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10                                         Stepwise Thinking







                    Pre-Processing
                    Pre-Processing
                         • Problem Solving                               •  Stepwise Thinking
                         • Sequence of Steps

                         • Decision Making and Repetition of Steps

              In our everyday lives, we come across many situations. Some of these situations involve
              problems that need to be solved.


              PROBLEM SOLVING
              Some of the problems can involve mathematical calculations, while others involve small
              tasks that need to be done to solve the problem. The process of devising a solution to

              a problem is called Problem Solving.
              Problem Solving involves reasoning and logical thinking. Logical thinking is the ability to
              understand a given problem and develop a series of steps to solve it. Reasoning is the

              ability to analyse and choose the best solution among several possible solutions.
              There are several steps involved in problem solving. These are:

                 1.  Identify the problem: This step involves understanding the problem clearly and
                      collecting all required information about it.

                 2.  Devising a solution: This step involves preparing
                      a series of steps to solve the problem. All possible                        Identify
                                                                                                    the
                      solutions are pursued and written down.                                     problem

                 3.  Choose  the  best  solution:  This  step involves
                      analysing  the  various  solutions  and  visualising          Implement    Problem      Devising a
                                                                                       the
                      the effects of implementing each solution.                     solution     Solving     solution
                 4.  Implement  the  solution: This  step involves

                      executing  the  chosen  solution  to  solve  the                            Choose
                      problem.  The  results  of  the  execution  are                             the best
                                                                                                  solution
                      evaluated to make sure the desired objective is

                      achieved.
              Example 1:  Calculate the cost of 20 pens, given the cost price of one pen is ₹ 35.

              Step 1:  The problem involves calculating cost of pens. We have the number of pens –
                       20, and cost of each pen – ₹ 35.

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