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Example - Locating Irrational Numbers on a Number Line Video Lecture - Class 9
FAQs on Example - Locating Irrational Numbers on a Number Line Video Lecture - Class 9
| 1. 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. Examples of irrational numbers include √2, π, and e.
| 2. How can we locate irrational numbers on a number line? | |
Ans. To locate irrational numbers on a number line, we can approximate their decimal values and mark them accordingly. For example, to locate √2, we can approximate its decimal value to 1.41 and mark this point on the number line.
| 3. Are there any specific patterns or characteristics of irrational numbers on a number line? | |
Ans. Yes, irrational numbers on a number line do exhibit certain patterns. They are usually found between two consecutive integers and can be identified as points that lie between the marks of these integers. Additionally, irrational numbers are densely packed on the number line, meaning that there are infinitely many irrational numbers between any two rational numbers.
| 4. Can we represent irrational numbers as fractions or ratios? | |
Ans. No, irrational numbers cannot be represented as fractions or ratios. This is because they have an infinite number of non-repeating and non-terminating decimal places, which cannot be expressed as a finite fraction.
| 5. How are irrational numbers different from rational numbers? | |
Ans. Irrational numbers are different from rational numbers in terms of their representation. Rational numbers can be expressed as fractions or ratios, while irrational numbers cannot. Rational numbers can be represented as terminating or repeating decimals, while irrational numbers are non-terminating and non-repeating decimals. Additionally, irrational numbers cannot be written as a ratio of two integers.
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