PROPERTIES
 Commutative Property of Addition (Multiplication) – Order does not matter
if you’re adding numbers or multiplying numbers.
Ex: 3 + 2 = 2 + 3
Ex: 2(5) = 5(2)
 Associative Property of Addition (Multiplication) – When 3 or more
numbers are being added (or multiplied), you can regroup and have the
same outcome. Ex: (3 + 4) + 8 = 3 + (4 + 8) Ex: 3 x (5 x 2) = (3 x 5) x 2
 Distributive Property – The result of multiplying a number by the sum of
two numbers is the same as the result of multiplying each addend by the
number. Ex: 4(3 + 5) = (4 x 3) + (4 x 5)
 Additive Identity – Adding zero to a number leaves it unchanged. (2 + 0 = 2)
 Multiplicative Identity - A number multiplied by 1 equals itself. (6 x 1 = 6)
 Additive Inverse – Adding a number to its opposite equals zero. 8 + (-8) = 0
 Multiplicative Inverse – A number times its reciprocal equals one.
Ex: 7 x
1
7
=1
Ex:
3
4
x
4
3
=1