Steps in problem solving

While math problem solving, the concept of the different operators must be clear to the person and it must also be known that which operator should be used to get the solution to the given problem.
 We find that the Steps in problem solving should be known and must be clear to the person who is involved in solving the problem.  Different word problems have different solutions. While solving the problem, we should first try to understand what the meaning of the problem is and what the requirement of the solution is. Once the problem is clear, we take care that which operator will be used to get the solution to the given problem.
If we remember certain key words, and for what purpose these words are used, we will easily be able to get the solution to the given problem. So we will look at different words and for which mathematical operator these words are mean for.
Let us start with the “+“operator that we have earlier studied in CBSE. If the problem has the  word ADD, Sum, Total, IN ALL, MORE, increased by, Added to , then these words are used to represent the Addition operator of the  given problem. On another hand, if we have the following words in the word problems “REDUCED”, “SUBTRACTED”, “DECREASED BY”, “LESS”, “DIFFERENCE”, then it is clear that  in the given problem we need to find the  difference of the  two numbers.
 Now we look at the multiplication and division. In case we have the value of unit object and we need to find the value of more than one object, we will multiply the given numbers. More over we say multiplication is used for repetitive addition. On another hand to divide or distribute the object equally we write divide.


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Problem solving strategies

Math problem solver have the steps to solve the problem. It is the way of defining the problem. In Problem solving strategies we discuss the process of solving large problems that have some techniques that are called as problem solving techniques. In first step large problem is broken into small solvable problems.
If the problem is more complex and difficult then it will be subdivided into less complex solvable part. After breaking the large problem into the small solvable problem define all the variables of the problem and also all the functions and If there is any need of change then that part or functions must be modulated .
The problem solving strategies from Gujarat board can be described as:
(a) Write the problem in your own words to understand the problem in more effective way and List all the variables and the function of the problem that are applied on these variables.
(b) After then according to the first strategy make the appropriate diagram according to the given problem and find the answer based on the diagram.
(c) Other strategy to solve the problem is to make the record or list for all the calculation that is done to solve the problem and calculate the answer.
(d)Predict the answer of the given problem is another strategy and when we get the answer according to the calculation then check the predicted answer.
(e) First divide the problem into small parts and then solve these parts that is known as Divide and conquer the problem and again combine them to get the answer.
(f) Find the problems that have the same pattern as solved previously and follow that pattern to solve the problem.


In upcoming posts we will discuss about Steps in problem solving and Parallel lines, perpendicular lines, geometry. Visit our website for information on rational expressions calculator