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Detailed Explanation: Rational & Irrational Numbers Video Lecture - Class 9
FAQs on Detailed Explanation: Rational & Irrational Numbers Video Lecture - Class 9
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be positive, negative, or zero and can be written in the form p/q, where p and q are integers and q is not equal to zero.
| 2. What are irrational numbers? | |
Ans. Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They are non-repeating and non-terminating decimals and cannot be written as a simple fraction. Examples of irrational numbers include √2, π (pi), and e.
| 3. How can we identify if a number is rational or irrational? | |
Ans. To identify whether a number is rational or irrational, we can check its decimal representation. If the decimal representation terminates or repeats, then the number is rational. However, if the decimal representation neither terminates nor repeats, then the number is irrational.
| 4. Are all square roots irrational numbers? | |
Ans. No, not all square roots are irrational numbers. Only the square roots of non-perfect square numbers are irrational. For example, √4 = 2, which is a rational number because 4 is a perfect square. But √2 is irrational because 2 is not a perfect square.
| 5. Can a number be both rational and irrational? | |
Ans. No, a number cannot be both rational and irrational at the same time. A number can either be rational or irrational, but not both. If a number can be expressed as a fraction, it is rational. If it cannot be expressed as a fraction, it is irrational.
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