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)
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