Question

Classify as rational or irrational number.
a) 42.134
b) 0.120120012000.......
c) 21.12
​

Answer 1

Answer:

A,c Rational and b irrational.

Answer 2

$\underline{\pink{ Rational \:number : }}$

$A \: number \: which \:can \:be \:written \:in \\the \: form \: of \: \frac{p}{q} , where \:p \: and \:q \\are \: integers \:and \: q \neq 0 \: is \: called \:a \\Rational \: number$

All Rational numbers can be represented by

i) Terminating decimal

Or

ii) Non-terminating repeating decimal

$a ) 42.134 \: \blue{ ( Rational \: number )}\\(\because Terminating \: decimal )$

$b ) 21.12 \: \blue{ ( Rational \: number )}\\(\because Terminating \: decimal )$

$\underline{\green{ Irrational \:number : }}$

A number which cannot be expressed as a terminating decimal or a repeating decimal is called an Irrational number.

$b) 0.120120012000\ldots \: \blue{ ( Irrational \:number )} \\( \because Non - terminating \: non - repeating \:decimal )$

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