NCERT Solutions Class 9 Maths Chapter 1 Numbers Systems

NCERT Solutions Class 9 Maths Chapter 1 Numbers Systems

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                           NUMBER SYSTEMS  

                                   Real Numbers

Real numbers is the combinations of Rational and Irrational Numbers.

1-Rational Numbers                                   2- Irrational Numbers



                                      

Rational Numbers 

A Number which can written or express in the form of p/q where p &q are any Integers And denominator q0 

Example- 2/3, 0/1, 3/5, 7/1 etc.

Note-  1/0 is not a rational, because denominator is zero.

Facts of Rational Numbers

All Natural Numbers are Rational

All whole Numbers are Rational

All Integers are Rational

All Even Numbers are Rational

All Odd Numbers are Rational

All Composite Numbers are Rational

All Prime Numbers are Rational.

Some Decimal Numbers are Rational(Only terminating and repeating decimals)

Decimal Numbers

 

1. Terminating decimal numbers

 Example:-  

a-  23.254546

b-   89.246474

2.  Non - terminating decimal numbers

a- Recurring Decimal Numbers

      These decimal have infinite digit After the decimal and Some digits are repeated at equal interval

Example:-
1.666666....
125.234234234234.....
3.14285714285..

Recurring Decimal Numbers can be Pure periodic decimals or Ultimately period decimal numbers

Pure periodic decimals

1.33333..= 

0.555555..=  

Ultimately period decimal

 34.12666..=  
 6.178888..=  

b-  Non -recurring decimal numbers

These are non -terminating, non -repeating decimal numbers.

And decimal place digits not in a specific order also found an infinite number of digits between decimal places

 Example

21.234345686856...

12.987865234324642...

67.9373726432

Irrational Numbers

A number which can not written or Express as fraction( p/q) is called Irrational Numbers.

Example:-

 , ,  

Note- All non -terminating, non -repeating decimal numbers are Irrational Numbers because we can not represent these decimals in Fraction or p/q form

  

In Number System Class 9 we will  Know About

1.1 Introduction 

1.2 Irrational Numbers 

1.3 Real Numbers and their Decimal Expansions 

1.4 Representing Real Numbers on the Number Line 

1.5 Operations on Real Numbers 

1.6 Laws of Exponents for Real Numbers 

1.7 Summary






                              Number System Chapter 1 Solutions

You Can Download Maths PDF Solutions of Chapter 1 Number Systems Class 9 

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