- Natural Numbers:
Natural
numbers are counting numbers. They are denoted by ‘N’.
N = {1, 2, 3, …}
- Whole Numbers:
All natural
numbers and zero form the set of whole numbers. Whole numbers are denoted by ‘W’.
W = {0, 1, 2, 3, …}
- Integers:
Whole
numbers and negative numbers form the set of integers. They are denoted by ‘I’.
I = {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}
- Even Numbers:
A counting
number which is divisible by 2, is called an even number.
0, 2, 4, 6, 8, 10, … etc.
- Odd Numbers:
A counting
number which is not divisible by 2, is known as ODD number.
1, 3, 5, 7, … etc.
- Prime Numbers:
A counting number is called a prime number when it is
exactly divisible by 1 and itself.
2, 3, 5, 7, 11, 13, … etc.
- Composite Numbers:
Composite numbers are non-prime natural numbers. They must
have at least one factor apart from and
itself.
4, 6, 8, 9 etc.
- Coprimes:
Two natural numbers are said to be Coprimes, if their HCF is
1.
(7, 9), (15, 16)
- Rational Numbers:
A number that can be expressed as p/q is called a rational
number, p and q are integers and p ≠ 0.
3/5, 7/9, 8/9 etc.
- Irrational Numbers:
The numbers that cannot be expressed in the form of p/q are
called irrational
√2, √3, √7 etc.
- Real Numbers:
Real Numbers include rational and irrational numbers both.
7/9, √2, √5, ∏, 8/9 etc.
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