Understanding number system from "summary" of RRB ALP Exam PDF-RRB Assistant Loco Pilot Exam-CBT-1-Mathematics Subject eBook by Chandresh Agrawal,Nandini Books
The number system is a fundamental concept in mathematics that involves the study of numbers and their properties. It is essential to have a clear understanding of the number system to solve mathematical problems effectively. The number system is divided into different categories such as natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
Natural numbers are the numbers we use for counting, such as 1, 2, 3, 4, and so on. Whole numbers include natural numbers along with zero, such as 0, 1, 2, 3, and so forth. Integers are a set of whole numbers and their negatives, including numbers like -3, -2, -1, 0, 1, 2, 3, and so on. Rational numbers are numbers that can be expressed as a ratio of two integers, like 1/2, 3/4, 5/6, etc.
Irrational numbers are numbers that cannot be expressed as a ratio of two integers, such as π (pi) and √2 (square root of 2). Real numbers comprise all rational and irrational numbers on the number line. Understanding the properties and relationships between these different types of numbers is crucial for solving mathematical problems involving calculations, equations, and inequalities.
Having a firm grasp of the number system allows mathematicians to perform operations like addition, subtraction, multiplication, and division efficiently. It also helps in solving complex equations, simplifying expressions, and representing quantities in various forms. By mastering the number system, individuals can enhance their mathematical skills and tackle challenging problems with confidence.A deep understanding of the number system is essential for students and professionals in various fields like engineering, science, economics, and finance. It forms the foundation for advanced mathematical concepts and plays a vital role in problem-solving and logical reasoning. Therefore, it is crucial to study and practice the number system thoroughly to excel in mathematics and related disciplines.
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