Class 9 Exam > Class 9 Videos > Mathematics (Maths) Class 9 > Detailed Explanation: Real Numbers
Detailed Explanation: Real Numbers Video Lecture | Mathematics (Maths) Class 9
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FAQs on Detailed Explanation: Real Numbers Video Lecture - Mathematics (Maths) Class 9
| 1. What are real numbers and how are they different from other types of numbers? |  |
Ans. Real numbers are a set of numbers that include all rational and irrational numbers. They can be represented on a number line and are used to measure quantities. Unlike other types of numbers, real numbers can be positive, negative, or zero, and they can also include fractions, decimals, and irrational numbers such as √2 or π.
| 2. How can real numbers be classified? | |
Ans. Real numbers can be classified into different categories based on their properties. They can be classified as natural numbers (1, 2, 3, ...), whole numbers (0, 1, 2, ...), integers (-∞, ..., -2, -1, 0, 1, 2, ...), rational numbers (fractions and terminating or repeating decimals), and irrational numbers (non-repeating and non-terminating decimals such as √2 or π).
| 3. Can every real number be represented as a fraction? | |
Ans. No, not every real number can be represented as a fraction. Rational numbers are those that can be expressed as fractions, but there are real numbers that cannot be written in the form of a fraction. These numbers are called irrational numbers, and they include non-repeating and non-terminating decimals such as √2 or π.
| 4. How can real numbers be used in real-life situations? | |
Ans. Real numbers are used in various real-life situations for measurement, calculation, and comparison. They are used in fields such as physics, engineering, finance, and statistics. For example, real numbers are used to measure distances, time, temperature, and quantities of money. They are also used in calculating interest rates, solving mathematical equations, and analyzing data.
| 5. What is the significance of the number line in understanding real numbers? | |
Ans. The number line is a visual representation of real numbers and plays a crucial role in understanding their properties and relationships. It allows us to plot real numbers and visualize their positions relative to each other. The number line helps in comparing numbers, understanding concepts like positive and negative numbers, and performing operations such as addition, subtraction, multiplication, and division on real numbers.
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Nov 22, 2024 Last updated |
Video Description: Detailed Explanation: Real Numbers for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
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