Properties of Algebra By: Zoe Gaffney

Associative Property Associative Property is when you change the numbers that are in the parenthesis. Example: (5+2)+7 = 5+(2+7) (5*2)*7 = 5*(2*7)

Commutative Property Commutative Property of Addition and Multiplication: Changing the order of numbers in the parenthesis doesn’t change the answer Example: (5+2)+7 = (2+5)+7 (5*2)*7 = (2*5)*7

Identity Property Identity property of multiplication is that if you multiply 1 by a number it will not change it. Identity property of addition is if you add zero it will not change the answer Example: 3+0=3 3*1=3

Distributive Property Distributive Property is when there is a number next to parenthesis and you multiply the outside number by the inside numbers. Example: 7(3+2)

Equality Property When you use an operation to combine an identity with another number, that number stays the same. Zero is called the additive identity, because adding zero to a number will not change it: the number stays the same. Example 0 + a = a = a + 0.

Inverse Property Inverse property of addition states that when an integer is combined with its opposite, it is equal to zero. The inverse property of multiplication is multiplying the number by a fraction of itself. Example: 3+(-3)=0 3*1/3=1