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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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