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
We know that a number that can be written as \frac{p}{q}, where p and q are integers and q \neq 0, is known as RATIONAL NUMBERS. Thus, the set of the rational numbers contains all integers and fractions. The set of rational numbers is denoted by Q. Therefore, N \subseteq W \subseteq Z \subseteq Q.
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
We know that a number that can be written as \frac{p}{q}, where p and q are integers and q \neq 0, is known as RATIONAL NUMBERS. Thus, the set of the rational numbers contains all integers and fractions. The set of rational numbers is denoted by Q. Therefore, N \subseteq W \subseteq Z \subseteq Q.
CBSE Class 10 Mathematics Real Numbers Topic
Real Numbers Topics discussed in this document:
Introduction
Rational numbers
Fundamental theorem of Arithmetic
Decimal representation of Rational numbers
Terminating decimal
Non-terminating repeating decimals
Irrational numbers
Surd
General form of a surd
Operations on surds
· Addition and subtraction
· Multiplication of surds
More Topics under Class 10th Real Numbers (CBSE):
Real numbers
Laws of
logarithms
Common and natural logarithms
Visit Edvie.com for more topics
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.
is used. Mathematics is applied in day to day life, so we can now review the concepts of Algebra and its uses in daily life. Here in our work we have made a small split up of items in a bag while shopping. Basic Algebra is where we finally put the algebra in pre-algebra. The concepts taught here will be used in every math class you take from here on. Well introduce you to some exciting stuff like drawing graphs and solving complicated equations. Since we are learning Algebra, Geometry in the school days. But the is a real life application of Algebra which is used in Geometry. Now a days the social media has improved a lot. We cant able to solve those figured puzzles, hence we can solve them by using algebraic equations. S. Ambika | R. Mythrae | S. Saranya | K. Selvanayaki "Algebra in Real Life" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-2 , February 2019, URL: https://www.ijtsrd.com/papers/ijtsrd21517.pdf
Paper URL: https://www.ijtsrd.com/mathemetics/algebra/21517/algebra-in-real-life/s-ambika
Arabic Translation: نظام مكافحة التجسس الاستباقي بوصفه جزءاً من استمرارية الأ...Dr. Lydia Kostopoulos
Arabic Translation of "Proactive Counterespionage as a Part of Business Continuity and Resiliency" RSA White Paper
RSA Quick Look Webcast: http://www.rsaconference.com/media/quick-look-proactive-counterespionage-as-a-part-of-business-continuity-and-resiliency
Presentation Abstract:
تناقش هذه الجلسة الوسائل المستخدمة لحماية أصول المعلومات واستمرارية الأعمال، وعرض طبقة دفاعية إضافية مع التركيز على العنصر البشري في مكافحة التجسس. وتتضمن خطة مكافحة التجسس الاستباقية المقترحة تدقيقات لأمن العمليات والاستخبارات العكسية المفتوحة المصدر وتصنيف الموظفين المستهدفين من التجسس المثير للقلق.
See more at: http://www.rsaconference.com/events/ad15/agenda/sessions/2219/proactive-counterespionage-as-a-part-of-business#sthash.DTYlHe6a.dpuf
"Future Proofing Canada's Grids," Jim Burpee, Canadian Electricity AssociationClean Energy Canada
One day, millions of Canadians could be generating their own clean power, storing it, and selling it back to the grid. How can policy makers and utilities best ensure Canada’s utilities are ready? Jim Burpee will look into Canadian Electricity Association’s crystal ball and share highlights from the association’s just-released Vision 2050: The Future of Canada’s Electricity System.
CBSE Class 10 Mathematics Real Numbers Topic
Real Numbers Topics discussed in this document:
Introduction
Rational numbers
Fundamental theorem of Arithmetic
Decimal representation of Rational numbers
Terminating decimal
Non-terminating repeating decimals
Irrational numbers
Surd
General form of a surd
Operations on surds
· Addition and subtraction
· Multiplication of surds
More Topics under Class 10th Real Numbers (CBSE):
Real numbers
Laws of
logarithms
Common and natural logarithms
Visit Edvie.com for more topics
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.
is used. Mathematics is applied in day to day life, so we can now review the concepts of Algebra and its uses in daily life. Here in our work we have made a small split up of items in a bag while shopping. Basic Algebra is where we finally put the algebra in pre-algebra. The concepts taught here will be used in every math class you take from here on. Well introduce you to some exciting stuff like drawing graphs and solving complicated equations. Since we are learning Algebra, Geometry in the school days. But the is a real life application of Algebra which is used in Geometry. Now a days the social media has improved a lot. We cant able to solve those figured puzzles, hence we can solve them by using algebraic equations. S. Ambika | R. Mythrae | S. Saranya | K. Selvanayaki "Algebra in Real Life" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-2 , February 2019, URL: https://www.ijtsrd.com/papers/ijtsrd21517.pdf
Paper URL: https://www.ijtsrd.com/mathemetics/algebra/21517/algebra-in-real-life/s-ambika
Arabic Translation: نظام مكافحة التجسس الاستباقي بوصفه جزءاً من استمرارية الأ...Dr. Lydia Kostopoulos
Arabic Translation of "Proactive Counterespionage as a Part of Business Continuity and Resiliency" RSA White Paper
RSA Quick Look Webcast: http://www.rsaconference.com/media/quick-look-proactive-counterespionage-as-a-part-of-business-continuity-and-resiliency
Presentation Abstract:
تناقش هذه الجلسة الوسائل المستخدمة لحماية أصول المعلومات واستمرارية الأعمال، وعرض طبقة دفاعية إضافية مع التركيز على العنصر البشري في مكافحة التجسس. وتتضمن خطة مكافحة التجسس الاستباقية المقترحة تدقيقات لأمن العمليات والاستخبارات العكسية المفتوحة المصدر وتصنيف الموظفين المستهدفين من التجسس المثير للقلق.
See more at: http://www.rsaconference.com/events/ad15/agenda/sessions/2219/proactive-counterespionage-as-a-part-of-business#sthash.DTYlHe6a.dpuf
"Future Proofing Canada's Grids," Jim Burpee, Canadian Electricity AssociationClean Energy Canada
One day, millions of Canadians could be generating their own clean power, storing it, and selling it back to the grid. How can policy makers and utilities best ensure Canada’s utilities are ready? Jim Burpee will look into Canadian Electricity Association’s crystal ball and share highlights from the association’s just-released Vision 2050: The Future of Canada’s Electricity System.
Presentation on personal digital security for the Overseas Security Advisory Council (OSAC) Bureau of Diplomatic Security - United States Department of State.
La siguiente presentación ejecutada por mi persona Angeli Dannielys Peña Suárez, estudiante de la Universidad Politécnica Territorial Andes Eloy Blanco te sera de gran ayuda para saber un poco mas acerca de de los conceptos y ejemplos de los conjuntos, pertenencia, agrupación, intersección, operaciones con conjuntos, los números reales y sus conjuntos, desigualdades, valor absoluto, desigualdades con valor absoluto, plano numérico y las cónicas.
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...NelTorrente
In this research, it concludes that while the readiness of teachers in Caloocan City to implement the MATATAG Curriculum is generally positive, targeted efforts in professional development, resource distribution, support networks, and comprehensive preparation can address the existing gaps and ensure successful curriculum implementation.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
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Thinking of getting a dog? Be aware that breeds like Pit Bulls, Rottweilers, and German Shepherds can be loyal and dangerous. Proper training and socialization are crucial to preventing aggressive behaviors. Ensure safety by understanding their needs and always supervising interactions. Stay safe, and enjoy your furry friends!
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
4. ORDER OF OPERATION
u PEMDAS FB
• P [Parentheses]
• E [Exponents]
• M [Multiplication]
• D [Division]
• A [Addition]
• S [Subtraction]
• F [Fraction] B [Bar]
u The phase goes in order. In order of operation expressions:
1. Work the expression in the parentheses
2. Work the exponents
3. Work the multiplication and division expressions
4. Work the addition and subtraction expressions
5. Finally work any fractions/ fraction bars
u Work the problem from left to right
6. COMBINING LIKE TERMS
u A process used to simplify an expression or an equation using
addition and subtraction of coefficients of terms
u To combine like terms the terms after the number have to match
u 12x+7x
would work
u 12x+7y
wouldn’t work because of the different terms, it would stay
the same
u If there is a negative before a like term when you combine it to the
other like term treat it as a subtraction equation. EX.
12y
-‐
(-‐7y)
+
4x
u
=
5y
+
4x
u If there are parentheses inside parentheses work it like an order of
operation-combining like terms equation. EX.
x
+
2(x
–
[3x
–
8]
+
3)
=
x
+
2(x
–
1[3x
–
8]
+
3)
=
x
+
2(x
–
3x
+
8
+
3)
=
x
+
2(–2x
+
11)
=
x
–
4x
+
22
=
–3x
+
22
8. BOX AND WHISKERS PLOT
u Start by putting your data in numerical order from least to greatest
u Then find the median
u By doing this you create 2 halves one on the left and one on the right
u Find the median of half and the right half
u If the 2 halves have 2 median numbers you’ll add them then divide it by 2
u Lastly find the lowest and the highest number
u You’ll use a number line to graph the numbers
u You’ll put the 3 medians and the lowest and highest numbers on the line
and draw a vertical line through all the points
u The box will be of the 3 median lines
u Starting from the box on the left and the right you’ll draw a line connecting
the outer numbers
u The line will be broken into 3 quartiles
10. STEM AND LEAF PLOT
u A table that is split between the ones and the
higher value. The ones as the leaves, higher place
values as the stem.
u Put the data in order from least to greatest
u Put on the table chart from least to greatest
u The stem starts at the lowest number’s highest
value
u The leaf starts from least to greatest left to right
u Read the chart from left to right
11. Definitions
v Order of Operation- a rule used to clarify which procedures
should be performed first in a given mathematical
expression.
v Combining Like Terms- like terms are terms that have the
same variables and powers. The coefficients do not need to
match. Unlike terms are two or more terms that are not like
terms, i.e. they do not have the same variables or powers.
v Box and Whisker Plot- a graphic way to display the
median, quartiles, and extremes of a data set on a number
line to show the distribution of the data.
v Stem and Leaf Plot- a display where the data is organized
by place value.
12. Citations
• Order of Operations-
h7p://www.algebra-‐class.com/order-‐of-‐operaHons.html
h7p://en.wikipedia.org/wiki/Order_of_operaHons
• Combining Like Terms-
h7p://www.purplemath.com/modules/polydefs2.htm
h7p://en.wikipedia.org/wiki/Combining_like_terms
• Stem and Leaf Plot-
h7p://www.webquest.hawaii.edu/kahihi/mathdicHonary/S/
stemleaf.php
h7p://www.mathsisfun.com/data/stem-‐leaf-‐plots.html
• Box and Whiskers Plot-
h7p://www.purplemath.com/modules/boxwhisk.htm
h7p://www.webquest.hawaii.edu/kahihi/mathdicHonary/B/
boxwhiskerplot.php