Properties of Algebra

1+2 = 2+1

Commutative property of addition

2(3) = 3(2)

Commutative property of multiplication

(1+2)+3 = 1+(2+3)

Associative property of addition

(1 x 2)3 = (2 x 3)1

Associative property of multiplication

1+0 = 1

Additive identity property

2 x 1 = 2

Multiplicative identity property

1 + (-1) = 0

Additive inverse property

2 x 1/2 = 1

Multiplicative inverse property

1(2+3) = 1(2) + 1(3)

Distributive property

Real numbers

Rational and irrational numbers

Rational numbers

includes positive and negative numbers. Fractions and decimals that have a pattern if repeating.

Irrational numbers

Square roots of numbers that cannot be, pi, decimals that go on without pattern

Integer

Positive and negative whole numbers

Whole numbers

{0,1,2,3,4,...}

natural numbers

{1,2,3,4,...}

9*(1/9)=1

Multiplicative Inverse Property

2(3)4) = 2(4)3)

Commutative Property for Multiplication