In mathematics there are different type of numbers.In this post we prove a short view regarding to the type of numbers in maths.all the exams contains the aptitude section and without knowing the numbers system of math it is little tough to give answer correctly. Different type of number system are as follows:
1). 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. are called Digits.
2). 10, 11, 12,----- are called Number.
3). Natural number (N) :- Counting numbers are called natural numbers.
Example:- 1, 2, 3,---etc. are all natural numbers. minimum natural number 1 and maximum natural number ∞
4). Whole numbers (W) :- All counting numbers together with zero from the set of whole numbers
Example:- 0, 1, 2, 3, 4, ------ are whole number.
5). Integers (Z) :- All counting numbers, 0 and -ve of counting numbers are called integers.
Example:- -∞---------, -3, -2, -1, 0, 1, 2, 3, -------∞
6). Rational Numbers (Q) :- A Rational Number is a real number that can be written as a simple fraction
Example:- {p/q/p,q∈Z}
7). Irrational Numbers :- An Irrational Number is a real number that cannot be written as a simple fraction.
Example:- √
8). Even numbers :- A number divisible by 2 is called an even number.
Example:- 0, 2, 4, 6, - - - - - - - - -
9). Odd numbers :- A number not divisible by 2 is called an odd number.
Example:- 1, 3, 5, 7, - - - - - -
10). Composite Numbers :- Numbers greater than 1 which are not prime, are called composite numbers.
Example:- 4, 6, 8, 9, 10, - - - -. 6 -> 1,2,3,6.
11). Prime Numbers:- A number greater than 1 having exactly two factors, namely 1 and itself is called a prime number.
Example:- Upto 100 prime numbers are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 71, 73, 79, 83, 89, 97
12). Co-prime Numbers:- Two natural numbers a and b are said to be co-prime if their HCF is 1.
Example:- (21, 44), (4, 9), (2, 3), - - - - -
13). Twin prime numbers :- A pair of prime numbers (as 3 and 5 or 11 and 13) differing by two are called twin prime number.
Example:- The twin pair primes between 1 and 100 are
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73).
2). 10, 11, 12,----- are called Number.
3). Natural number (N) :- Counting numbers are called natural numbers.
Example:- 1, 2, 3,---etc. are all natural numbers. minimum natural number 1 and maximum natural number ∞
4). Whole numbers (W) :- All counting numbers together with zero from the set of whole numbers
Example:- 0, 1, 2, 3, 4, ------ are whole number.
5). Integers (Z) :- All counting numbers, 0 and -ve of counting numbers are called integers.
Example:- -∞---------, -3, -2, -1, 0, 1, 2, 3, -------∞
6). Rational Numbers (Q) :- A Rational Number is a real number that can be written as a simple fraction
Example:- {p/q/p,q∈Z}
7). Irrational Numbers :- An Irrational Number is a real number that cannot be written as a simple fraction.
Example:- √
8). Even numbers :- A number divisible by 2 is called an even number.
Example:- 0, 2, 4, 6, - - - - - - - - -
9). Odd numbers :- A number not divisible by 2 is called an odd number.
Example:- 1, 3, 5, 7, - - - - - -
10). Composite Numbers :- Numbers greater than 1 which are not prime, are called composite numbers.
Example:- 4, 6, 8, 9, 10, - - - -. 6 -> 1,2,3,6.
11). Prime Numbers:- A number greater than 1 having exactly two factors, namely 1 and itself is called a prime number.
Example:- Upto 100 prime numbers are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 71, 73, 79, 83, 89, 97
12). Co-prime Numbers:- Two natural numbers a and b are said to be co-prime if their HCF is 1.
Example:- (21, 44), (4, 9), (2, 3), - - - - -
13). Twin prime numbers :- A pair of prime numbers (as 3 and 5 or 11 and 13) differing by two are called twin prime number.
Example:- The twin pair primes between 1 and 100 are
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73).
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