numbers play an important role of in mathematics:
Type of number
1. Natural number
2. Whole number
3. Integer number
4. Rational number
5. Irrational number
1. Natural number:-
Natural numbers are also called counting numbers.
[ 1,2,3,4..etc are all natural numbers.]
[ It is denoted by the letter N.]
[ The smallest natural number is 1.]
2. Whole number:-
All natural number along with 0 are called whole numbers .
[ 0, 1, 2, 3, 4, 5..... etc are whole numbers.]
[ The set of whole numbers is denoted by the letter W. ]
[ The smallest whole number is 0.]
3. Integer number:
The whole numbers together with the negatives of counting or natural number are known as integers.
[The set of integers is denoted by the letter l.
-3,-2,-1, 0,1,2,3...... etc. are all integers.
1,2,3,4........ etc.are positive integers.
-1,-2,-3,-4,....... etc. are negative integers.
0 is neither positive nor negative.]
4. Rational number:
A number of the form p/q, where p and q are integers and p≠0, is called a rational number.
[ p is called the numerator and q is called the denominator of the rational number.
Thus, every rational number is the quotient of two integers such that the denominator is non-zero.]
[ the set of rational number is denoted by the letter Q.]
For examples: 1/2, -3/-4, x/y etc.
*Any number which can be express as p/q form.
5. Irrational number:
Number which when expressed in decimal form are expressible neither in terminating nor in repeating decimals are known as irrational numbers.
[ The symbol used to represent the irrational symbol is “P”]