This document defines and categorizes different types of real numbers. It explains that natural numbers only include positive whole numbers starting from 1, while whole numbers also include 0. Integers include all negative and positive whole numbers as well as 0. Rational numbers comprise all integers and fractions, while irrational numbers are any numbers that cannot be expressed as a fraction.

2. Chapter 4
Real Numbers

3. Real Numbers

4. NATURAL NUMBERS
 Numbers 1,2,3………… are known as Natural numbers

5. WHOLE NUMBERS
 Numbers 0,1,2,3,………..are called whole numbers

6. INTEGERS (Z)
 Negative numbers,zero,positive numbers are
collectively known as integers

7. RATIONAL NUMBERS
 Natural numbers,whole numbers,integers and
fractions are collectively called as Rational Numbers

8. IRRATIONAL NUMBERS
 A number that is not rational is called irrational
numbers

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