |
| multiplication property of inequality | if x<y and a is positive, the ax<ay |
| multiplication property of inequality, negative | if x<y, and a is negative, then ax>ay |
| permuation Theorem | there are n! possible permuations of n different items when each item is used exactly once |