Gujarat BoardEnglish MediumSTD 10MathsStatistics1 Mark
Question
$\pi$ is an irrational number (True/ False).
✓
Answer
True.
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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