Search
Girls in STEM
About FAWE Elearning
We at FAWE have built this platform to aid learners, trainers and mentors get practical help with content, an interactive platform and tools to power their teaching and learning of STEM subjects
Search
More Girls in STEM
Histoires inspirantes de femmes scientifiques africainesUncategorized
PRODUCTION OF ARTIFICIAL COLOSTRUM TO REDUCE CALF MORTALITY AND INCREASE THEIR PERFORMANCEUncategorized
- Inspiring stories from African women scientistsUncategorized
Addressing gender stereotypes in the classroomGeneral
Gender assumptions that challenge a quality education for girls in UgandaEducation
Strengthening Gender Responsive Pedagogy for STEM in UgandaEducation
RESPECT FOR WOMEN IS PARAMOUNTNetworking
Radical
Definition of the Radical
For all real x, y > 0 , and all integers a > 0 ,
A number which can be expressed as a fraction of integers (assuming the denominator is never 0)
is called a rational number. Examples of rational numbers are 5/2, -4/5 and 2.
A number which cannot be expressed as a fraction of two integers is called an irrational number.
Examples of irrational numbers are
A number which can be expressed as a fraction of integers (assuming the denominator is never 0) is called a rational number. Examples of rational numbers are 5/2, -4/5 and 2.
An irrational number involving a root is called a surd. Surds occur frequently in trigonometry,
calculus and coordinate geometry. Usually, the exact value of a surd cannot be determined but an
approximate value of it can be found by using calculators or mathematical tables. In this chapter,
General Rules of Surds
Multiplication of surds
Division of surds
These rules are useful for simplifying two or more surds of for combining them into one single
surd.
Rationalization of the Denominator.
When a fraction has a surd in its denominator, e.g.
it is usual to eliminate the surd in the denominator. In fact, the writing of surds in the denominators of fractions should be avoided.
The process of removing this surd is called rationalizing of the denominator.
are specially related surds known as conjugate surds. The product of conjugate surds is always a rational number.
For example
Example 3
Example 4
Solution:
Simplify
Example 5
Simplify, without using tables or calculators, the value of
Indices
If a positive integer a is multiplied by itself three times, we get
means the nth power of a, where n is any positive index of the positive integer a.
Rules of Indices
There are several important rules to remember when dealing with indices.
If a, b, m and n are positive integers, then
Solving Exponential Equations
Example 3
Solve the following exponential equations
Example 5
Logarithms
Definition:
Laws of Logarithms
Changing the Base of Logarithms
Laws of Logarithms
Changing the Base of Logarithms
ASSIGNMENT : Surds, Indices, and Logarithms Assignment MARKS : 10 DURATION : 1 week, 3 days