Real Numbers Algebra

Real numbers algebra - commutative law for addition, 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)

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