Q: What are rational and irrational numbers?
A: Rational numbers are numbers that can be written in the form p/q, where p and q are integers and q ≠ 0. Examples include fractions like 1/2, whole numbers like 3, and negative numbers like -4 (since they can be expressed as fractions too).
On the other hand, irrational numbers cannot be written as a ratio of two integers. Their decimal form goes on forever without repeating. Common examples are √2, π (pi), and e.
👉 In short, rational numbers are exact fractions or terminating/repeating decimals, while irrational numbers are non-repeating, non-terminating decimals.
FAQ:
1. What are rational numbers?
Rational numbers are numbers that can be written as p/q, where p and q are integers and q ≠ 0. Examples include 1/2, 3, -4. Their decimals either terminate (end) or repeat.
2. What are irrational numbers?
Irrational numbers are numbers that cannot be written as a ratio of two integers. Their decimal expansion is non-terminating and non-repeating. Examples are √2, π, and e.
3. How do you quickly tell if a number is rational or irrational?
If the decimal ends or repeats, it’s rational. If it goes on forever without repeating, it’s irrational.
4. Is 0 rational or irrational?
Zero is a rational number because it can be written as 0/1.