# 6.11 Exercise supplement

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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is an exercise supplement for the chapter "Decimals" and contains many exercise problems. Odd problems are accompanied by solutions.

## Reading and writing decimals ( [link] )

The decimal digit that appears two places to the right of the decimal point is in the position.

hundredths

The decimal digit that appears four places to the right of the decimal point is in the position.

For problems 3-8, read each decimal by writing it in words.

7.2

seven and two tenths

8.105

16.52

sixteen and fifty-two hundredths

5.9271

0.005

five thousandths

4.01701

For problems 9-13, write each decimal using digits.

Nine and twelve-hundredths.

9.12

Two and one hundred seventy-seven thousandths.

Fifty-six and thirty-five ten-thousandths.

56.0035

Four tenths.

Four thousand eighty-one millionths.

0.004081

## Converting a decimal to a fraction ( [link] )

For problem 14-20, convert each decimal to a proper fraction or a mixed number.

1.07

58.63

$\text{85}\frac{\text{63}}{\text{100}}$

0.05

$0\text{.}\text{14}\frac{2}{3}$

$\frac{\text{11}}{\text{75}}$

$1\text{.}\text{09}\frac{1}{8}$

$4\text{.}\text{01}\frac{1}{\text{27}}$

$4\frac{7}{\text{675}}$

$9\text{.}\text{11}\frac{1}{9}$

## Rounding decimals ( [link] )

For problems 21-25, round each decimal to the specified position.

4.087 to the nearest hundredth.

4.09

4.087 to the nearest tenth.

16.5218 to the nearest one.

17

817.42 to the nearest ten.

0.9811602 to the nearest one.

1

## Addition, subtraction, multiplication and division of decimals, and nonterminating divisions ( [link] , [link] , [link] , [link] )

For problem 26-45, perform each operation and simplify.

$7\text{.}\text{10}+2\text{.}\text{98}$

$\text{14}\text{.}\text{007}-5\text{.}\text{061}$

8.946

$1\text{.}2\cdot 8\text{.}6$

$\text{41}\text{.}8\cdot 0\text{.}\text{19}$

7.942

$\text{57}\text{.}\text{51}÷2\text{.}7$

$0\text{.}\text{54003}÷\text{18}\text{.}\text{001}$

0.03

$\text{32,051}\text{.}\text{3585}÷\text{23},\text{006}\text{.}\text{9999}$

$\text{100}\cdot 1,\text{816}\text{.}\text{001}$

181,600.1

$1,\text{000}\cdot 1,\text{816}\text{.}\text{001}$

$\text{10}\text{.}\text{000}\cdot 0\text{.}\text{14}$

1.4

$0\text{.}\text{135888}÷\text{16}\text{.}\text{986}$

$\text{150}\text{.}\text{79}÷\text{100}$

1.5079

$4\text{.}\text{119}÷\text{10},\text{000}$

$\text{42}\text{.}7÷\text{18}$

$2\text{.}\text{37}\overline{2}$

$6\text{.}9÷\text{12}$

$0\text{.}\text{014}÷\text{47}\text{.}6$ . Round to three decimal places.

0.000

$8\text{.}8÷\text{19}$ . Round to one decimal place.

$1\text{.}1÷9$

$0.1\overline{2}$

$1\text{.}1÷9\text{.}9$

$\text{30}÷\text{11}\text{.}1$

$2\text{.}\overline{\text{702}}$

## Converting a fraction to a decimal ( [link] )

For problems 46-55, convert each fraction to a decimal.

$\frac{3}{8}$

$\frac{\text{43}}{\text{100}}$

0.43

$\frac{\text{82}}{\text{1000}}$

$9\frac{4}{7}$

$9\text{.}\overline{\text{571428}}$

$8\frac{5}{\text{16}}$

$1\text{.}3\frac{1}{3}$

$1\text{.}\overline{3}$

$\text{25}\text{.}6\frac{2}{3}$

$\text{125}\text{.}\text{125}\frac{1}{8}$

125.125125 (not repeating)

$9\text{.}\text{11}\frac{1}{9}$

$0\text{.}0\frac{5}{6}$

$0\text{.}\text{08}\overline{3}$

## Combinations of operations with decimals and fractions ( [link] )

For problems 56-62, perform each operation.

$\frac{5}{8}\cdot 0\text{.}\text{25}$

$\frac{3}{\text{16}}\cdot 1\text{.}\text{36}$

0.255

$\frac{3}{5}\cdot \left(\frac{1}{2}+1\text{.}\text{75}\right)$

$\frac{7}{2}\cdot \left(\frac{5}{4}+0\text{.}\text{30}\right)$

5.425

$\text{19}\text{.}\text{375}÷\left(4\text{.}\text{375}-1\frac{1}{\text{16}}\right)$

$\frac{\text{15}}{\text{602}}\cdot \left(2\text{.}\overline{6}+3\frac{1}{4}\right)$

0.09343

$4\frac{\text{13}}{\text{18}}÷\left(5\frac{3}{\text{14}}+3\frac{5}{\text{21}}\right)$

#### Questions & Answers

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
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
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
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
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Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
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Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
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after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
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Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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