NUMBER SYSTEM
NUMBER SYSTEM
Natural Numbers:
Natural Numbers:
Numbers which we use for counting the objects are known as natural numbers. They are denoted by ‘N’
N = {1,2,3,4,…….}
N = {1,2,3,4,…….}
Whole Numbers:
When we include ‘zero’ in the natural numbers, it is known as whole numbers. They are denoted by ‘W’.
W= {0,1,2,3,4,5,………}
W= {0,1,2,3,4,5,………}
Prime Numbers:
A number other than 1 is called a prime number if it is divisible only by 1 and itself.
If you want to test whether any number is a prime number or not, take an integer larger than the approximate square root of that number. Let it be ‘x’. test the divisibility of the given number by every prime number less than ‘x’. if it not divisible by any of them then it is prime number; otherwise it is a composite number (other than prime).
Example: Is 349 a prime number?
The square root of 349 is approximate 19. The prime numbers less than 19 are 2, 3, 5, 7, 11, 13, 17.
Clearly, 349 is not divisible by any of them. Therefore, 349 is a prime number.
If you want to test whether any number is a prime number or not, take an integer larger than the approximate square root of that number. Let it be ‘x’. test the divisibility of the given number by every prime number less than ‘x’. if it not divisible by any of them then it is prime number; otherwise it is a composite number (other than prime).
Example: Is 349 a prime number?
The square root of 349 is approximate 19. The prime numbers less than 19 are 2, 3, 5, 7, 11, 13, 17.
Clearly, 349 is not divisible by any of them. Therefore, 349 is a prime number.
Composite Numbers:
A number, other than 1, which is not a prime number is called a composite number.
e.g. 4, 6, 8, 9, 12, 14 ...... and so on
e.g. 4, 6, 8, 9, 12, 14 ...... and so on
Even Number:
The number which is divisible by 2 is known as an even number.
e.g. 2, 4, 8, 12, 24, 28 ...... and so on
It is also of the form 2n {where n = whole number}
e.g. 2, 4, 8, 12, 24, 28 ...... and so on
It is also of the form 2n {where n = whole number}
Odd Number:
The number which is not divisible by 2 is known as an odd number.
e.g. 3, 9, 11, 17, 19 ...... and so on
e.g. 3, 9, 11, 17, 19 ...... and so on
Consecutive Number:
A series of numbers in which each is greater than that which precedes it be 1 is called a series of consecutive numbers.
e.g. 6, 7, 8 or 13, 14, 15, 16 or, 101, 102, 103, 104
e.g. 6, 7, 8 or 13, 14, 15, 16 or, 101, 102, 103, 104
Integers:
The set of numbers which consists of whole numbers and negative numbers is known as a set of integers it is denoted by 1.
e.g. I = {-4,-3,-2,-1,0,1,2,3,….}
e.g. I = {-4,-3,-2,-1,0,1,2,3,….}
Rational Number:
When the numbers are written in fraction, they are known as rational numbers. They are denoted by Q.
e.g. a/b are called rational numbers.
Or, the numbers which can be written in the form a/b {where a and b are integers and b is not equal to 0} are called rational numbers.
e.g. a/b are called rational numbers.
Or, the numbers which can be written in the form a/b {where a and b are integers and b is not equal to 0} are called rational numbers.
Irrational Numbers:
The numbers which cannot be written in the form of p/q are known as irrational numbers (where p and q are integers and q is not equal to 0).
Real Numbers:
The numbers both rational and irrational numbers are called real numbers
posted by SNREDDY @ February 14, 2020
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