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- Books Name
- MD AFZAL AHMAD Mathematics Book
- Publication
- MD AFZAL AHMAD
- Course
- CBSE Class 6
- Subject
- Mathmatics
Introduction:-
Counting Numbers: -The numbers which we can count. Like 1, 2, 3, 9, 37 etc.
Natural Numbers: -The numbers which we can count and it starts from 1 and goes on. Like 1, 2, 3, 4, …….100, …….2000, …………... etc.
Whole Numbers: -The counting numbers which starts from Zero are called whole numbers and goes on. Like 0, 1, 2, 3, 4, …….100, …….2000, …………... etc.
Integers: -Integers are the collection of whole numbers and negative numbers. Integers can be positive numbers, Zero and negative numbers but it cannot be a fraction. Like -229, -85, -16, -5, -1, 0, 1, 5, 29, 219, 5000 etc.
Even Numbers: -The numbers which are completely divisible by 2. It means those numbers which we divide by 2, remainder becomes Zero (0). Like 2, 4, 6, 22, 100, 294, 604 etc
Smallest Even number is 2.
Odd Numbers: - The numbers which are not completely divisible by 2. It means those numbers which we divide by 2, remainder becomes One (1). Like 1,3, 5, 7, 21, 101, 299, 1001 etc
Smallest Odd number is 1.
Composite Number: -A composite number is a natural number or positive integers which has more than two factors.
It means the given number is completely divisible by more than two numbers. Like 6, which is completely divisible by 1, 2, 3 and 6. It means 6 has four factors.
Example: - 4, 6, 8, 10, 12, 256 etc.
Smallest composite number is 4.It has three factors, these are 1,2, 4.
Prime Number: -A prime number is a natural number that is completely divisible by 1 and the number itself. Prime number has only two factors these are 1 and the number itself.
Like 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 etc.
Smallest prime number is 2.
Twin Prime Number: -Two prime numbers are called twin prime, if there is present only one composite number between them.Like {3,5}, {5,7}, {11,13}, {17,19}, {29,31}, {41,43} etc. Two consecutive prime number can be twin primes.
{2,3} is not a twin prime number, because there is no composite number in between them.
Co-prime Number: -Two numbers are co-prime, if they have no common factor other than 1 or we can say that the HCF (Highest Common Factor) of these numbers is 1.Like {1,3}, {4,5}, {13,31}, {18, 35}, {15,17}, {29,30}.
It is not necessary that these numbers should be prime.
