rational :-in the form of p by q and q not equally to zero. irrational:- in the form of p by q and it is opposite to each other and it's result is not in a proper way.
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29th Jul, 2024
Rational Numbers
- A rational number is any number that can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers, and \( q \) is not equal to zero.
- Examples: \( \frac{1}{2} \), \( \frac{3}{4} \), \( -\frac{5}{6} \), and any integer (since an integer \( n \) can be written as \( \frac{n}{1} \)).
Irrational Numbers
- An irrational number cannot be expressed as a simple fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers, and \( q \) is not equal to zero.
- Irrational numbers have non-repeating decimal expansions.
In summary, rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed in such a way.
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