<< Chapter < Page Chapter >> Page >
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.

Summary of key concepts

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.
Three segments, labeled from left to right, hundreds, tens, and ones.

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.
A number line from 0 to 8.

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 ( [link] )

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.

Minuend / subtrahend difference ( [link] )

18 - 11 = 7. 18 is the minuend, 11 is the subtrahend, and 7 is the difference.

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 size 12{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.
( 3 + 5 ) + 2 = 3 + ( 5 + 2 ) size 12{ \( 3+5 \) +2=3+ \( 5+2 \) } {}

Parentheses in addition ( [link] )

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

Additive identity ( [link] )

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 size 12{0+7=7} {}
7 + 0 = 7 size 12{7+0=7} {}

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
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.
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
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
characteristics of micro business
for teaching engĺish at school how nano technology help us
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
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
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.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
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
Privacy Information Security Software Version 1.1a
7hours 36 min - 4hours 50 min
Tanis Reply

Get the best Algebra and trigonometry course in your pocket!

Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Fundamentals of mathematics' conversation and receive update notifications?