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Sample set a

Read the following numbers.

6.8

6.8 is six and eight tenths. The 8 is in the tenths position.

Some people read this as "six point eight." This phrasing gets the message across, but technically, "six and eight tenths" is the correct phrasing.

14.116

14.116 is fourteen and one hundred sixteen thousandths. The six is in the thousandths position.

0.0019

0.0019 is nineteen ten thousandths. The nine is in the ten thousandths position.

81

Eighty-one

In this problem, the indication is that any whole number is a decimal fraction. Whole numbers are often called decimal numbers .

81 = 81 . 0 size 12{"81"="81" "." 0} {}

Practice set a

Read the following decimal fractions.

12.9

twelve and nine tenths

4.86

four and eighty-six hundredths

7.00002

seven and two hundred thousandths

0.030405

thirty thousand four hundred five millionths

Writing decimal fractions

Writing a decimal fraction

To write a decimal fraction,
  1. Write the whole number part.
  2. Write a decimal point for the word "and."
  3. Write the decimal part of the number so that the right-most digit appears in the position indicated in the word name. If necessary, insert zeros to the right of the decimal point in order that the right-most digit appears in the correct position.

Sample set b

Write each number.

Thirty-one and twelve hundredths.

The decimal position indicated is the hundredths position.

31.12

Two and three hundred-thousandths.

The decimal position indicated is the hundred thousandths. We'll need to insert enough zeros to the immediate right of the decimal point in order to locate the 3 in the correct position.

2.00003

Six thousand twenty-seven and one hundred four millionths.

The decimal position indicated is the millionths position. We'll need to insert enough zeros to the immediate right of the decimal point in order to locate the 4 in the correct position.

6,027.000104

Seventeen hundredths.

The decimal position indicated is the hundredths position.

0.17

Practice set b

Write each decimal fraction.

Three hundred six and forty-nine hundredths.

306.49

Nine and four thousandths.

9.004

Sixty-one millionths.

0.000061

Exercises

For the following three problems, give the decimal name of the posi­tion of the given number in each decimal fraction.

1. 3.941
9 is in the position.
4 is in the position.
1 is in the position.

Tenths; hundredths, thousandths

17.1085
1 is in the position.
0 is in the position.
8 is in the position.
5 is in the position.

652.3561927
9 is in the position.
7 is in the position.

Hundred thousandths; ten millionths

For the following 7 problems, read each decimal fraction by writing it.

9.2

8.1

eight and one tenth

10.15

55.06

fifty-five and six hundredths

0.78

1.904

one and nine hundred four thousandths

10.00011

For the following 10 problems, write each decimal fraction.

Three and twenty one-hundredths.

3.20

Fourteen and sixty seven-hundredths.

One and eight tenths.

1.8

Sixty-one and five tenths.

Five hundred eleven and four thousandths.

511.004

Thirty-three and twelve ten-thousandths.

Nine hundred forty-seven thousandths.

0.947

Two millionths.

Seventy-one hundred-thousandths.

0.00071

One and ten ten-millionths.

Calculator problems

For the following 10 problems, perform each division using a calculator. Then write the resulting decimal using words.

3 ÷ 4 size 12{3¸4} {}

seventy-five hundredths

1 ÷ 8 size 12{1¸8} {}

4 ÷ 10 size 12{4¸"10"} {}

four tenths

2 ÷ 5 size 12{2¸5} {}

4 ÷ 25 size 12{4¸"25"} {}

sixteen hundredths

1 ÷ 50 size 12{1¸"50"} {}

3 ÷ 16 size 12{3¸"16"} {}

one thousand eight hundred seventy-five ten thousandths

15 ÷ 8 size 12{"15"¸8} {}

11 ÷ 20 size 12{"11"¸"20"} {}

fifty-five hundredths

9 ÷ 40 size 12{9¸"40"} {}

Exercises for review

( [link] ) Round 2,614 to the nearest ten.

2610

( [link] ) Is 691,428,471 divisible by 3?

( [link] ) Determine the missing numerator.
3 14 = ? 56 size 12{ { {3} over {14} } = { {?} over {"56"} } } {}

12

( [link] ) Find 3 16 of 32 39 size 12{ { {3} over {"16"} } " of " { {"32"} over {"39"} } } {}

( [link] ) Find the value of 25 81 + 2 3 2 + 1 9 size 12{ sqrt { { {"25"} over {"81"} } } + left ( { {2} over {3} } right ) rSup { size 8{2} } + { {1} over {9} } } {}

10 9   or   1 1 9 size 12{ { {"10"} over {9} } " or "1 { {1} over {9} } } {}

Questions & Answers

what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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
How can I make nanorobot?
Lily
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
how can I make nanorobot?
Lily
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
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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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