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Rational Numbers and Rational Cuts Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
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FAQs on Rational Numbers and Rational Cuts Video Lecture - Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not equal to zero. They can also be represented on a number line.
| 2. What are rational cuts? | |
Ans. Rational cuts, also known as Dedekind cuts, are a way to define irrational numbers. A rational cut divides the set of rational numbers into two non-empty subsets, such that every number in the first subset is less than every number in the second subset.
| 3. How can rational numbers be represented geometrically? | |
Ans. Rational numbers can be represented geometrically on a number line. Each rational number corresponds to a point on the line, where the distance of the point from the origin represents the magnitude of the number.
| 4. What is the difference between rational numbers and irrational numbers? | |
Ans. Rational numbers can be expressed as fractions and can be written as terminating or repeating decimals. Irrational numbers, on the other hand, cannot be expressed as fractions and have non-repeating, non-terminating decimal representations.
| 5. Can rational numbers be negative? | |
Ans. Yes, rational numbers can be negative. A rational number can be positive, negative, or zero. It can be written with a negative sign before the fraction or as a negative numerator.
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Nov 22, 2024 Last updated |
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