CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
$\pi$ is an irrational number (True/ False).
✓
Answer
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 $\frac{3}{1}$ and in decimal notation it is expressed with an infinite amount of zeros to the right of the decimal point. $\frac{1}{7}$ is also a rational number.
Its decimal notation is 0.142857142857…, a repetition of six digits.
However $\sqrt{2}$ cannot be written as the fraction of two integers and is therefore irrational.
Now,
$\pi=3.1415926.....$
Thus, it is irrational.
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