**Number system tutorial**

Number system is system of representing numbers in mathematics. Students deal with various types of numbers for solving mathematics formulas and calculation, data processing and handling complex topics like algebra and geometry.

In this article, we have shared different types of numbers that are used in mathematics for grade 8 and above. This article can be used by all grades students, as the definition of these different types of numbers is same for all grades.

## What is Rational Number?

### Definition of rational number

- Any number that can be expressed as the quotient or fraction p/q of two integers is called rational number
- It can be both positive and negative

**Examples of rational number**

- -1.1, 6/5, 9 are example of rational number

**Practice question on whole number**

Can you find whether below mentioned numbers is rational number or not?

- 10
- 5
- 10/13
- -1.1
- -2/3
- 0
- 305

Send your solution of finding rational numbers to info@xamnation.com , and know detailed answer of this problem.

## What is Irrational number?

### Definition of Irrational number

- ll real numbers which are not rational, which mean cannot be expressed in p/q representation of two integers are called irrational number
- Integers cannot be integer, fraction and decimal

**Examples of Integer**

- Square root(2), cube root(5), Pi are example of irrational number
- 5, 10, 500, 3500 are not irrational number
- -5, -20, -45 are not irrational number
- 6 , 1/3 are not irrational number

**Practice question on irrational number**

Question: Can you find whether below mentioned number is irrational number or not?

- 10
- Square root(5)
- Pi
- -15
- 10/13
- -1.1

Send your solution of finding irrational number to info@xamnation.com , and know detailed answer of this problem.

## What is Counting number

### Definition of Counting number

- Any positive integer greater than 0 is counting number .
- Counting numbers are also called Natural numbers
- Counting number example- 1, 5, 50, 300

### Examples of counting number

- 1, 5, 10 are example of counting number
- 0, -10, 1/3 are not counting number

**Practice question on counting number**

Can you find whether below mentioned numbers is Counting number or not?

- 10
- 5
- -15
- 10/13
- -1.1

Send your solution of finding counting number to info@xamnation.com , and know detailed answer of this problem.

## Conclusion

In this article, we have seen how to find whether number is rational number, irrational number or counting number. We also saw detailed examples and practical exercises for number system for grade 8 mathematics.

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See Also – Math tuitions for Grade 8