CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Classification of Numbers
Classification of Numbers Video Lecture | Quantitative Aptitude (Quant)
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196 videos|131 docs|110 tests
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FAQs on Classification of Numbers Video Lecture - Quantitative Aptitude (Quant)
| 1. What are the different types of numbers in mathematics? |  |
Ans. In mathematics, numbers can be classified into several types: natural numbers (positive integers starting from 1), whole numbers (natural numbers including 0), integers (whole numbers and their negatives), rational numbers (numbers that can be expressed as a fraction of two integers), and irrational numbers (numbers that cannot be expressed as a simple fraction, like √2 or π).
| 2. How do you identify rational and irrational numbers? | |
Ans. Rational numbers can be identified as those that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Irrational numbers cannot be expressed in such a way; for example, the decimal representation of irrational numbers goes on forever without repeating.
| 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). The number 1 is neither prime nor composite.
| 4. What is the significance of zero in the classification of numbers? | |
Ans. Zero is significant because it serves as the additive identity in mathematics, meaning any number added to zero remains unchanged. It is classified as a whole number but is not considered a natural number. Zero also plays a crucial role in defining the concept of integers and rational numbers.
| 5. Can a number be both rational and irrational? | |
Ans. No, a number cannot be both rational and irrational. A rational number is defined as one that can be expressed as a fraction of two integers, while an irrational number cannot be expressed in this way. Thus, a number can only fall into one of these categories at a time.
About this Video
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Nov 21, 2024 Last updated |
Video Description: Classification of Numbers for CAT 2024 is part of Quantitative Aptitude (Quant) preparation.
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