Properties of Addition and Multiplication

Commutative Property of Addition-Changing the order of two addends does not change thier sum.

a+b=b+a

Associative Property of Addition-Changing the grouping of three addends does not change thier sum.

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

Identity Property of Addition-The sum of any number and zero is the original number.

a+0=0 and 0+a=a

Commutative Property of Multiplication-Changing the order of two factors does not change their product.

a*b=b*a

Associative Property of Multiplication-Changing the grouping of three factors does not change thier product.

(a*b)*c=a*(b*c)

Identity Property of Multiplication-the product of any number and one is that number.

a*1=a and 1*a=a

Distributive Property-For all numbers a, b, and c,
a(b+c)=(a*b)+(a*c)
a(b-c)=(a*b)-(a*c)