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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.

Exercise supplement

Reading and writing decimals ( [link] )

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

hundredths

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

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

7.2

seven and two tenths

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16.52

sixteen and fifty-two hundredths

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

Nine and twelve-hundredths.

9.12

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Two and one hundred seventy-seven thousandths.

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Fifty-six and thirty-five ten-thousandths.

56.0035

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Four thousand eighty-one millionths.

0.004081

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Converting a decimal to a fraction ( [link] )

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

58.63

85 63 100 size 12{"85" { {"63"} over {"100"} } } {}

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0 . 14 2 3 size 12{0 "." "14" { {2} over {3} } } {}

11 75 size 12{ { {"11"} over {"75"} } } {}

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1 . 09 1 8 size 12{1 "." "09" { {1} over {8} } } {}

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4 . 01 1 27 size 12{4 "." "01" { {1} over {"27"} } } {}

4 7 675 size 12{4 { {7} over {"675"} } } {}

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9 . 11 1 9 size 12{9 "." "11" { {1} over {9} } } {}

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Rounding decimals ( [link] )

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

4.087 to the nearest hundredth.

4.09

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4.087 to the nearest tenth.

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16.5218 to the nearest one.

17

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817.42 to the nearest ten.

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0.9811602 to the nearest one.

1

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

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

7 . 10 + 2 . 98 size 12{7 "." "10"+2 "." "98"} {}

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14 . 007 5 . 061 size 12{"14" "." "007" - 5 "." "061"} {}

8.946

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1 . 2 8 . 6 size 12{1 "." 2 cdot 8 "." 6} {}

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41 . 8 0 . 19 size 12{"41" "." 8 cdot 0 "." "19"} {}

7.942

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57 . 51 ÷ 2 . 7 size 12{"57" "." "51" div 2 "." 7} {}

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0 . 54003 ÷ 18 . 001 size 12{0 "." "54003" div "18" "." "001"} {}

0.03

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32,051 . 3585 ÷ 23 , 006 . 9999 size 12{"32,051" "." "3585" div "23","006" "." "9999"} {}

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100 1, 816 . 001 size 12{"100" cdot 1,"816" "." "001"} {}

181,600.1

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1, 000 1, 816 . 001 size 12{1,"000" cdot 1,"816" "." "001"} {}

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10 . 000 0 . 14 size 12{"10" "." "000" cdot 0 "." "14"} {}

1.4

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0 . 135888 ÷ 16 . 986 size 12{0 "." "135888" div "16" "." "986"} {}

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150 . 79 ÷ 100 size 12{"150" "." "79" div "100"} {}

1.5079

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4 . 119 ÷ 10 , 000 size 12{4 "." "119" div "10","000"} {}

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42 . 7 ÷ 18 size 12{"42" "." 7 div "18"} {}

2 . 37 2 ¯ size 12{2 "." "37" {overline {2}} } {}

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6 . 9 ÷ 12 size 12{6 "." 9 div "12"} {}

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0 . 014 ÷ 47 . 6 size 12{0 "." "014" div "47" "." 6} {} . Round to three decimal places.

0.000

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8 . 8 ÷ 19 size 12{8 "." 8 div "19"} {} . Round to one decimal place.

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1 . 1 ÷ 9 size 12{1 "." 1 div 9} {}

0.1 2 ¯ size 12{0 "." {overline {"12"}} } {}

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1 . 1 ÷ 9 . 9 size 12{1 "." 1 div 9 "." 9} {}

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30 ÷ 11 . 1 size 12{"30" div "11" "." 1} {}

2 . 702 ¯ size 12{2 "." {overline {"702"}} } {}

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Converting a fraction to a decimal ( [link] )

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

3 8 size 12{ { {3} over {8} } } {}

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43 100 size 12{ { {"43"} over {"100"} } } {}

0.43

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82 1000 size 12{ { {"82"} over {"1000"} } } {}

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9 4 7 size 12{9 { {4} over {7} } } {}

9 . 571428 ¯ size 12{9 "." {overline {"571428"}} } {}

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8 5 16 size 12{8 { {5} over {"16"} } } {}

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1 . 3 1 3 size 12{1 "." 3 { {1} over {3} } } {}

1 . 3 ¯ size 12{1 "." {overline {3}} } {}

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25 . 6 2 3 size 12{"25" "." 6 { {2} over {3} } } {}

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125 . 125 1 8 size 12{"125" "." "125" { {1} over {8} } } {}

125.125125 (not repeating)

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9 . 11 1 9 size 12{9 "." "11" { {1} over {9} } } {}

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0 . 0 5 6 size 12{0 "." 0 { {5} over {6} } } {}

0 . 08 3 ¯ size 12{0 "." "08" {overline {3}} } {}

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

For problems 56-62, perform each operation.

5 8 0 . 25 size 12{ { {5} over {8} } cdot 0 "." "25"} {}

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3 16 1 . 36 size 12{ { {3} over {"16"} } cdot 1 "." "36"} {}

0.255

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3 5 1 2 + 1 . 75 size 12{ { {3} over {5} } cdot left ( { {1} over {2} } +1 "." "75" right )} {}

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7 2 5 4 + 0 . 30 size 12{ { {7} over {2} } cdot left ( { {5} over {4} } +0 "." "30" right )} {}

5.425

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19 . 375 ÷ 4 . 375 1 1 16 size 12{"19" "." "375" div left (4 "." "375" - 1 { {1} over {"16"} } right )} {}

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15 602 2 . 6 ¯ + 3 1 4 size 12{ { {"15"} over {"602"} } cdot left (2 "." {overline {6}} +3 { {1} over {4} } right )} {}

0.09343

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4 13 18 ÷ 5 3 14 + 3 5 21 size 12{4 { {"13"} over {"18"} } div left (5 { {3} over {"14"} } +3 { {5} over {"21"} } right )} {}

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Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
From 1973 to 1979, in the United States, there was an increase of 166.6% of Ph.D. social scien­tists to 52,000. How many were there in 1973?
Khizar Reply
7hours 36 min - 4hours 50 min
Tanis 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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