Functionality and Description of Math Calculators

A calculator is said to be a small electronic device that performs both involved and mathematical arithmetic operations. It’s also referred to as a machine that makes math operations easy to solve. These tasks are addition, subtraction, multiplication, and division. The advanced math calculators can do square roots, draw functions and can help in calculus. A computer or a smartphone is also known to be a calculator. A calculation calculator contributes to tackling mathematical problems.

Math Calculator
Math Calculator

Types of Math Calculators

Math calculators are found all over the internet and outside in the real world varying regarding cost. It’s crucial to know which math calculator you need to perform a certain job. There are three most common calculators;

  1. Handheld calculators:

Handheld calculators are the most basic calculator found in the world today. It’s simple to handle, pocket-sized, powered by the solar and used for basic mathematics only. The calculators come in attractive colors, designs and are often stylish. Basic calculators contain fewer functions and display results in just a line. The calculators are known as four function calculators since they do perform only addition, subtraction, multiplication and division only. We do have other calculators that can do basic functions such as tax, calculations and discount amounts. Handheld calculators can also copy values between the sub-display and the primary display, or independent actions can take place simultaneously.

  1. Printing calculators:

These calculators were used a long time before computers were created to run all the total numbers over a particular period. They feed off a role of tape to provide a record of the calculations made. They can print in two colors mainly black and red to represent positive and negative values form of identification. They are fast and known to keep up with most experienced Integer cruncher. Printing calculators are large; they are quick, and their display is better than the handheld calculators.

  1. Scientific calculators

They are calculators that offer a broad range of conversions, analysis, statistics and data plotting. The calculators are the most advanced calculators and provide a variety of functions to solve mathematical problems. Most scientific calculators used the VPAM method, a kind of notation for various algebraic functions. The calculator contains quite some math functions that offer mathematicians the ability to tackle complex tasks like fraction calculations, permutations, and combinations. They have some of the features listed below;

  • Dot-matrix display with a high-resolution screen that allows graphs and numbers to be spotted clearly.
  • 2-digit and 10-digit mantissa exponential display
  • A sophisticated memory that is quick and easily recalls previously done calculations
  • Re-execution and editing of formula
  • Editing of data input and back viewing.

Before the creation of math calculators, math was done using pencil, mind, and paper. The four function calculator has by time evolved to be a readily available calculator that meets our needs. They are those powerful calculators that feel the industry and academic needs which do different functions from a core and ordinary calculators. These advanced calculators can be programmed, and some have print out features.

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Solving Quadratic Equations – Use Algebra Calculator

Algebra is one of the important parts of mathematics, and it is right to say it is an essential branch of mathematics. Algebra includes three common parts in their equation such as unknown parts which are known as variable, coefficient and number values. According to the degree available in the unknown part, the algebra is known as a different name such as a linear equation, polynomial equation, quadratic equation, cubic equation, exponential equation and much more. Thus, the algebra is a large part of mathematics. Here we are going to learn solving quadratic equations in different methods.

About quadratic equation

It is one of the algebraic equation which includes two factors or roots of unknown value. If learn simply, the standard format of quadratic equation is-

ax² + bx + c = 0

Here the standard format of a quadratic equation is visible where you can find variable (x), constant or number term (c) and coefficient of x²  and x i.e. a and b.

Now solving the quadratic equation is quite simple with the latest algebra calculators but slightly difficult if solved by formula methods. Different methods you can use to solve the quadratic equations in which formula method is explained below in the content.

Consider an example to learn how to solve quadratic equation by formula method

x² + 3x – 4 = 0

Formula to identify the unknown term is: -b ± √b²-4ac⁄2a

According to the standard format of quadratic equation a = 1, b = 3 and c = -4

Put these values on the formula to find the value of a variable. You will get,

x = -3 ± √9 – 4.1. (-4)⁄2.1

x = -3 ± √9+16⁄2

x = -3 ± √25⁄2

x = -3 ± 5⁄2

Now, you can consider mathematical signs separately to identify both values separately that can balance the whole equation. Follow steps given below-

x = -3 + 5⁄2

x = 2⁄2

x = 1

And,

x = – 3 – 5⁄2

x = – 8⁄2

x = – 4

Now, you have two separate values of variable, i.e. x=1 and-4

This is formula method to solve any quadratic equation. It is quite simple, but you have to perform a much mathematical operation like multiplication, division, subtraction, and addition too. Also, you use other methods for solving a quadratic equation. In the quadratic equation, there are two roots are available that can balance the whole equation. Consider the same example to learn the root method of solving quadratic equations.  x² + 3x – 4 = 0

Here a = 1, b = 3 and c = – 4

To find out the variable values, use particular formula as-

α + β = – b⁄a

α β = c⁄a

Put the values to get the values of α and β

α + β = – 3⁄1

α + β = – 3

And

α β = -4⁄1

α β = – 4

Square both the term of ∝+β to find out unknown values as

α² + β² + 2αβ = 9

Now,

(α – β) ² + 2αβ + 22 αβ = 9

(α – β) ² + 2αβ + 22αβ = 9

(α – β) ² + 4αβ = 9

Put the values of α β in the above equation

(α – β) ² + 4 * – 4 = 9

(α – β) ² – 16 = 9

(α – β) ² = 25

α – β = 5

 

Now add α – β and α + β

You will get

2α = 2

Then

α = 1

Put the value of ∝ in any above equation

You will get

β = -4

Hence, you have a choice to use different methods to solve a quadratic equation. On the other hand, you can choose the algebra calculator that can easily find out variable values and deliver results in fast. In the algebra calculator, you just need to enter the quadratic equitation on the required field in the calculator. Thus, enter one next tap to solve the equation. The calculator solves the equation with the genuine method, and there is no short answer you will get. Thus, solving quadratic equations is quite easy with the calculator.

Solve for X – Easy Methods to get the Value of X

If you are looking for different ways via which you could solve for x, then you are welcome here. The content is meant for those students who face problems while solving radicals and exponents in algebra. After reading this content, you will get the right method to solve it. So, let’s start this learning session.

Basic linear equation

We are going to solve simple linear equation 5x – 8 = x + 4 and find out the value of X.

Step 1: At first, we will arrange 5x and x on the left-hand side and 4 and on the right-hand side.

5x – 8 = x + 4

Step 2: After that, we will solve the arrange number and here is the further procedure:

math
math

Important note: Before solving any equation, students should solve exponents if there is any to make the equation easy.

Solve it by isolating the terms (in case of exponents)

If you didn’t get it as what I meant by the word “isolating” then here is an explanation for you. It means that you should make one term disappear to get the value of X. The trick is quite popular plus makes the procedure easy. So, how to solve for x by this method?

Example: 2x² + 14 = 46

Step 1: In the above example, we are going to isolate term 14 and thus we ill subtract both the sides by 14.  Keep in mind that you should choose an opposite side for isolating a term, i.e., here 14 is positive and thus we have chosen (-14) in it.

2x² + 14 – 14 = 46 – 14

2x² = 32

Step 2: Now you see that number 14 has gone and now we can find the value of x easily. Here are its further steps:

math
math

Now, we know that 16 is the square of 4 and thus we will square root both the sides and get:

x = 4

Solving fractions by cross multiplication method 

Fractions are easy to solve, by using multiplication methods we can get the value of X. So, here is the example:

math
math

Step 1:  We will solve this by cross multiplication method where we will multiply 4) by 4 and 3 by 4.

(x – 4) (4) = (2) (4)

4x – 16 = 8

Step 2: Now we will combine the like terms like this:

4x = 8 + 16

4x = 24

X = 24 ⁄ 4

And finally, we get x = 6. The cross multiplication method is very easy but does not forget to reduce the problem into simplest form.

Solve for x using radical signs

For this one, you need to learn some basic concepts of radical sign or square roots. Now, let’s solve example

math
math

Step 1: In the first step, we will isolate the number 5 by adding 5 on both the sides like this:

math
math

Step 2: Now we are going to square both the sides:

math
math

Step 3: Again, we will subtract both the sides by 7 so that 2x remain on the LHS:

math
math

So, we have got the answer 9, and you can verify this answer by putting the value of x in the problem.

Hope so all the methods explained above let you solve for x easily and make your mathematics stronger.

Adding Fractions

A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

Adding Fractions
Adding Fractions

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

As mentioned earlier, subtracting fractions is just as easy. All you have to do is equalize the denominators and subtract the second numerator from the first numerator.

How Quadratic Equation Calculator Works

The quadratic equation calculator uses the quadratic formula in order to find the solution for the quadratic equation. The calculator can solve the quadratic equation if you type a simple type of the formula such as A, b, and C and then to hit the solve button.

Some calculator will show how the formula was used, but when you use the graphing calculator, you will solve the quadratic equation even with these that have the imaginary solution.

Quadratic Equation
Quadratic Equation

The calculator to solve the quadratic equation will help you to solve equation through completing the square and by the use of the quadratic formula. The calculator can write down the complete solution step by step.

With the calculators, you will not have to worry that there is something you do not understand. You will be taken to step by step in the learning process.  The algebra worksheet is the best way that you may hone the math skills and to practice if you have a math test.  You will not only learn about a possible solution but also get some tips.

The quadratic equation calculators are here to help you when you get stuck with a problem, and you are not able to figure it out. The calculator can help to solve the equation, and it gives details on how the problem was solved and how the answer was reached.   There are different online calculators online, and they work differently.  Some calculator can solve the problem through factoring, through completion of the square root or answering of the algebra questions.  You may find the graphing calculator, and they plot the equations. The calculators do use the technology, and it allows the plotted graphs to use up to 360 degrees. They provide a well-rounded understanding of the problems.

You can also find the algebra solvers on different websites. They are like the algebra calculator, but they are the software that offers the answers even on the tough equation.  What you will need to do is entering algebra problem, and then the software is going to do what it is left. The great algebra tool may help in providing the tutor whenever the student needs him, and it helps to reduce the costs with the long hours which come with paying the tutor.

If you want to find these calculators, you will only have to enter the name of the calculator you want in Google search. You will get some different calculators, and it is up to you to choose the one you like most.

The calculator helps the students who think that quadratic equations are a nightmare. When the students start to use the calculator and to keep up with their guides, then they will start to solve the problems on their own.

The calculator will put the method into chunks so that the students can learn about them much easily. The quadratic formula can be a mouthful but when it is divided into chunks, it will be manageable. When students see such method, they will realize that they will also use the same methods to other areas of the studies.

Fraction Calculator

Fractions can be way difficult to absorb for some students when they first start with the topic. Especially, when dealing with equivalent fractions; it seems that they do not get the head or tail of anything. The concept in reality is very simple; but if the logic still eludes you, you can try using an equivalent fractions calculator, till you get the hang of it.

Fraction Calculator
Fraction Calculator

Your math teacher tells you the equivalent fractions are two or more fractions that have the same value, but have different forms. In simple words, these fractions can be defined as fractions having the same overall value, or the same simplest ratio. These fractions indicate the same part of a whole. The easiest way to explain equivalent fractions is using the example of a round apple pie. Whether you divide a pie into two pieces and take one, or out of four pieces take 2, or further on out of 8 pieces take 4; you still get one-half of the pie to eat. So we can conclude that 1/2 is same as 2/4 or 4/8; they all are equivalent fractions.

The technique to simplify a fraction is very easy; both numerator and denominator must be divided by the same number to reduce the fraction. So remember that the value of a fraction does not change if you multiply or divide the whole fraction by the same number. Remember that the number you use for division must divide without leaving a remainder. Both the numerator and denominator of a fraction must always be whole numbers; so you can know when you have arrived at the simplest answer & cannot reduce the fraction any further. And remember, only multiplication and subtraction is valid when reducing fractions; do not try to perform addition or subtraction while reducing your fractions.

The easiest way when working with conference is to use fraction calculator to check your answers. This will boost your confidence & in the long run help you with your math homework. But remember, that using these calculator will only validate your answer; you still have to learn how to arrive at that answer in the first place.

The prized scientific calculator of your elder sister can act as your equivalent fractions calculator; you can easily check your answers using it. On the other hand, there are many math websites today offering their own version of equivalent fractions calculator, you can easily search & bookmark your favorite one to verify your answers. You can also ask your nerd brother to write a short program for an equivalent fractions calculator; whether he uses C++ or Assembly, the code to develop these calculators is very simple.

It is always important that you make sure that you visit a reliable site to do your calculations. There are some sites that tend to rob your money. It is always important that you do your homework well before choosing a site, to be in a safe situation it is ideal that you go for those sites that have reviews.

How to Solve For X in Equation

Sometime the equation may contain the letters and not the number. It may be daunting and may students worry when they hear the word algebra.  Sometime algebra can turn to be hard since you have to deal with unknown amounts and the math will not be that concrete anymore. However, the best place to start with is starting with the basic foundation, and you can then learn how to solve for x.  This means that you may figure out how much the unknown amount should be.

Solve for X
Solve for X

The basic rule is that the first step which you have to take to solve for the x is to get the x on its own and alone. At one side of an equation, everything else will be at the one side. You have to keep in mind the rule, what you need to do at one side of an equation, has to be done at another side.  This is to ensure that the equation continues to be equal.

You should start with the simple equation. The basic algebra equation will involve some simple subtraction and addition that have unknown quantity.

As you continue to learn algebra, you will have to go from the simple equation and use an equation that has even more steps. The more difficult equation will have different equations.

As you continue to get more information about how to solve the equation, it will be easier for you to solve for these letters. If you would like to be comfortable by working on algebra problems, then you should take time to practice.

Whenever students are asked to solve for x, they may assume that there is always the solution for x.  However, this is not always the case. When the solution is resolved, sometime the final results may not be achieved.

If you worry about algebra, then you have to know that it is the extension of the basic arithmetic which you are using on a daily basis.  If you know the basic, then it will be easy.  As you practice more, then the rules are going to be automatic.  If you do encounter the problems, you will then find out that rules and tricks to use in order to solve for x.

 You should review the basic mathematics and arithmetic. Even when you remember the negative numbers, you can add the fraction, do the practice sets and this will boost your confidence.  When it comes to algebra, you will need to perform the basic operation, but now there are letters mixed with the equations. The letters are called the variables.   When you have to solve algebra, you will have to find the value of a variable.

When you solve for x, you will have to combine. First the like terms and these are terms that have same variables.  When your multiply or divide a term, you should do it on both sides of the equation. When you reach to the last solution, it will be called factors of a solution.  Factoring in the algebra is breaking down things that seem to become even more complex.  When you break down items in smaller pieces, you will have to apply the math skills and to find answers.