



This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module reviews the key concepts from the chapter "Techniques of Estimation."
Summary of key concepts
Estimation (
[link] )
Estimation is the process of determining an expected value of a computation.
Estimation by rounding (
[link] )
The
rounding technique estimates the result of a computation by rounding the numbers involved in the computation to one or two nonzero digits. For example,
$\text{512}+\text{896}$ can be estimated by
$\text{500}+\text{900}=\text{1,400}$ .
When several numbers are close to one particular number, they are said to
cluster near that particular number.
Estimation by clustering (
[link] )
The
clustering technique of estimation can be used when
 there are more than two numbers to be added, and
 clustering occurs.
For example,
$\text{31}+\text{62}+\text{28}+\text{59}$ can be estimated by
$(\text{2}\cdot \text{30})+(\text{2}\cdot \text{60})=\text{60}+\text{120}=\text{180}$
Distributive property (
[link] )
The
distributive property is a characteristic of numbers that involves both addition and multiplication. For example,
$3(\text{4}+\text{6})=\text{3}\cdot \text{4}+\text{3}\cdot \text{6}=\text{12}+\text{18}=\text{30}$
Estimation using the distributive property (
[link] )
The
distributive property can be used to obtain exact results for a multiplication.
For example,
$\text{15}\cdot \text{23}=\text{15}\cdot (\text{20}+\text{3})=\text{15}\cdot \text{20}+\text{15}\cdot \text{3}=\text{300}+\text{45}=\text{345}$
Estimation by rounding fractions (
[link] )
Estimation by rounding fractions commonly rounds fractions to
$\frac{1}{4}$ ,
$\frac{1}{2}$ ,
$\frac{3}{4}$ , 0, and 1.
For example,
$\frac{5}{\text{12}}+\frac{5}{\text{16}}$ can be estimated by
$\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$
Questions & Answers
Introduction about quantum dots in nanotechnology
nano basically means 10^(9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials and their applications of sensors.
what is system testing?
AMJAD
7hours 36 min  4hours 50 min
Source:
OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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