Convert decimal expansion in rational form p/q wehere q is not zero | Rational Form

http://www.learncbse.in/

http://www.learncbse.in/ncert-solutions-for-class-9-maths/

http://www.learncbse.in/rd-sharma-class-9th-solutions/

In the above discussion, we have seen that a rational number of the form has either a

terminating decimal expansion or a non - terminating repeating decimal expansion and

conversely that a terminating or a non - terminating and repeating decimal expansion can

be converted into the form p/q , where p and q are integers , and q is not zero 0 .

A terminating or a non - terminating and repeating decimal expansion can be converted into the form p/q, where p and q are integers , and q is not 0 .

00:02 Q3. Express the following in the form p/q, where p and q are integers and q is not 0.

00:18 (i) Express decimal form of a number 0.6666.. in rational form p/q.

00:39 Multiplying both sides of equation by 10.

Here, one digit 6 is repeating

02:05 rational form p/q of decimal form 0.6666....

02:15 (ii) Convert decimal form of a number 0.477777 in rational form p/q .

04:34 rational number of decimal expansion 0.477777 is 43/90.

(iii) Write decimal form of a number 0.001001001001.... in rational form p/q

05:26 Multiplying both sides of equation by 1000.

Here, three digits 001 is repeating.

A number whose decimal expansion is terminating or non-terminating recurring is rational.

06:52 Q4. Express decimal expansion 0.99999 .... in the rational form p/q. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.

07:49 Multiplying both sides of equation by 10.

Here, one digit 9 is repeating

08:11 Subtract one equation from other

08:04 rational form p/q of decimal expansion 0.99999 .... is 1.

ecimal Expansion of Rational Numbers

Let us explain the process process of long division through some examples:

We apply the process of long division and obtain the decimal expansions as

shown below:

First find the decimal expansion of positive number and then put (-) sign

we first find the decimal expansion of positive numbers 5/3 and then put a bar '-'

sign in the result.

Let us now learn to express decimal form of a number in rational form p/q where p and q

are integers and q is not 0.

when the decimal expansion is terminating

When the decimal expansion is non-terminating repeating

In the above discussion, we have seen that a rational number of the form p/q has either a

terminating decimal expansion or a non - terminating repeating decimal expansion and

conversely that a terminating or a non - terminating and repeating decimal expansion can

be converted into the form p/q, where p and q are integers , and q is not 0 .

Real Numbers and their Decimal Expansions

rational and irrational numbers

decimal expansions of real numbers

use the expansions to distinguish between rationals and irrationals

how to visualise the representation of real numbers on the number line using their decimal expansions.

Find the decimal expansions of

Follow us:

On Twitter

https://twitter.com/cbseguesspapers

Linkedin

https://www.linkedin.com/profile/view?id=396397973&trk=nav_responsive_tab_profile

Pinterest

https://in.pinterest.com/LearnCBSE/

Facebook

https://www.facebook.com/cbseguesspapers

Youtube LearnCBSE.in

https://www.youtube.com/user/CBSEPapers

Wordpress

https://cbselabs.wordpress.com/

learncbse.in

cbse ncert solutions for class 9 maths Chapter 1 Number Syatems

cbse class 9 maths ncert solutions Number Syatems

cbse class 10 maths ncert solutions

cbse class 9 maths solutions

cbse ncert solutions for class 9 maths Chapter 1

cbse class 9 maths sample papers sa1

Rational numbers | Irrational numbers | Rationalization | Real line | Real numbers

cbse maths for class 9 solutions Number Syatems

NCERT Solutions Class 9 Maths Chapter 1 Number Syatems

CBSE class 9 maths NCERT Solutions Chapter 2 Number Syatems Exercise 1.2

NCERT solutions for CBSE class 9 maths Number Syatems

ICSE class 9 maths Number Syatems

Common core Math Number Syatems

Tagged under: ncert solutions,learncbse.,gyanpub,Number Syatems,Common core,NCERT Solutions Class 9 Maths,decimal expansion,rational form /,Rational Form decimal,Real Numbers Decimal Expansions,real numbers

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!