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This module presents a definition of whole numbers and then talks about how numbers are named in English. It presents the idea of periods, such as units, thousands, millions, and so on. It has several exercises for writing out numbers into words.

Numbers and numerals

Numbers that are formed using only the following digits are called whole numbers :

0 1 2 3 4 5 6 7 8 9

The whole numbers in order are:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, …

The three dots at the end mean “and so on in the same pattern.”

The whole numbers can be visualized by constructing a number line. To construct a number line, we simply draw a straight line and choose any point on the line and label it 0. This point is called the origin. We then choose some convenient length, and moving to the right, mark off consecutive and equal intervals (parts) along the line starting at 0. We label each new interval endpoint with the next whole number.

An image of the number line starting at zero and going through ten by integers

We can visually display a whole number by drawing a closed circle at the point labeled with that whole number. Another phrase for visually displaying a whole number is graphing the whole number. The word graph means to “visually display.”

The names for whole numbers

The Hindu-Arabic numerals 0 1 2 3 4 5 6 7 8 9 are called digits. We can form any number in the number system by selecting one or more digits and placing them in certain positions. Each position has a particular value. The Hindu mathematician who devised the system in about 500 A.D. stated that “from place to place each is ten times the preceding.” It is for this reason that our number system is called a positional number system with base ten.

When numbers are composed of more than three digits, commas are sometimes used to separate the digits into groups of three (such as 1,465,345). These groups of three are called periods, and they greatly simplify reading numbers.

In the Hindu-Arabic numeration system, a period has a value assigned to each of its three positions, and the values are the same for each period. The position values are from right to left ones, tens, hundreds.

Each period contains a position for the values of one, ten, and hundred. Notice that, in looking from right to left, the value of each position is ten times the preceding. Each period has a particular name.

An image of the names of the first five periods. Reading right to left units thousands millions billions trillions

As we continue from right to left, there are more periods. The five periods listed above are the most common, and in our study of introductory mathematics, they are sufficient.

The following diagram illustrates our positional number system to trillions. (There are, to be sure, other periods.)

An image showing from right to left the period named units has ones tens hundreds, the period named thousands has ones tens hundreds, the period named millions has ones tens hundreds, the period named billions has ones tens hundreds, and the period named trillions has ones tens hundreds

In our positional number system, the value of a digit is determined by its position in the number.

Because our number system is a positional number system, reading and writing whole numbers is quite simple.

Reading whole numbers

To convert a number that is formed by digits into a verbal phrase, use the following method:

  1. Beginning at the right and working right to left, separate the number into distinct periods by inserting commas every three digits (e.g. “123456” becomes “123,456”).
  2. Beginning at the left, read each period individually, saying the period name.

Here are a few examples for writing the numbers as words.

Example 1

Write out 42958.

  1. Beginning at the right, we can separate this number into distinct periods by inserting a comma between the 2 and 9, which is 42,958.
  2. Beginning at the left, we read each period individually:
    • Thousands period: __ 4 2 → Forty-two thousand,
    • Units period: 9 5 8 → nine hundred fifty-eight.

Solution: Forty-two thousand, nine hundred fifty-eight.

Example 2

Write out 307991343.

  1. Beginning at the right, separate this number into distinct periods by placing commas between the 1 and 3, and the 7 and 9, resulting in “307,991,343”.
  2. Beginning at the left, read each period individually.
  • Millions period: 3 0 7 → Three hundred seven million,
  • Thousands period: 9 9 1 → nine hundred ninety-one thousand,
  • Units period: 3 4 3 → three hundred forty-three.

Solution: Three hundred seven million, nine hundred ninety-one thousand, three hundred forty-three

Example 3

Write out 36000000001.

  1. Beginning at the right, separate this number into distinct periods by placing commas, resulting in 36,000,000,001.
  2. Beginning at the left, read each period individually.
  • Trillions period: __ 3 6 → Thirty-six trillion,
  • Billions period: 0 0 0 → zero billion,
  • Millions period: 0 0 0 → zero million,
  • Thousands period: 0 0 0 → zero thousand,
  • Units period: 0 0 1 → one.

Solution: Thirty-six trillion, one.

Exercises

Write out each number in words.

Write out 12,341.

Twelve thousand, three hundred forty-one.

Write out 202,082,003.

Two hundred two million, eighty-two thousand, three.

Write out 1,000,010.

One million, ten.

For the following exercises, write the numbers for the following text.

Four hundred sixty thousand, five-hundred forty two.

460,542

Fourteen million, sixteen thousand, seven.

14,016,007

Three billion, eight-hundred three thousand.

3,000,803,000

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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