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Π is an Irrational Number (True/False). - Mathematics

Numerical

π is an irrational number (True/False).

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Solution

Here `pi` is an irrational number

True

Reason:

Rational number is one that can be expressed as the fraction of two integers. 

Rational numbers converted into decimal notation always repeat themselves somewhere in their digits. 

For example, 3 is a rational number as it can be written as 3/1 and in decimal notation it is expressed with an infinite amount of zeros to the right of the decimal point. 1/7 is also a rational number. Its decimal notation is 0.142857142857…, a repetition of six digits.

However `sqrt2 `cannot be written as the fraction of two integers and is therefore irrational.

Now,

`pi = 3.14159265358979323846264338327950288419716939937510..`

Thus, it is irrational.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 22 | Page 58
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