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Real Numbers Algebra
Real numbers algebra - commutative law for addition, associative law for addition and more
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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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