# 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

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, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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