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Real Numbers : CBSE Class 10 X Maths Video Lecture
FAQs on Real Numbers : CBSE Class 10 X Maths Video Lecture
| 1. What are real numbers? |  |
Ans. Real numbers are the numbers that represent both rational and irrational numbers. They include integers, decimals, fractions, and square roots of non-perfect squares. Real numbers can be positive, negative, or zero.
| 2. How are real numbers represented on a number line? | |
Ans. Real numbers are represented on a number line as points. Each point corresponds to a specific real number. The number line extends infinitely in both directions, with zero at the center. Positive numbers are placed to the right of zero, while negative numbers are placed to the left.
| 3. What is the difference between rational and irrational numbers? | |
Ans. Rational numbers are those that can be expressed as a fraction or a ratio of two integers. They can be terminating or repeating decimals. On the other hand, irrational numbers cannot be expressed as a fraction and have non-repeating decimal expansions. Examples of irrational numbers include square roots of non-perfect squares and the number π.
| 4. How can real numbers be classified? | |
Ans. Real numbers can be classified into different groups based on their properties. Some common classifications include natural numbers (positive integers), whole numbers (including zero), integers (positive and negative numbers including zero), rational numbers, and irrational numbers. These classifications help in better understanding and organizing real numbers.
| 5. What operations can be performed on real numbers? | |
Ans. Various operations can be performed on real numbers, including addition, subtraction, multiplication, and division. Real numbers follow the commutative, associative, and distributive properties. These operations can be carried out using the number line, calculation methods, or algebraic expressions.
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Nov 28, 2024 Last updated |
Real Numbers : CBSE Class 10 X Maths for Class 102024 is part of Class 10 preparation. The notes and questions for Real Numbers : CBSE Class 10 X Maths
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