Page 46 - Mathematics
P. 46

Chapter

                 Three                             Approximations







               Introduction


               Understanding approximations is important in our daily life. Approximations
               are used in various real life situations like estimating cost of items, distances,
    Tanzania Institute of Education
               and ingredients for a recipe. In this chapter, you will learn about rounding
               off numbers by place values, number of decimal places and by significant
               figures. Also, you will learn how to perform approximation in calculations. The
               competencies developed will help you to perform real-life activities such as
               estimating number of things, analysing large data, making quick calculations,
               preparing budgets, and many other applications.



            Meaning of approximations
            Approximation is a process of finding a number that is closest to the exact value.
            It involves expressing a number into a higher or lower value which is close to the
            exact value. Approximation can be termed as estimation and is represented by
            the symbol ̔ ≈̕.




               Activity 3.1: Estimating challenge

               1.  In your surrounding environment (class or home), estimate the number
                   of objects or students available or measurements of objects.
               2.  Record your answers and perform actual counting or measurements and
                   find the difference.
               3.  Compare the differences you have noted between the estimated and actual
    Mathematics Form One  Rounding off numbers
                   measurement and comment on the differences.





            Rounding off numbers is a process of making a number simpler, but keeping its
            value closer to the original value. The outcome is less precise but more user-friendly.
            Rounding off the number can be done by considering place values, number of
            decimal places, and number of significant figures.

                                                  40




                                                                                        25/10/2024   09:51:12
   Mathematics form 1.indd   40
   Mathematics form 1.indd   40                                                         25/10/2024   09:51:12
   41   42   43   44   45   46   47   48   49   50   51