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Irrational Numbers Video Lecture - Class 10
FAQs on Irrational Numbers Video Lecture - Class 10
| 1. What are irrational numbers? |  |
Ans. Irrational numbers are real numbers that cannot be expressed as a fraction of two integers. They are non-repeating and non-terminating decimal numbers, such as √2, √3, π, etc.
| 2. How do irrational numbers differ from rational numbers? | |
Ans. Irrational numbers and rational numbers differ in terms of their decimal representation. Rational numbers can be expressed as fractions or terminating decimals, while irrational numbers cannot be expressed in such a way and have non-repeating and non-terminating decimal expansions.
| 3. Can irrational numbers be negative? | |
Ans. Yes, irrational numbers can be both positive and negative. The sign of an irrational number depends on its position on the number line. For example, √2 is positive, while -√2 is negative.
| 4. How can we identify if a number is irrational? | |
Ans. One way to identify if a number is irrational is by checking if its decimal representation is non-repeating and non-terminating. Another way is to see if the number can be expressed as a fraction. If it cannot be expressed as a fraction, then it is irrational.
| 5. Can irrational numbers be approximated? | |
Ans. Yes, irrational numbers can be approximated using decimal approximations. For example, the value of √2 can be approximated as 1.414, but it is not exactly equal to this decimal. Irrational numbers can also be approximated using continued fractions or by using mathematical techniques.
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Dec 27, 2024 Last updated |
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