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=33*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)21+14

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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.

Example0 + 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)=03*1/3=1