Understanding Different Absolute Value Calculators from Real to Complex Numbers

Math is one of the most interesting subjects for the students. This subject is not only important for the different higher studies but also have some real life applications. From simple algebra to the top level mathematics like trigonometry and calculus, math plays a vital role in the different engineering fields. One can’t imagine innovations and scientific theories with the mathematical implementations.

But this important subject is somewhat challenging and complicated when the calculations grow bigger and bigger. Hence there is need of the different type of calculators. These calculators are the automated tools that help us in solving huge and complex problems. We can use both online and offline calculators to solve this complex subject.

Absolute Value Calculator

In this article, we will be discussing the different methods that act as the base of absolute value calculator. But before going to calculators let’s first understand what the absolute value of any number is. We are all familiar with the number line that has 0 in the mid and a range of positive and negative numbers on its RHS and LHS respectively. The absolute value of any number let say ‘x’ is defined as the distance of ‘x’ from zero. Using the modulus symbol, we can define |-2| be equal to 2.

1.    Hence our first method to solve the different absolute values is determining the distance of the number from 0 on the number line. It doesn’t matter if it’s positive or negative, the absolute value of the number will always be positive. Hence for the examples stated below the absolute value calculator will give following values:

·         |3|= 3

·         |-5|= 5

·         |0|=0; because there is no other number between 0 and 0; hence it’s 0 itself.

2.    While you are going for the complex numbers in the form of ‘z=x+iy’ then, in that case, there is a particular formula that comes into action for finding the absolute values. This formula has been stated as follow:

|z|=|x+iy|= =

The above equation acts as the base of the different online absolute value calculators.

3.    Another type of problem that occur while finding the absolute value are the different equations in the form of (x+2=8). When you need to solve such equations that the following steps are taken:

·         First of all, we will divide the equation into 2 parts with both positive and negative values on the RHS let say 8 and -8 as stated in the example above.

·         Then we will solve the equation and get the value of ‘x’ in the both cases.

·         Finally, we will plot the values on the number line, and that will be the range of the absolute values of the following equation.

But as said earlier, the absolute value is always positive.

There are many functions like trigonometric functions, sign function, etc. that has different absolute values. There are many laws, or we can say proved theories about absolute values that help in the working of absolute value calculator. These online calculators are quite efficient and correct for giving results. One can not only solve the problems, but with the help of step by step guides, one can learn as well. 

Solve Your Equations With Calculators

Good students not only work hard, but they also work smart. They know that when it comes to succeeding in math, having the right tools can save you time, money, and headache. The online calculators are a boon to the students as they can solve the difficult equations too in a blink of their eyes.

To help you get current, we've put together a list of the coolest free online calculators:

• basic and scientific calculators
• graphing applications
• equation solving applications
• and other, more advanced programs to help you with math homework

The best part is: they're all completely free. Keep reading to discover which online calculators you should add to your math homework toolbox.

Equations

The List: Free Online Calculators

Basic Calculators

Basic online calculators like a system of equations calculator allow you to perform arithmetic calculations, as well as find square root values and percentages.

quickmath.com is a super simple and convenient basic online calculator. It has a great user interface and doesn't require you to download anything. So, if your homework involves lots of adding, subtracting or finding percentages, this is a no-nonsense solution for you.

Bottom line: basic, big, bold and easy to use.

Scientific and Algebraic Calculators

Scientific calculators do the same things as basic calculators, but they also allow you to perform operations with exponents, logarithms, trigonometric functions and more.

There are dozens of free scientific calculators out there, and it's easy to get lost in the jungle. Here are a few that most students find convenient and easy to use:

• The scientific system of equations calculator from quickmath.com. This is a simple scientific calculator that resembles a handheld calculator. The interface is a little small, but other than that, it's a great tool if you want to simply push buttons rather than input a bunch of mathematical symbols.

Bottom line: a traditional looking scientific calculator that doesn't require you to enter a bunch of "keyboard gibberish."

• The online system of equations calculator by David Sumner of the University of South Carolina. This calculator is awesome! You can enter the entire algebraic expression and click "evaluate," and the calculator will return the answer. The downside to some may be that it doesn't have that traditional calculator look and there are no buttons, but there are sufficient instructions below the calculator that explain how to input the expressions correctly.

Bottom line: helps solve long algebraic expressions instantly (as long as you don't mind the "keyboard gibberish").

• The complete calculator from quickmath.com. This site offers a comprehensive calculator that spans multiple math disciplines - from arithmetic to calculus. It will help you perform operations with fractions, logarithms, limits, trigonometric functions and more. It also has a separate tab for graphing.

These calculators are free to use and give you the ease to check out the results as soon as possible. So, start using them and carry out the calculations to be solved in seconds. These calculators will surely be a boon to your mathematics and will show you the way out of the difficult mathematical calculations that you have never thought to crack yet. 

Do Go Ahead with Compound Inequality

A compound inequality is a crucial part of the mathematics where the students in the school need to solve. The inequalities can look simple in the starting but are not easy to solve as they are quite confusing at times, learning their basics is very important for any student. They can be quite confusing at time and can be a difficult to crack at times. The Inequalities are of different types, and the difficulties can be increased.

Unlike the ancient ties today there are many websites that deal in providing the information about the inequalities like www.quickmath.com and can be taken as a reference to learn. These kinds of eLearning websites are very much in number today and have been one of the sources of information to, and the videos have been another source to escalate the process of learning. The inequalities are of many kinds, but here we will discuss the compound inequalities only. It is a kind of inequality which is joined through “And” and “Or”. The both terms have the different meaning altogether. The term called as and includes the solution that is valid for both the inequalities and if the equation includes the or term then the solution can be valid for either of the inequalities.

Although they may seem too difficult to learn in the starting with the proper guidance, you can improve upon them. The inequalities have been into the syllabus for a long time and have been studied by most everyone in its later years. If you have been through them, then you will able to recognize their magic and if you could do it right. Then, surely you will find lots of fun in doing them. So, it is just the matter of the time that you need to recognize the gravity of the time and give your response accordingly. The inequalities have been developed very early, and it will help you in depicting and learning the various basics of the subject. In the early years, they will be only included in the maths but going further you will find them in another subject like Physics, chemistry even in commerce accounting too. So, we guess that you understood how much importance they own to you if you do not understand them right.

So, do listen to your instructor and learn them right with them. The practice, of course, makes them stronger for you. Make notes in your copy and do refer to them when you do want to see and recognize the trouble in the subject. The inequalities learning is fun at times, and you will recognize it in your later years and how they are helping you in solving the complex problems too. So, do it right with your peers and do cater to the learning through the internet it will surely help you in going in a long way in studies. So, do visit them and subscribe to the best one which you find. So, keep going and learning.

What is the Historical Background of Algebra?

This is the most lucid and comprehensive definition of Algebra given by John Ray. Algebra is the study of mathematical operations and its manipulation through linear and quadratic equations by using variables and co-efficient.

Etymology of Algebra is that this word has come from the Arabic language “Al-Jabr” (restoration) from the title of the book “ Ilm -al –Jabr- wa’l mukabla”by Musa al Khwarizmi,a famous mathematician. This word entered to English in the fifteenth century, and its actual and original meaning is the surgery to repair the broken or damaged bones. The first mathematical meaning was manipulated in 16^th century.

Algebra

This is the branch of mathematics which uses general symbols and letters to represent mathematical numbers and quantities. Algebra is also the important part of the academic curriculum around the world and every student has to learn some basic knowledge about Algebra. Students feel it difficult some times and sometimes easy.it depends on their mental levels.

To teach Algebra at this level is for sharpening the critical thinking and problem-solving skills of students because it makes students identify and use appropriate formulas while solving an algebraic expression or equation. It makes them simplify the complex structures of the question into their simplest form.  Some students find it difficult because they try to memorize the techniques to solve any equation but in algebra one should be a good thinker as well as patient to get the right answer.

The question here which frequently comes in students’ mind that what is the use of Algebra in our daily life that if we study for get literate or to get knowledge about this world for improvement in our life then why we have to learn to solve the complex structures of coefficients and variables from the very beginning of our elementary school education? I have surveyed and searched for the answer to this question and by so much pondering on reasoning I have found its answer that the first reason for its importance in our daily life is; Algebra is the important branch of mathematics and its an essential subject to do calculations in our life either it is about time or counting the money for our domestic life. 

Secondly, Algebra provokes the critical skills in an individual it makes one to activate the maximum part of the brain and to make one a better decision maker and thinker as well. Thirdly it also improves the analytical  skills of a person as we are living in this world which is full of mysteries and without analyzing and reasoning skills we can’t be successful in our lives, so Algebra makes students to analyze the complex structures of a question and the right formulas to implement so it definitely improves one’s analyzing skills. The fourth reason is that Algebra is also important in this era of modern technology where everything has to been organized in such a technical manner so for data entry requirements it is mandatory to learn. Last but not the least is that for our professional needs it is much required to write mathematical assignments to inculcate formulas in it for their professional view.