Question

1.) ਇਹਨਾਂ ਵਿੱਚੋਂ ਕਿਹੜੀ ਅਪਰਿਮੇਯ
ਸੰਖਿਆ ਹੈ ? Which of the
following is an irrational
number? *
O 041616
O 23.23232323.........
O
23.1010010001......
O None of these​

Answer 1

Answer:

23.1010010001... is irrational..

Answer 2

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

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

Decimal Representation of Rational numbers:

All rational numbers can be converted into deciamal numbers .

There are 2 types of decimals :

1. Terminating deciamals.
2. Non- terminating decimals.

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

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

$Here, i) 0.41616 \\It \: is \: terminating \:decimal.\\ \blue{ ( Rational \:number ) }$

$ii) 24.232323\ldots \\It \: is \:Non - terminating \:decimal.\\ \blue{ ( Rational \:number ) }$

$iii) 23.1010010001 \ldots \\It \: is \:non - terminating\: and \\ non - repeating \:decimal.\\ \green{ ( Irrational \:number ) }$

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