Properties of Mathematics

Front

Commutative Property

Back

You can change the order of what you are multiplying or adding,

(ab)c = (ba)c.

(a+b) + c = (b+a) +c

(a+b) + c = c + (a+b)

Front

Associative Property

Back

You can change the grouping of what you are multiplying or adding,

(a+b)+c=a+(b+c).

(ab)c=a(bc)

Front

Identity Property

Back

You can add 0 or multiply by 1 and the value will not change.

a+0=a

a⋅1=a

Front

Inverse Property

Back

Front

Property of Zero

Back

Multiplying by 0 will always equal 0.

a⋅0=0

Front

Distributive Property

Back

You can multiply a value on the outside to each term inside a set of parentheses

a(b+c)=ab+ac.

Front

Reflexive Property

Back

A value always equals itself, a=a.

Front

Symmetric Property

Back

If a=b, then b=a.

Front

Transitive Property

Back

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