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.
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| 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.
