3. REAL NUMBER SYSTEM
Q.WHAT IS REAL NUMBER SYSTEM?
THE SET OF RATIONAL NUMBERS AND IRRATIONAL
NUMBERS ARE CALLED THE SET OF REAL
NUMBERS.
Example-2,4,7, 5,
3
7 etc.
Q.What is rational number?
A NUMBER WHICH CAN BE REPRESENTED AS
𝑝
𝑞
,
P and q are any integers,q≠0, is called a rational number.
The set of rational numbers
Is denoted by Q.Example-2,4,
2
5
,
7
9
etc.rational numbers.
Q.What is irrational number.
Ans. A real number which cannot be represened as
𝑝
𝑞
,p,q
are any integers q≠0 is called a irrational
number.Example- 5,
3
7 .
4. What is the set of integers?
Ans= The positive & negative whole numbers including 0 is called the set of
integers .It is denoted by ℤ = {0, ±1, ±2, ±3, … … }.
What is the set of natural numbers?
Ans= The positve integers excluding 0 is called the set of natural numbers .
It is denoted by ℕ = {1,2,3,4 … . }.
What is prime numbers?
Ans= A number 𝑃 > 1 is called a prime number, which is divisible by P &
± 1 . Example- 2,5,7,11 etc. The number of prime numbers are infinite.
What is composite numbers?
Ans= The numbers except 1 of the set of natural numbers which are not
prime is called composite numbers. Example- 4,6,8,9,10 etc.
