How To Solve A Math Problem in 7 Steps

A math problem can be solved in many ways. There is a general way to solve any math problem. Do not get bored by seeing math problem. If you approach any problem with the clear mind, then half of  your worried will be over.

Different people follow different method to solve a problem and take different time to finish the problem.

There are some simple and general steps to solve a math problem.

Step 1: Read out the problem carefully twice and get an idea about it. Determine the area of the problem like trigonometry, algebra and calculus, etc. In some problem there are some significant topic in which you should have the particular knowledge about that topic. Write down what is given and what you have to find.

Step 2: Think in a roughly way what is needed to get the solution, whether you have enough knowledge about the  area of your problem and what formula should use, etc. If not then seek for help from your teacher or any math solver. There are many websites or free online math tutor that offers the basic math concept. Collect all important information related to the problem.

Step 3: Start solving your problem. Divide your problem into sub parts. Proceed problem logically by part by part. If needed draw graph, table and figure. Apply your math skills.

Step 4: Write down all the step and calculation. Avoid solving full problem in your mind and come up with the solution directly. Writing down all the steps will help you to cross check your problem. 

Step 5: Once you get the solution cross check all the calculation part and check if you did any writing error or did you miss any step.

Step 6: Check your solution with the answer sheet. Whether your solution is correct or not.

Step 7: If you can not find the exact solution to your problem, don't give up. If you try to solve it once more. Constantly facing the same questions, you will be able to find the right solution and learn how to solve the problem.

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How To Make Math Simple

When it comes to maths, almost everyone suffer with the concepts and fundamental. Then they set about memorizing the problems. I always hear Math helper, Mathematics is like a language. “Mathematics is a pure language – it is the language of science. It is unique among all the languages in its ability to provide fine expression for every idea or concept that can be formulated in its terms.” This is the reason why math is not simple as other subjects.




But math can be simple by following these easy steps. 

1) Be clear with your basics:

The most important thing why people struggle with mathematics is because their basics are not well clear. The first thing we all should do is try to be a master of mathematics basics. Start with the algebra and geometry, then further go for calculus trigonometry etc. Ones clear all the basics apply it to the  small problems.

2) Refer as many books as possible:

Refer book means take your math book which almost given in all the schools or we can take help from an online math tutor which book should refer to which class. Take a small section of math book study ahead and try to understand it. Refer as many books as possible because in each book the method of solving the problem is different so that we can choose the most comfortable method. After this set the material for  tomorrow.  

3) Give more time for self study:

This is the most efficient way of studying math. Self analysis is very important for making math simple. Start with the topic which you feel easy and give more time for the topic which you feel though. Take help from an online math tutor to guide you. Remember math is the subject which will often put you out of the comfort zone, so no need worry as this is the part of learning process. By self study you can make connections in math, so many topics in math are related to each other try to analysis it.

4) Practice math :

Practice is the key  for understanding  math, try to do as many as a problem you can do until you understand the concepts of the topic. “Practice makes you perfect”, This is true in mathematics. Solve all the example problem first, then go to the practice problem if you are stuck somewhere take help from your math helper. Always write the problem and practice.  


Summary:

There are some easy step by following this steps math would not be challenging anymore and student would start loving math.

Introducing Histogram

A histogram is a graphical representation of statistical frequency distribution. It is usually used for continuous variable. The data is represented as rectangles of varying heights and constant width. The width is actually the class interval of the data set. The height of each rectangle is proportional to the frequency of the class that it represents.

The following histogram example will help you understand how to construct a histogram.

Sample problem:
The following data table gives the frequency distribution of miles per gallon of fuel of 17 persons using a particular car model. 

Miles per gallon    Frequency
0 – 5 miles                 0
5 – 10 miles               1
10 – 15 miles             2
15 – 20 miles             4
20 – 25 miles             4
25 – 30 miles             2
30 – 35 miles             2
35 – 40 miles             1
40 – 45 miles             1
45 – 50 miles             0

Make a histogram representing the above data.

Solution: Since in this case we are directly given the frequency distribution, the construction of the graphical representation is relatively easy. However if we are only given the data set, then we first need to make the frequency distribution table as given above for it before we can construct the histogram. The graph for this data would look as follows:



Note that the width of each of the rectangles is same. That is because the class intervals given to us in the data have equal widths. The heights of the rectangles are proportional to the corresponding frequencies.

Histograms are extremely useful tools for graphical representation of data, specially when our target viewers are laymans and not statisticians. It has a better impact that the tabular form of frequency distribution table. It is a predominantly convenient method of representing a frequency distribution. It gives the viewer a gist of the underlying frequency curve of the variable under study. There are also some statistical measures (parameters) that can be found (or calculated) using a histogram. It simplifies comparison between frequencies of different classes. It is easier to compare as it is in the form of a diagram.

Histogram analysis can be done by visual inspection. Let us take a look at the following histogram as an example.

 

The above picture represents the heights of 30 people. We can see from the picture that most of these 30 persons fall between the height of 149.5 to 159.5 cm. Thus we can say that the mode of the given data is 9. (Recollect that earlier in this article I had said that we could find some statistical parameter from such a graphical representation of data. One of them is mode that we just found). We can also see that the minimum frequency is 1. That means there is only one person whose height is between 189.5 to 199.5 cm. We know that the total number of people is 30. Therefore the 15th person would have the median height. In this case, the first bar has 6 persons, the second bar as 9 persons. 6 + 9 = 15. Therefore the median height would be the end of the second bar, which is 159.5 cm.

This and a lot more information can be obtained from a histogram. This is the most commonly used tool in corporate reports and government censuses.