Algebra Formula

Algebra, it is a branch of mathematics in which symbols (usually letters) represent unknown numbers in mathematical equations. Algebra provides the basic arithmetic operations like addition, subtraction and multiplication, which is carried out without the use of certain numbers. People use algebra in everyday lives, for everything from calculating the amount of flour needed to bake some cookies to know how long it is to drive the car on speed to a destination that is a specific distance.

The arithmetic is not enough to share with mathematical relationships, such as the Pythagorean Theorem that the sum of the squares of the lengths of the shorter sides of a triangle the square of the length of the long side corresponding to states to overcome. It can express the arithmetic mean of specific instances of these relations. A triangle with sides of length 3, 4 and 5, for example, the conditions of the sentence: 32 42 = 52 (32 classes of 3 multiplied by itself and is called "three squared".) Algebra is not limited to the expression of specific cases, but it can be a general statement about all possible values that can meet certain conditions, in this case the proposition:

a2 b2 = c2

This article focuses on the classical algebra, which deals with the solution of equations, symbols are used to create ways to manipulate symbols rather than specific numbers and arithmetic operations. The word algebra is also used to describe, however, several modern designs, more abstract mathematics, the symbols, but are not necessarily numbers. Mathematicians consider modern algebra a set of objects with rules for changing or against them. As such, in its broadest form the algebra can be described as the language of mathematics.

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In Math Fractions Are Strange But Decimals Are Even Stranger - Part I

Most people agree that fractions are a bugbear in mathematics. Wherever they rear their ugly heads, they wreak havoc on both novice and expert alike. During my years teaching mathematics, I have seen many a mistake directly attributable to fractions. Yet with all the wacky considerations of fractions, decimals prove to be far stranger when you plumb the depths of this curious arena. In this two-part series of articles, we are going to examine some of these "outer-worldly" qualities.

As you may already know, fractions, percents, and decimals are three different ways of expressing the same idea. A fraction expresses the ratio of two integers a/b; a percent expresses the portion of the whole with respect to itself in parts per hundred, as in 55%; and a decimal expresses a number with respect to a specific tolerance, or to a number of significant digits.

In turn, decimals can come in three forms: terminating, non-terminating repeating, and nonterminating non-repeating. The terminating decimals really do not present that much curiosity other than being able to represent a measurement to any arbitrary precision. For example, 1.4123, could be thought of as a measurement, in which the 3 in the ten-thousandths place is the digit in question. If we had a more precise measuring tool, perhaps we could take this same measurement to one in which the digit in question would be the hundred-thousandths place. So much for terminating decimals.

Where things get really strange-indeed bizarre at times-is in the realm of the non-terminators, so to speak. This is one area where mathematics starts to open its arms of mystery and to provide us with clues as to the wonders of the universe. In this series of articles, we are going to experience this wonder with the non-terminating repeaters.

To start, let us take the repeater 0.333...Most of you know this as the ordinary fraction 1/3. Or take 0.6666...Most of you know this as 2/3. How we convert from the decimal to the fraction is not usually learned until one studies at least Algebra II in high school, or perhaps later comes across this idea as an infinite series in elementary calculus; but you are going to learn it here so that you can experience one of the wonders of decimals.

In demonstrating this method, let us take the non-terminating repeater 0.999...What this decimal consists of is an infinite string of 9's. Yes infinite. Not to seem repetitive, but in order to appreciate the strangeness of this whole concept, I must underscore the idea of "never-ending-ness." Now what comes as a shock is that this decimal 0.999... is the very same thing as the number 1. Yes that is correct. The never-ending, repeating decimal 0.999... is the exact same thing as the number 1 (which by the way can be considered the fraction 1/1). Wow! How could something which seems to always be short from 1 by just a little bit, be actually exactly equal to that very thing?

In Part 2 of this article, we examine how this is so, and demonstrate the method which proves this very fact. Yes fractions can be strange, especially when we consider that they are infinitely dense along the number line, yet still leave gaps which can be fallen through; but decimals are still stranger. Stay tuned for Part 2...

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What Is The Best Way To Learn Fractions?

Skill with fractions is one of the key indicators of future success in mathematics for children. Being competent at calculating with and manipulating them is essential to succeeding in any field of science or mathematics including accountancy, medicine, chemistry, engineering and so on.

Working out solutions for any scientific formula, for example, requires skill with fractions. Ratios are also fractions and are used for many things including conversion from one unit type to another.

Yet many people are never comfortable working with fractions. Ask a random group of adults what part of math they had the most trouble with and many of them will answer "fractions". Almost all the rest will answer "algebra".

So what is the best approach to teaching fractions to children, to make them easier to grasp? Having taught fractions to junior high school children for over ten years I have tried many methods. The most successful method I have found so far is to treat them simply as numbers from the very first lesson.

Fractions are often shown as cakes, pizzas, biscuits, groups of ducklings; in fact they are presented as anything but numbers. The skill a of identifying part of a whole or group that a student learns with picture fractions does not carry over well to more advanced ideas like adding, subtracting, dividing and the like.

If we treat fractions as numbers we can place them on the number line. Here their actual value relative to other numbers can be seen without confusion. This makes converting between mixed numbers and improper fractions a very simple task. Also, it makes clear that fractions like one third have a value of between zero and one.

When fractions are treated as numbers they are easier to teach and easier to learn. Two and three fifths may be a mystery to a child, but when that is translated into "two and a bit" the fraction suddenly becomes easier to locate and work with. By demystifying fractions they become less threatening which in turn also improves learning of the topic.

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With Obama Back To School Aid Single Moms Can Now Go Back To School

America till date has not experienced this economic situation that has wrecked the lives of many homes. The people to be the worst affected are single moms who don't have proper jobs and have a family to feed. If you are one among them and have no one to look up to, then reading this article can help you immensely.

You don't have many options as of now, and of course you can't afford any loans at this moment, not without a job. But what you can do is get yourself with Obama back to school aid for single moms and join a reputed school. Getting a job, that's all it matters. With the aid, you can get yourself a free fund of more than $7,000 for a complete two year course.

The best part of this aid is that, you can attend your class right from the comfort of your home. This is not a good time to panic and think negative questions in your mind like, I'm too old for a college degree? Can I complete my course successfully with my family commitments?

You need to realize that you are not the only one who has been affected due to the financial meltdown. You also have to think about your kids and their future. You can get a good job by getting yourself a degree from a reputed college or university. You may be good at science or art subjects, but you need a degree to prove it to others and more importantly to get yourself a job.

Why do you want to sit at home, when you can get a job and help your family lead a good life? Make sure you get the Obama back to school aid for single moms and go back to school. Hurry up and enroll yourself immediately for this aid and change your future forever.

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Single Moms Can Go Back To School With Obama Back To School Aid

If you are a single mom with a bad financial income and want to know how to improve your situation, then this article can help you. You will however, have to be dedicated and work hard to achieve that. It is a real pity watching women waste their lives because of their family.

Single moms need to ask themselves this question. Am I born for raising kids and looking after them my whole life? It would be a lot better when you have a good paying job so that you not only look after yourself, but also your family. Here's how you can do that.

Obama back to school funding: With the Obama back to school funding for single moms, you can get yourself a free grant of $10,000 for a full two year educational course. It means that you can study for two full years in a reputed college with a free aid of $10,000.

Being a single mom can make it very difficult for you to travel to attend your classes and to leave your home. For your convenience, you can study right from your home using the internet. If at all the necessity arises for you to meet with your professor, you can contact him/her also. It doesn't get more convenient that this.

When you get yourself with a good degree, it qualifies you for jobs that will pay you what you are worth. You don't want to miss out on this chance to do your college degree free of cost.
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Don't wait, get register yourself for the Obama back to school fund today.

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Electrical Engineering Study Options

Electricity makes up a major part of today's modern society making it a prevalent career choice for many college students. Students have many educational options to choose from if they want to become an electrical engineer. Study options at the collegiate level range from certificate programs to doctorate programs.



When pursuing an education in electrical engineering students work through programs that focus heavily on math and science. Programs are completely focused on teaching students through a rigorous curriculum to create, produce, test, and maintain the manufacturing of electrical equipment. Equipment includes motors, machinery controls, power systems, computers, electric devices, and much more. Degree programs match the need for all of these areas by providing numerous concentration options for career study. The career goal of students will dictate what level of education is needed.

Students that want to enter a career working to repair and maintain electrical equipment should consider earning an associate's degree. Entry-level jobs can be gained in areas that include:

Communications
Electronics
Medical Equipment
Automation

Students that want to advance their knowledge of electrical equipment to broaden their job prospects most often enter associate's degree programs. Education covers information at the basic level to give student's foundational understanding of electricity and electronic measurement. Some careers may require some on-the-job training to be fully qualified for a certain position. Students can expect to earn a practical degree that is usable within the field and in further study.

Earning a bachelor's degree is the best starting point for students and it creates the most career options upon graduation. Degree programs last four years and teach students the design and analysis procedures in regards to electronic applications. Careers can be entered inside fields that include:

CircuitryInformation Theory

Education focuses on giving students knowledge in mechanics, thermodynamics, physics, and electrical circuits. Students can expect to learn design principles and the theoretical practices that go into creating electrical equipment. Many programs require students to choose a concentration in their last year of study. Some options can include power systems or digital systems. Programs give students hands-on experience in areas like control systems, circuits, and microprocessors.

Students work through their chosen concentration at the undergraduate level inside a master's degree program. Fields of study can include:

Optics
Nanotechnology

The education completed prepares students for advanced careers inside their place of work. Further understanding on how to research, develop, and create electrical systems is gained. Networking, computer engineering, circuit design, and automatic control are degree courses that prepare students for management level responsibility. Earning a terminal degree at the PhD level of education gives students the knowledge to research and teach others about the field of electrical engineering.

The field of electrical engineering provides students with numerous career options based on their level of education. Completing an accredited educational program allows students to become a member of the electrical engineering industry. Full accreditation is proof of a quality learning program. Agencies like the Accreditation Board for Engineering and Technology ( http://www.abet.org/ ) can fully accredited programs that meet certain criteria. Learn about possible study options available to begin training.

DISCLAIMER: Above is a GENERIC OUTLINE and may or may not depict precise methods, courses and/or focuses related to ANY ONE specific school(s) that may or may not be advertised at PETAP.org.



Copyright 2010 - All rights reserved by PETAP.org.

Renata McGee is a staff writer for PETAP.org. Locate Electrical Engineering Degree Programs as well as Electrical Engineering Degrees Online at PETAP.org, your Partners in Education and Tuition Assistance Programs.

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Advance Your Career With a Masters Degree

Are you someone who wants to get ahead in your career? Do you want to get that edge that will help you get ahead of everybody else and get you into that position that you've always wanted? There are many ways to achieve your career goals but none are as rewarding and as valuable as getting a masters degree. If you look at the sheer volume of people who are currently out of work with normal Bachelor degrees, then its not hard to see that the bar has been raised.

There is no doubt that a tertiary education is becoming more important in an competitive job market. Just competing with all the other applicants who has exactly the same qualification as you can be very tough. You need something that sets you apart and getting a masters degree may well do that for you. Less than 10% of all graduates proceed to extend their education and less than 10% actually get a masters degree or a doctors degree (this excludes MD's). By simply furthering your studies you can really set yourself apart.

Getting a masters degree is also not just about getting ahead from the pack. Its also about specializing and really honing in on a specific area in your field. We've all heard it before but the world is becoming much more specialized and the need for experts in particular fields are increasing. A masters degree will enable you to specialize and to become more of an expert in something that you actually like doing.

Lastly, when prospective (and even current) employers see a masters degree on your resume it instantly changes their perspective of you. It really says a lot out you beyond the mere qualification. It speaks volumes of your enthusiasm, your ability and your general approach to your career.

Not only will a masters set you apart from everybody else, it will help you to reach levels in your career that won't be possible with a bachelor's degree. Why not look into it. It may just be that missing piece that you've been looking for. With numerous new online degrees available you don't even have to go back to school full time. You can do it for much cheaper, at your own pace and even get a very specific degree from international schools. I would encourage you to look into online schools. There are some great educational opportunities out there.



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