In this slide we are going to study about Rational number, which is the first chapter of NCERT Class 8th Mathematics.
You can watch the complete description in video form on YouTube, in my channel
Based on Maths chapter 1 of class 8 it consists of every topic and a good explanation. Please read the full ppt. It will also teach you how to design a ppt also. so reading these is a good way of gaining knowledge. It consists of every topic in the book and can be used a a teaching purpose also.
INCLUDES ALL THE FORMULAS FOR SOLVING SUMS,DEPENDING UPON NCERT PUBLICATION FOR CLASS 8
MAKES STUDYING EASIER,USEFUL FOR MAKING PPT CAN USE TO MAKE PPT
To download -https://clk.ink/MS2T
this will lead to a google drive link./
its a ppt based on the topic no. system.
it covers all the basics of ninth class cbse.
In this slide we are going to study about Rational number, which is the first chapter of NCERT Class 8th Mathematics.
You can watch the complete description in video form on YouTube, in my channel
Based on Maths chapter 1 of class 8 it consists of every topic and a good explanation. Please read the full ppt. It will also teach you how to design a ppt also. so reading these is a good way of gaining knowledge. It consists of every topic in the book and can be used a a teaching purpose also.
INCLUDES ALL THE FORMULAS FOR SOLVING SUMS,DEPENDING UPON NCERT PUBLICATION FOR CLASS 8
MAKES STUDYING EASIER,USEFUL FOR MAKING PPT CAN USE TO MAKE PPT
To download -https://clk.ink/MS2T
this will lead to a google drive link./
its a ppt based on the topic no. system.
it covers all the basics of ninth class cbse.
School Project-Mathematics-properties of rational numbers, Square and square ...SwethaRM2
The properties of rational numbers, Square and square roots, cube and cube roots-
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.Since q may be equal to 1, every integer is a rational number.
This is meant for age group 11 to 14 years.
For Class VIII CBSE.
Some viewers have requested me to send the file through mail.
So I allowed everybody to download.My request is whenever you are using plz acknowledge me.
Pratima Nayak ,Teacher,Kendriya Vidyalaya,Fort William,Kolkata
pnpratima@gmail.com
Based on Text book
School Project-Mathematics-properties of rational numbers, Square and square ...SwethaRM2
The properties of rational numbers, Square and square roots, cube and cube roots-
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.Since q may be equal to 1, every integer is a rational number.
This is meant for age group 11 to 14 years.
For Class VIII CBSE.
Some viewers have requested me to send the file through mail.
So I allowed everybody to download.My request is whenever you are using plz acknowledge me.
Pratima Nayak ,Teacher,Kendriya Vidyalaya,Fort William,Kolkata
pnpratima@gmail.com
Based on Text book
Students learn to define and identify linear equations. They also learn the definition of Standard Form of a linear equation.
Students also learn to graph linear equations using x and y intercepts.
Tis is based on mathematics chapter 1 covering all properties you can revise anything from it it is very knowledgeable. It also covers some class 7 topics too. All your topics will be cleared from it.
Here is the presentation for Transport Layer Questions from the book Andrew S. Tanenbaum (Computer Networks) and B A Forouzan ( Data Communication and Networking)
Here is the presentation for Physical Layer Numericals from the book Andrew S. Tanenbaum (Computer Networks) and B A Forouzan ( Data Communication and Networking)
Here is the presentation for Network Layer Numericals from the book Andrew S. Tanenbaum (Computer Networks) and B A Forouzan ( Data Communication and Networking)
Here is the presentation for Data Link Layer Numericals from the book Andrew S. Tanenbaum (Computer Networks) and B A Forouzan ( Data Communication and Networking)
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
2. The integers which are in the form of
p/q where q is not equal to 0 are
known as Rational Numbers.
Examples : 5/8; -3/14; 7/-15; -6/-11
3. Rational numbers are closed under addition. That is, for any two rational
numbers a and b, a+b s also a rational number.
For Example - 8 + 3 = 11 ( a rational number. )
Rational numbers are closed under subtraction. That is, for any two rational
numbers a and b, a – b is also a rational number.
For Example - 25 – 11 = 14 ( a rational number. )
Rational numbers are closed under multiplication. That is, for any two
rational numbers a and b, a * b is also a rational number.
For Example - 4 * 2 = 8 (a rational number. )
Rational numbers are not closed under division. That is, for any rational
number a, a/0 is not defined.
For Example - 6/0 is not defined.
4. • Rational numbers can be added in any order.
Therefore, addition is commutative for rational
numbers. For Example :-
• Subtraction is not commutative for rational
numbers. For Example -
Since, -7 is unequal to 7
Hence, L.H.S. Is unequal to R.H.S.
Therefore, it is proved that Subtraction is not commutative for rational numbers.
L.H.S. R.H.S.
- 3/8 + 1/7
L.C.M. = 56
= -21+8
= -13
1 /7 +(-3/8)
L.C.M. = 56
= 8+(-21)
= -13
L.H.S. R.H.S.
2/3 – 5/4
L.C.M. = 12
= 8 – 15
= -7
5/4 – 2/3
L.C.M. = 12
= 15 – 8
= 7
5. • Rational numbers can be multiplied in any order.
Therefore, it is said that multiplication
is commutative for rational numbers.
FOR EXAMPLE –
Since, L.H.S = R.H.S.
Therefore, it is proved that rational numbers can be multiplied in any order.
• Rational numbers can not be divided in any order.
Therefore, division is
Not Commutative for rational numbers.
FOR EXAMPLE –
Since, L.H.S. is not equal to R.H.S.
Therefore, it is proved that rational numbers can not be divided in any order.
L.H.S. R.H.S.
-7/3*6/5 = -42/15 6/5*(7/3) = -42/15
L.H.S. R.H.S.
(-5/4) / 3/7
= -5/4*7/3
= -35/12
3/7 / (-5/4)
= 3/7*4/-5
= -12/35
6. Addition is associative for rational numbers.
That is for any three rational numbers a, b and c, :
a + (b + c) = (a + b) + c.
For Example
Since, -9/10 = -9/10
Hence, L.H.S. = R.H.S.
Therefore, the property
has been proved.
Subtraction is Not Associative for rational numbers
Multiplication is associative for rational numbers.
That is for any rational numbers a, b and c :
a* (b*c) = (a*b) * c
For Example –
Since, -5/21 = -5/21
Hence, L.H.S. = R.H.S
Division is Not Associative for Rational numbers.
ASSOCIATIVE PROPERTY
L.H.S. R.H.S.
-2/3+[3/5+(-5/6)]
= -2/3+(-7/30)
= -27/30
= -9/10
[-2/3+3/5]+(-5/6)
=-1/15+(-5/6)
=-27/30
=-9/10
L.H.S. R.H.S.
-2/3* (5/4*2/7)
= -2/3 * 10/28
= -2/3 * 5/14
= -10/42
= -5/21
(-2/3*5/4) * 2/7
= -10/12 * 2/7
= -5/6 * 2/7
= -10/42
= -5/21
7. DISTRIBUTIVE LAW
For all rational numbers a, b and c,
a (b+c) = ab + ac
a (b-c) = ab – ac
For Example –
Since, L.H.S. = R.H.S.
Hence, Distributive Law Is Proved.
L.H.S. R.H.S.
4 (2+6)
= 4 (8)
= 32
4*2 + 4*6
= 8 = 24
= 32
8. Additive Inverse
Additive inverse is also known as negative of a
number.
For any rational number a/b, a/b+(-a/b)= (-a/b)+a/b = 0
Therefore, -a/b is the additive inverse of a/b and a/b is
the
Additive Inverse of (-a/b).
Reciprocal
Rational number c/d is called the reciprocal or
Multiplicative Inverse of another rational number a/b
if a/b * c/d = 1