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1
Number Systems
This section introduces different types of numbers in the number system, including natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
1.1
Introduction
The introduction to number systems discusses the classification of numbers, including natural numbers, whole numbers, integers, rational numbers, and the concept of rational and irrational numbers.
1.2
Irrational Numbers
This section explores the concept of irrational numbers, which cannot be expressed as a ratio of integers, and contrasts them with rational numbers.
1.3
Real Numbers And Their Decimal Expansions
This section explores the decimal expansions of real numbers, distinguishing between rational and irrational numbers.
1.4
Operations On Real Numbers
This section covers the operations involving real numbers, specifically focusing on the properties of rational and irrational numbers under addition, subtraction, multiplication, and division.
1.5
Laws Of Exponents For Real Numbers
This section introduces the laws of exponents for real numbers, covering operations with positive rational exponents and their extensions.
1.6
Summary
This section covers the essential definitions, properties, and characteristics that distinguish rational and irrational numbers, emphasizing their roles within the broader category of real numbers.