Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Real Numbers Algebra

The commutative and associative law for addition and more.

Commutative Law for Addition

Commutative Law for Addition can be expressed as

a + b = b + a         (1)

Associative Law for Addition

Associative Law for Addition can be expressed as

(a + b) + c = a + (b + c)         (2)

Identity Law for Addition

Identity Law for Addition can be expressed as

a + 0 = 0 + a         (3)

Inverse Law of Addition

Inverse Law of Addition can be expressed as

a + (-a) = (-a) + a = 0         (4)

Associative Law for Multiplication

Associative Law for Multiplication can be expressed as

a (b c) = (a b) c         (5)

Inverse Law for Multiplication

Inverse Law for Multiplication can be expressed as

a (1 / a) = (1 / a) a = 1, a ≠ 0           (6)

Identity Law for Multiplication

Identity Law for Multiplication can be expressed as

(a) (1) = (1) (a)           (7)

Commutative Law for Multiplication

Commutative Law for Multiplication can be expressed as

a b = b a         (8)

Distributive Law

Distributive Law can be expressed as

a (b + c) = a b + a c         (9)

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter


















































5.16.11

.