raju said π is a irrational number. Krishna said rational, which one is correct?
class:- 9th
subject:- maths
chapter:- polynomials
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Answers
Polynomials
As Raju said that, π is an irrational number and Krishna said that it is a rational number.
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So, here Krishna said wrong and Raju said right. This is why because, it is an irrational number as it non-terminating and non-repeating number. Its value is 3.14... or 22/7.
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Let's check that whether π is actually non terminating and non repeating number or not.
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As we know that, Irrational numbers are those numbers which are non terminating and non-repeating numbers.
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The value of π = 22/7. On dividing 22/7 we get: 3.142.... The expansion is non terminating and non-repeating.
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Hence, it is an irrational number.
Raju's answer is correct.
All rational numbers can be expressed as a fraction whose denominator is non zero. Whereas, pi cannot be expressed in the fraction of two integers and has no accurate decimal value, so pi is an irrational number.