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.