Real number: Difference between revisions
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a.(b.c)=(a.b).c | a.(b.c)=(a.b).c | ||
=== Aditive identity peoperty === | |||
a+0=a | |||
=== Multiplicative identiy property === | |||
a.1=a | |||
=== Multiplicative identity property === | |||
a.1 =a | |||
=== Additive inverse property === | |||
a+(-a)=0 | |||
=== Multiplicative inverse property === | |||
a.(1/a)=1 where a is not 0 | |||
Revision as of 23:20, 28 April 2022
Calculus is based in the system of real numbers and their properties.
Classification
Real numbers are classified as rational numbers (denoted by Q), integers (Z), whole numbers (W), natural numbers, and irrational numbers. In order of inclusion, non-irrational real numbers can be ordered as follows:
Properties
Distributive Property
a.(b+c)=a.b+a.c
Commutative property of addition
a+b=b+a
Commutative property of multiplication
a.(b.c)=(a.b).c
Aditive identity peoperty
a+0=a
Multiplicative identiy property
a.1=a
Multiplicative identity property
a.1 =a
Additive inverse property
a+(-a)=0
Multiplicative inverse property
a.(1/a)=1 where a is not 0