Methods of Solving Quadratic EquationsMaria Wilson
The quadratic equation is about the polynomial equation in the single variable where the highest exponent of a variable is only 2. If you want to know solving quadratic equations, you will have three main ways to solve the quadratic equation.
Methods of Solving Quadratic EquationsMaria Wilson
The quadratic equation is about the polynomial equation in the single variable where the highest exponent of a variable is only 2. If you want to know solving quadratic equations, you will have three main ways to solve the quadratic equation.
Equivalent Fractions have the same value, even though they may look different.
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
You only multiply or divide, never add or subtract, to get an equivalent fraction.
Only divide when the top and bottom stay as whole numbers.
Fractions represent equal parts of a whole or a collection.
Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
Equivalent Fractions have the same value, even though they may look different.
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
You only multiply or divide, never add or subtract, to get an equivalent fraction.
Only divide when the top and bottom stay as whole numbers.
Fractions represent equal parts of a whole or a collection.
Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
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.
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.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
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.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
1. DIGITAL TEXT
UNIT: FRACTION
LESSON: EQUAL FRACTIONS
SUBMITTED TO: SUBMITTED BY:
Mrs.Preetha T.L Greeshma P.R
Assistant Professor Optional: Mathematics
In Mathematics Reg.no: 18017359001
2. FRACTIONS
EQUAL FRACTIONS
LEARNING OBJECTIVES:
Develop the knowledge about equal fractions.
Understand the concept of finding equal fractions.
Understand the concept of cross multiplication in finding equal fraction.
Develops interest in computation based on fractions.
INTRODUCTION:
We have seen that a single fraction has many forms. For, example,
Here, ⁄ , ⁄ are all different forms of ⁄ .
When we multiply the numerator and denominator of a fraction by the same natural
number, we get different forms of it; that is, fractions equal to it.
For any fractions ⁄ and any natural number ,
This is the definition of equal fractions.
So how do we check whether two fractions are equal?
One way is to remove the common factors in the numerator and denominator and reduce
to the lowest terms.
For example, take ⁄ and ⁄
3. Thus we see that ⁄ and ⁄ are two forms of ⁄ . Thus they are equal fractions.
But how will you factorise large number and check whether it is an equal fraction?
It is not easy to factorise large numbers (even if we use computer). So we use another
method to check equality of the fractions. For example, take ⁄ and ⁄
They can be put in forms with the same denominator by multiplying the numerator and
denominator of first fraction with denominator of second fraction and then multiplying the
denominator and numerator of second fraction with denominator of first fraction like this:
The denominators of these new forms are the same. So to check their equality, we need
only see whether the numerators are also equal.
That is,
Since the numerators and denominators are equal, so are the fractions.
That is, in general
For natural numbers if ⁄ ⁄ , then
Conversely, if , then ⁄ ⁄
4. This method of converting equality of fractions to equality of products of natural numbers is
often called cross multiplication.
LESSON SUMMARY:
You have learned about what equal fraction is and how it can be obtained. For simple
fractions we can just use the factorization method. That is, factorising the numerator and
denominator and reduce to lowest terms to check whether two factors are equal. But for
larger fraction we cannot use factorization method instead we can use cross multiplication
method.
Example 1:
Check whether the fractions ⁄ and ⁄ are equal?
Solution:-
You are really trying to find whether they are equal.
The first step is to multiply the numerator of the first fraction with the denominator
of the second. That is,
The second step is to multiply the numerator of the second fraction with the
denominator of the first. That is,
The third step is to check whether the products are equal.
Here the products are equal to 117572. Therefore the two fractions ⁄ and
⁄ are equal.
Example 2:
Using cross multiplication, check whether ⁄ and ⁄ are equal?
Solution:-
Since the products are same, so are the fractions.
That is ,
5. POINTS TO CONSIDER:
Is factorization is the only method of checking equality of two fractions?
If the fractions are larger, is it possible to check their equality?
REVIEW QUESTIONS:
Show all steps necessary for each answer. Be sure to include general principle if needed.
1. Check whether ⁄ and ⁄ are equal?
2. Using cross multiplication, check whether the fractions ⁄ and ⁄ are
equal?
--------------------------------------------
