The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers. Let us see the table below to understand with the examples.
| Natural Numbers | N | 1, 2, 3, 4, 5, … |
| Whole Numbers | W | 0,1, 2, 3, 4, 5… |
| Integers | Z | …., -3, -2, -1, 0, 1, 2, 3, … |
| Rational Numbers | Q | p/q form, where p and q are integers and q is not zero. |
| Irrational Numbers | Which can’t be represented as rational numbers |
Natural Numbers
All the numbers starting from 1 till infinity are natural numbers, such as 1,2,3,4,5,6,7,8,…….infinity. These numbers lie on the right side of the number line and are positive.
Whole Numbers
All the numbers starting from 0 till infinity are whole numbers such as 0,1,2,3,4,5,6,7,8,9,…..infinity. These numbers lie on the right side of the number line from 0 and are positive.
Integers
Integers are the whole numbers which can be positive, negative or zero.
Example: 2, 33, 0, -67 are integers.
Rational Numbers
A number which can be represented in the form of p/q is called a rational number. For example, 1/2, 4/5, 26/8, etc.
Irrational Numbers
A number is called an irrational number if it can’t be represented in the form of ratio.
Example: √3, √5, √11, etc.
Real Numbers
The collection of all rational and irrational numbers is called real numbers. Real numbers are denoted by R.
Every real number is a unique point on the number line and also every point on the number line represents a unique real number.
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