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Exponents and radicals


               Chapter Five






               Exponents and radicals
          FOR ONLINE READING ONLY




             Introduction


             Numbers can be expressed in different ways, each of which illustrates how mathematical   Mathematics for Secondary Schools
             problems can be approached and solved. Simplifying complex problems with challenging
             equations and solving exponential such as growth and electrical networks may require
             an understanding of exponents and radicals. In this chapter, you will learn the laws
             of exponents, perform operations on  radicals, and rationalize denominators. The
             competencies developed will enable you to express numbers in short form and apply
             the knowledge to describe scientific phenomena such as population growth, magnitude
             of earthquakes, rates of spread of diseases and rate of growth or decay of bacteria, and
             many other real-life applications.


                       Think
                       Solving mathematical expressions and equations involving powers and
                       roots without the concept of radicals and exponents.



           Numbers  can  be  expressed  in  different
           ways depending on the context and how       2.  Study  any  unique  pattern  and
                                                          provide reasons regarding  your
           they are used. Some of these ways include      observations.
           the use of exponents and radicals. Engage   3.  Share your conclusion  with other
           Activity 5.1 to explore different ways of      students through a method of your
           expressing numbers�                            choice.



             Activity 5�1: Expressing numbers in      Exponents
                            different ways            From Activity 5.1, one may have explored

            1.  Choose  five  whole  numbers  and     various ways used to express numbers.
                express  them  in  different  ways    One of the common methods of expressing
                you know. You can consult various     numbers is by multiplying  the same or
                sources such as the internet to learn   different numbers several times. Study the
                such ways.
                                                      following examples.

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           Student's Book Form Two


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