Maintain by Mr. Raymond Yong,
Sabah Tshung Tsin Pre-U Centre
Welcome
to MathWeb of Sabah Tshung Tsin Pre-U Centre. This web site is designed
for the students who study Mathematics. The site contains Notes, Questions
of Mathematics Topics covered in The Sabah Tshung Tsin Pre-U Centre. Interactive
activities and Java applets for Mathematics Learning can be found here.
Please bookmark this site and make this site an important resource for
your learning of Mathematics. Mean while, thefollowing topics are ready
for your visit:
|| Indices
and proportionality || Polynomial ||
Identities || equations || inequalities
||
|| Functions ( algebraic, polynomial, quadratic,
logarithmic, exponential, modulus ) and its properties ||
|| Graphs and Coordinate Geometry || Plane Trigonometry || Trigonometric
functions and identities ||
|| Differentiation || Integration || Differential Equations || Sequences
|| Series || Binomial Expansion || Power Series ||
Topic:
Indices and Algebraic Expressions.
Factoring
and the use of Indicies by
[Click
icon here]
This is an excellent
site on Indices, simplifying algebraic expression. After going through
the lessons, I am sure you will
have a
good foundation on the topic.
Exercises and practices on indices || Beginners
Level || Intermediate
Level || Advanced
Level ||
Surds(radical and roots) by
[Click
icon here]
This is an excellent site
on surds, simplifying alegebraic expression containing surd(radical) sign,
the operation(adding, subtraction, multiplying, and dividing surd expression.
It also includes rationalisation.
Exercises and practices on surds || Beginners
Level || Intermediate
Level || Advanced
Level ||
Notes
on Indices(Exponents)
In working with
production functions and growth models, we often have to work with exponents,
including fractional exponents. A brief review of the basics follows.
1) Exponents
Definitions
xa
= x times x times x ... to a total of a times.
x
-a
= 1 / xa
Negative exponents give the reciprocal of the positive expontne
For example
x
-2
= 1 / x2
2) Operations
Multiplying variables raised to a power involves adding their
exponents.
xa
times xb = x a + b
x2 times x3 = x 5
Dividing
variables raised to a power involves subtracting their exponents.
xa
divided by xb = x a - b
x5
/ x3 = x 2
Exponentiation
of variables raised to a power involves multiplying the exponents.
xa
raised to the b power = x a b
x5
squared = x 10
Note: There are no easy rules for addition and subtraction of variables
raised to a power.
