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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module reviews the key concepts from the chapter "Ratios and Rates."

Summary of key concepts

Denominate numbers ( [link] )

Numbers that appear along with units are denominate numbers . The amounts 6 dollars and 4 pints are examples of denominate numbers.

Like and unlike denominate numbers ( [link] )

Like denominate numbers are denominate numbers with like units. If the units are not the same, the numbers are unlike denominate numbers .

Pure numbers ( [link] )

Numbers appearing without a unit are pure numbers .

Comparing numbers by subtraction and division ( [link] )

Comparison of two numbers by subtraction indicates how much more one number is than another. Comparison by division indicates how many times larger or smaller one number is than another.

Comparing pure or like denominate numbers by subtraction ( [link] )

Numbers can be compared by subtraction if and only if they are pure numbers or like denominate numbers.

Ratio rate ( [link] )

A comparison, by division, of two like denominate numbers is a ratio . A comparison, by division, of two unlike denominate numbers is a rate .

Proportion ( [link] )

A proportion is a statement that two ratios or rates are equal.

3   people 2 jobs = 6   people 4 jobs size 12{ { {3`"people"} over {"2 jobs"} } = { {6`"people"} over {"4 jobs"} } } {} is a proportion.

Solving a proportion ( [link] )

To solve a proportion that contains three known numbers and a letter that repre­sents an unknown quantity, perform the cross multiplication, then divide the product of the two numbers by the number that multiplies the letter.

Proportions involving rates ( [link] )

When writing a proportion involving rates it is very important to write it so that the same type of units appears on the same side of either the equal sign or the fraction bar.

unit type 1 unit type 2 = unit type 1 unit type 2   or   unit type 1 unit type 1 = unit type 2 unit type 2 size 12{ { {"unit type 1"} over {"unit type 2"} } = { {"unit type 1"} over {"unit type 2"} } ```````` ital "or"`````` { {"unit type 1"} over {"unit type 1"} } = { {"unit type 2"} over {"unit type 2"} } } {}

Five-step method for solving proportions ( [link] )

  1. By careful reading, determine what the unknown quantity is and represent it with some letter. There will be only one unknown in a problem.
  2. Identify the three specified numbers.
  3. Determine which comparisons are to be made and set up the proportion.
  4. Solve the proportion.
  5. Interpret and write a conclusion.
When solving applied problems, ALWAYS begin by determining the unknown quantity and representing it with a letter.

Percents ( [link] )

A ratio in which one number is compared to 100 is a percent . Percent means "for each hundred."

Conversion of fractions, decimals, and percents ( [link] )

It is possible to convert decimals to percents, fractions to percents, percents to decimals, and percents to fractions.

Applications of percents:

The three basic types of percent problems involve a base , a percentage , and a percent .

Base ( [link] )

The base is the number used for comparison.

Percentage ( [link] )

The percentage is the number being compared to the base.

Percent ( [link] )

By its definition, percent means part of .

Solving problems ( [link] )

Percentage = ( percent ) × ( base ) size 12{"Percentage"= \( "percent" \) times \( "base" \) } {}
Percent = percentage base size 12{"Percent"= { {"percentage"} over {"base"} } } {}
Base = percentage percent size 12{"Base"= { {"percentage"} over {"percent"} } } {}

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
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?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
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?
s. Reply
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
Devang Reply
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
Abhijith Reply
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?
s. Reply
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 ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
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
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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