Rational and Irrational numbers

14 Feb
Class 9 - Number System, Number system, , , , , ,

Concept: Rational and irrational numbers constitute real numbers. Also, the set of rational and irrational numbers are mutually exclusive that means no number can be both rational and irrational. Symbols Q and Q′  (read it as Q-dash or Q-prime) are used to set of rational and irrational numbers respectively. 

Rational Number

A number that can be written in the form of p/q where both p and q are integers and q ≠ 0.

OR

A number that either has a finite decimal part like 2, 4.5 or has an infinite but recurring (repeating) decimal part like 4.6666…, 2.3456456…

Irrational Number

A number that cannot be written in the form of p/q where both p and q are integers and q ≠ 0.

OR

A number that has an infinite and non-recurring (non-repeating) decimal part like 

1.01001000100001…., √2, √3, 𝛑

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