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Introduction to Number System Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Introduction to Number System Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What are the different types of numbers in mathematics? |  |
Ans. In mathematics, numbers can be classified into several types: natural numbers (1, 2, 3,...), whole numbers (0, 1, 2, 3,...), integers (...,-3, -2, -1, 0, 1, 2, 3,...), rational numbers (fractions like 1/2, -4/5), and irrational numbers (like √2, π). Each type serves a different purpose in mathematical operations and concepts.
| 2. How do you differentiate between rational and irrational numbers? | |
Ans. Rational numbers can be expressed as a fraction where both the numerator and denominator are integers, and the denominator is not zero (e.g., 1/2, -3). In contrast, irrational numbers cannot be expressed as a simple fraction. They have non-repeating and non-terminating decimal expansions (e.g., √2, π).
| 3. What are prime and composite numbers? | |
Ans. Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves (e.g., 2, 3, 5, 7). Composite numbers are natural numbers greater than 1 that have more than two positive divisors (e.g., 4, 6, 8, 9).
| 4. Can you explain what whole numbers are and how they differ from natural numbers? | |
Ans. Whole numbers are a set of numbers that include all natural numbers and the number zero (0, 1, 2, 3,...). The primary difference between whole numbers and natural numbers is that natural numbers do not include zero, while whole numbers do.
| 5. What is the significance of classifying numbers in mathematics? | |
Ans. Classifying numbers helps in understanding their properties and relationships, which is crucial for performing mathematical operations, solving equations, and applying concepts in various fields like science and engineering. It also aids in identifying which types of numbers can be used in certain mathematical contexts, such as calculations involving fractions or roots.
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Video Description: Introduction to Number System for CAT 2025 is part of Quantitative Aptitude (Quant) preparation.
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