Innings2
Powered by Innings 2

Glossary

Select one of the keywords on the left…

Chapter 2: Sets > Introduction

Introduction

Understanding Classification and Organization

When describing a person, we often highlight their unique traits and accomplishments. Here are some examples:

  • Ramanujan was a brilliant mathematician known for his work in number theory.

  • Dasarathi was a renowned Telugu poet and also a freedom fighter.

  • Albert Einstein, originally from Germany, was a physicist who had a passion for music.

  • Maryam Mirzakhani was a mathematician and the only woman to win the prestigious Fields Medal.

In various fields, classification helps in better understanding and organization:

  • Science: Elements are grouped based on their properties.

  • Academics: Books are categorized by subjects for easy reference.

  • Mathematics: Topics are divided into different chapters to aid learning.

Human teeth are classified into types based on their functions:

1. Incisors – Used for cutting food.

2. Canines – Help in tearing food.

3. Premolars – Assist in grinding food.

4. Molars – Also used for grinding and chewing.

Each quadrant of the mouth follows the dental formula: 2, 1, 2,

where the numbers represent incisors, canines, premolars, and molars, respectively.

Just like in science, numbers are also categorized for better understanding:

  • Natural Numbers (N): 1, 2, 3, 4,...

  • Whole Numbers (W): 0, 1, 2, 3, 4, ... (includes zero)

  • Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ...(includes positive and negative numbers)

  • Rational Numbers (Q): Numbers that can be written as a fraction pq, where p and q are integers, and q ≠ 0.

  • Real Numbers (R): All numbers, including those with decimal expansions.

By organizing numbers into these groups, mathematical operations and problem-solving become more efficient and systematic.