Types of Numbers (āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻĒā§ā§°āĻāĻžā§°)
1. Natural Numbers (āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž : Numbers that start from 1 and increase infinitely. (ā§§ā§° āĻĒā§°āĻž āĻā§°āĻŽā§āĻ āĻšā§ āĻ āĻ¸ā§āĻŽāĻ˛ā§āĻā§ āĻŦāĻžāĻĸāĻŧāĻŋ āĻ¯ā§ā§ąāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ : 1, 2, 3, 4, 5, ...
Use / āĻŦā§āĻ¯ā§ąāĻšāĻžā§° : Used for counting. (āĻŦāĻ¸ā§āĻ¤ā§ āĻāĻŖāĻ¨āĻž āĻā§°āĻŋāĻŦāĻ˛ā§ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻž āĻšāĻ¯āĻŧāĨ¤)
2. Whole Numbers (āĻĒā§ā§°ā§āĻŖ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž : Natural numbers including 0. (ā§Ļ-āĻ¸āĻš āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻĒā§ā§°ā§āĻŖ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ: 0, 1, 2, 3, 4, 5, ...
3. Even Numbers (āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž : Numbers that are exactly divisible by 2. (ā§¨ā§°ā§ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖāĻāĻžā§ąā§ āĻšā§°āĻŖ āĻā§°āĻŋāĻŦ āĻĒā§°āĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ : 0, 2, 4, 6, 8, 10, ...
Note / āĻā§āĻāĻž : No remainder when divided by 2. (ā§¨ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋāĻ˛ā§ āĻā§āĻ¨ā§ āĻ ā§ąāĻļāĻŋāĻˇā§āĻ āĻ¨āĻžāĻĨāĻžāĻā§āĨ¤)
4. Odd Numbers (āĻ āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž : Numbers that are not exactly divisible by 2. (ā§¨ā§°ā§ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖāĻāĻžā§ąā§ āĻšā§°āĻŖ āĻā§°āĻŋāĻŦ āĻ¨ā§ā§ąāĻžā§°āĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻ āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ : 1, 3, 5, 7, 9, 11, ...
Note / āĻā§āĻāĻž : They leave a remainder when divided by 2. (ā§¨ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋāĻ˛ā§ āĻ ā§ąāĻļāĻŋāĻˇā§āĻ āĻĨāĻžāĻā§āĨ¤)
5. Prime Numbers (āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž: Numbers that can be divided only by 1 and themselves.āĻ¯āĻŋāĻŦā§ā§° āĻ¸āĻāĻā§āĻ¯āĻžāĻ āĻā§ā§ąāĻ˛ ā§§ āĻā§°ā§ āĻ¨āĻŋāĻā§ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋāĻŦ āĻĒāĻžā§°āĻŋ, (āĻ¸ā§āĻāĻŦā§ā§° āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ : 2, 3, 5, 7, 11, 13, 17, ...
Note / āĻā§āĻāĻž: Prime numbers have exactly two factors. (āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻ āĻŋāĻ āĻĻā§āĻāĻž āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ āĻĨāĻžāĻā§āĨ¤)
6. Composite Numbers (āĻ¯ā§āĻāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž: Numbers that have factors other than 1 and themselves. (āĻ¯āĻŋāĻŦā§ā§° āĻ¸āĻāĻā§āĻ¯āĻžā§° ā§§ āĻā§°ā§ āĻ¨āĻŋāĻāĻā§ āĻŦāĻžāĻĻ āĻĻāĻŋ āĻāĻ¨ āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻā§ āĻĨāĻžāĻā§, āĻ¸ā§āĻāĻŦā§ā§° āĻ¯ā§āĻāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ: 4, 6, 8, 9, 10, 12, ...
Note / āĻā§āĻāĻž: Composite numbers have more than two factors. (āĻ¯ā§āĻāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻĻā§āĻāĻžāĻ¤āĻā§ āĻ āĻ§āĻŋāĻ āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ āĻĨāĻžāĻā§āĨ¤)
7. Fractional Numbers (āĻāĻā§āĻ¨āĻžāĻāĻļ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž: Numbers that represent a part of a whole. (āĻāĻāĻž āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖ āĻŦāĻ¸ā§āĻ¤ā§ā§° āĻ āĻāĻļ āĻŦā§āĻā§ā§ąāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻāĻā§āĻ¨āĻžāĻāĻļ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ: 1/2, 1/4, 3/4, 5/8, ...
Note / āĻā§āĻāĻž: Represented as half, quarter, etc. (āĻāĻ§āĻž, āĻāĻ-āĻāĻ¤ā§ā§°ā§āĻĨāĻžāĻāĻļ āĻāĻĻāĻŋ ā§°ā§āĻĒāĻ¤ āĻĒā§ā§°āĻāĻžāĻļ āĻā§°āĻž āĻšāĻ¯āĻŧāĨ¤)
8. Decimal Numbers (āĻĻāĻļāĻŽāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž)
Definition / āĻ¸āĻāĻā§āĻāĻž: Numbers written with a decimal point. (āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāĻ¨ā§āĻĻā§ā§°ā§ āĻ˛āĻŋāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĻ āĻĻāĻļāĻŽāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ : 1.5, 2.75, 10.25, 0.5, ...
Note / āĻā§āĻāĻž: They show a combination of a whole number and a fraction. (āĻ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖ āĻ¸āĻāĻā§āĻ¯āĻž āĻā§°ā§ āĻāĻā§āĻ¨āĻžāĻāĻļā§° āĻ¸āĻāĻŽāĻŋāĻļā§ā§°āĻŖ āĻĻā§āĻā§ā§ąāĻžāĻ¯āĻŧāĨ¤)
Memory Tip (āĻŽāĻ¨āĻ¤ ā§°āĻāĻžā§° āĻ¸āĻšāĻ āĻāĻĒāĻžāĻ¯āĻŧ): āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ → āĻĒā§ā§°ā§āĻŖ → āĻ¯ā§āĻā§āĻŽ → āĻ āĻ¯ā§āĻā§āĻŽ → āĻŽā§āĻ˛āĻŋāĻ → āĻ¯ā§āĻāĻŋāĻ → āĻāĻā§āĻ¨āĻžāĻāĻļ → āĻĻāĻļāĻŽāĻŋāĻ
Quick Summary (āĻāĻŽā§ āĻ¸āĻžā§°āĻžāĻāĻļ)
1. Natural Numbers (āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž): Start from 1 and continue infinitely. (ā§§ā§° āĻĒā§°āĻž āĻā§°āĻŽā§āĻ āĻšā§ āĻ āĻ¸ā§āĻŽāĻ˛ā§āĻā§ āĻāĻ˛āĻŋ āĻĨāĻžāĻā§āĨ¤). Ex: 1, 2, 3, 4, 5...
2. Whole Numbers (āĻĒā§ā§°ā§āĻŖ āĻ¸āĻāĻā§āĻ¯āĻž): Natural numbers including 0 (ā§Ļ-āĻ¸āĻš āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°āĨ¤). Ex: 0, 1, 2, 3, 4...
3. Even Numbers (āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž): Exactly divisible by 2. (ā§¨ā§°ā§ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖāĻāĻžā§ąā§ āĻāĻžāĻ āĻ¯āĻžāĻ¯āĻŧāĨ¤). Ex: 2, 4, 6, 8, 10...
4. Odd Numbers (āĻ āĻ¯ā§āĻā§āĻŽ āĻ¸āĻāĻā§āĻ¯āĻž): Not exactly divisible by 2. (ā§¨ā§°ā§ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖāĻāĻžā§ąā§ āĻāĻžāĻ āĻ¨āĻžāĻ¯āĻžāĻ¯āĻŧāĨ¤). Ex: 1, 3, 5, 7, 9...
5. Prime Numbers (āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž): Have exactly two factors: 1 and itself. (āĻā§ā§ąāĻ˛ ā§§ āĻā§°ā§ āĻ¨āĻŋāĻā§ā§°ā§ āĻāĻžāĻ āĻ¯āĻžāĻ¯āĻŧāĨ¤). Ex: 2, 3, 5, 7, 11...
6. Composite Numbers (āĻ¯ā§āĻāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž): Have more than two factors. (āĻĻā§āĻāĻžāĻ¤āĻā§ āĻ āĻ§āĻŋāĻ āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ āĻĨāĻžāĻā§āĨ¤). Ex: 4, 6, 8, 9, 10...
7. Fractional Numbers (āĻāĻā§āĻ¨āĻžāĻāĻļ āĻ¸āĻāĻā§āĻ¯āĻž): Represent a part of a whole. (āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖ āĻŦāĻ¸ā§āĻ¤ā§ā§° āĻāĻāĻž āĻ āĻāĻļ āĻŦā§āĻāĻžāĻ¯āĻŧāĨ¤). Ex: 1/2, 1/4, 3/4...
8. Decimal Numbers (āĻĻāĻļāĻŽāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž): Written using a decimal point. (āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāĻ¨ā§āĻĻā§ā§°ā§ āĻ˛āĻŋāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĨ¤). Ex: 1.5, 2.75, 10.25...