# 1.7 Summary of key concepts

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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 Addition and Subtraction of Whole Numbers.

## Number / numeral ( [link] )

A number is a concept. It exists only in the mind. A numeral is a symbol that represents a number. It is customary not to distinguish between the two (but we should remain aware of the difference).

## Hindu-arabic numeration system ( [link] )

In our society, we use the Hindu-Arabic numeration system. It was invented by the Hindus shortly before the third century and popularized by the Arabs about a thousand years later.

## Digits ( [link] )

The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are called digits .

## Base ten positional system ( [link] )

The Hindu-Arabic numeration system is a positional number system with base ten . Each position has value that is ten times the value of the position to its right.

## Commas / periods ( [link] )

Commas are used to separate digits into groups of three. Each group of three is called a period . Each period has a name. From right to left, they are ones, thou­sands, millions, billions, etc.

## Whole numbers ( [link] )

A whole number is any number that is formed using only the digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).

## Number line ( [link] )

The number line allows us to visually display the whole numbers.

## Graphing ( [link] )

Graphing a whole number is a term used for visually displaying the whole number. The graph of 4 appears below.

## Reading whole numbers ( [link] )

To express a whole number as a verbal phrase:
1. Begin at the right and, working right to left, separate the number into distinct periods by inserting commas every three digits.
2. Begin at the left, and read each period individually.

## Writing whole numbers ( [link] )

To rename a number that is expressed in words to a number expressed in digits:
1. Notice that a number expressed as a verbal phrase will have its periods set off by commas.
2. Start at the beginning of the sentence, and write each period of numbers individ­ually.
3. Use commas to separate periods, and combine the periods to form one number.

## Rounding ( [link] )

Rounding is the process of approximating the number of a group of objects by mentally "seeing" the collection as occurring in groups of tens, hundreds, thou­sands, etc.

Addition is the process of combining two or more objects (real or intuitive) to form a new, third object, the total, or sum.

## Addends / sum ( [link] )

In addition, the numbers being added are called addends and the result, or total, the sum .

## Subtraction ( [link] )

Subtraction is the process of determining the remainder when part of the total is removed.

## Commutative property of addition ( [link] )

If two whole numbers are added in either of two orders, the sum will not change.
$3+5=5+3$

## Associative property of addition ( [link] )

If three whole numbers are to be added, the sum will be the same if the first two are added and that sum is then added to the third, or if the second two are added and the first is added to that sum.
$\left(3+5\right)+2=3+\left(5+2\right)$

## Parentheses in addition ( [link] )

Parentheses in addition indicate which numbers are to be added first.

The whole number 0 is called the additive identity since, when it is added to any particular whole number, the sum is identical to that whole number.
$0+7=7$
$7+0=7$

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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?
absolutely yes
Daniel
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
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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