Number Groups

 Understanding the Basics

Before going on to the worksheets of numbers let’s have a look into the different types of numbers. Numbers are abstract symbols used to represent quantities, values, or measurements. They can be classified into various categories based on their properties and characteristics.

Key Types of Numbers

1. Natural Numbers: These are the counting numbers, starting from 1 and going on indefinitely (1, 2, 3, 4, ...).
2. Whole Numbers: Whole numbers include natural numbers and zero (0, 1, 2, 3, ...).
3. Integers: Integers encompass whole numbers and their negative counterparts (-3, -2, -1, 0, 1, 2, 3, ...).
4. Rational Numbers: Rational numbers can be expressed as a fraction, where the numerator and denominator are integers (e.g., 1/2, -3/4, 0.75).
5. Irrational Numbers: Irrational numbers cannot be expressed as a simple fraction. They have non-terminating, non-repeating decimal expansions (e.g., √2, π, e).
6. Real Numbers: Real numbers include both rational and irrational numbers. They represent all points on a number line.
7. Complex Numbers: Complex numbers are composed of a real part and an imaginary part. They are often represented as a + bi, where a and b are real numbers, and i is the imaginary unit (√-1).

Examples and Applications

• Natural Numbers: Counting objects, items, or people.
• Whole Numbers: Measuring quantities, such as the number of apples or the length of a rope.
• Integers: Representing profit, loss, temperature, or elevation.
• Rational Numbers: Expressing fractions, decimals, or ratios.
• Irrational Numbers: Describing geometric quantities, like the diagonal of a square or the circumference of a circle.
• Real Numbers: Representing any quantity that can be measured on a number line.
• Complex Numbers: Used in electrical engineering, physics, and mathematics for calculations involving imaginary quantities.

 Worksheets....

1. Even and Odd Numbers 

Worksheet 01

Worksheet 02