The number \( 0.2 \) can be expressed in fractional form as follows:
\[ 0.2 = \frac{2}{10} \]
This fraction can be simplified:
\[ \frac{2}{10} = \frac{1}{5} \]
Since both the numerator (1) and the denominator (5) are integers, we can see that \( 0.2 \) can be expressed as a fraction of integers, which shows that it is a rational number, not an irrational number.
An irrational number cannot be expressed in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers, and \( b \neq 0 \). Examples of irrational numbers include \( \sqrt{2} \), \( \pi \), and \( e \).
In summary, \( 0.2 \) is a rational number because it can be expressed as \( \frac{1}{5} \).
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