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Sample set d

Use a calculator to perform each division.

328 ÷ 8 size 12{"328" div 8} {}

Type 328
Press ÷
Type 8
Press =

The display now reads 41.

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53 , 136 ÷ 82 size 12{"53","136" div "82"} {}

Type 53136
Press ÷
Type 82
Press =

The display now reads 648.

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730 , 019 , 001 ÷ 326 size 12{"730","019","001" div "326"} {}

We first try to enter 730,019,001 but find that we can only enter 73001900. If our calculator has only an eight-digit display (as most nonscientific calculators do), we will be unable to use the calculator to perform this division.

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3727 ÷ 49 size 12{"3727" div "49"} {}

Type 3727
Press ÷
Type 49
Press =

The display now reads 76.061224.

This number is an example of a decimal number (see [link] ). When a decimal number results in a calculator division, we can conclude that the division produces a remainder.

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Practice set d

Use a calculator to perform each division.

3, 330 ÷ 74 size 12{3,"330" div "74"} {}

45

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63 , 365 ÷ 115 size 12{"63","365" div "115"} {}

551

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21 , 996 , 385 , 287 ÷ 53 size 12{"21","996","385","287" div "53"} {}

Since the dividend has more than eight digits, this division cannot be performed on most nonscientific calculators. On others, the answer is 415,026,137.4

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4, 558 ÷ 67 size 12{4,"558" div "57"} {}

This division results in 68.02985075, a decimal number, and therefore, we cannot, at this time, find the value of the remainder. Later, we will discuss decimal numbers.

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Exercises

For the following problems, perform the divisions.

The first 38 problems can be checked with a calculator by multiplying the divisor and quotient then adding the remainder.

52 ÷ 4 size 12{"52" div 4} {}

13

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776 ÷ 8 size 12{"776" div 8} {}

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603 ÷ 9 size 12{"603" div 9} {}

67

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240 ÷ 8 size 12{"240" div 8} {}

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208 ÷ 4 size 12{"208" div 4} {}

52

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576 ÷ 6 size 12{"576" div 6} {}

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21 ÷ 7 size 12{"21" div 7} {}

3

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0 ÷ 0 size 12{0 div 0} {}

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140 ÷ 2 size 12{"140" div 2} {}

70

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528 ÷ 8 size 12{"528" div 8} {}

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244 ÷ 4 size 12{"244" div 4} {}

61

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0 ÷ 7 size 12{0 div 7} {}

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177 ÷ 3 size 12{"177" div 3} {}

59

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96 ÷ 8 size 12{"96" div 8} {}

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67 ÷ 1 size 12{"67" div 1} {}

67

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896 ÷ 56 size 12{"896" div "56"} {}

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1, 044 ÷ 12 size 12{1,"044" div "12"} {}

87

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988 ÷ 19 size 12{"988" div "19"} {}

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5, 238 ÷ 97 size 12{5,"238" div "97"} {}

54

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2, 530 ÷ 55 size 12{2,"530" div "55"} {}

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4, 264 ÷ 82 size 12{4,"264" div "82"} {}

52

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637 ÷ 13 size 12{"637" div "13"} {}

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3, 420 ÷ 90 size 12{3,"420" div "90"} {}

38

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5, 655 ÷ 87 size 12{5,"655" div "87"} {}

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2, 115 ÷ 47 size 12{2,"115" div "47"} {}

45

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9, 328 ÷ 22 size 12{9,"328" div "22"} {}

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55 , 167 ÷ 71 size 12{"55","167" div "71"} {}

777

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68 , 356 ÷ 92 size 12{"68","356" div "92"} {}

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27 , 702 ÷ 81 size 12{"27","702" div "81"} {}

342

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6, 510 ÷ 31 size 12{6,"510" div "31"} {}

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60 , 536 ÷ 94 size 12{"60","536" div "94"} {}

644

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31 , 844 ÷ 38 size 12{"31","844" div "38"} {}

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23 , 985 ÷ 45 size 12{"23","985" div "45"} {}

533

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60 , 606 ÷ 74 size 12{"60","606" div "74"} {}

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2, 975 , 400 ÷ 285 size 12{2,"975","400" div "285"} {}

10,440

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1, 389 , 660 ÷ 795 size 12{1,"389","660" div "795"} {}

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7, 162 , 060 ÷ 879 size 12{7,"162","060" div "879"} {}

8,147 remainder 847

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7, 561 , 060 ÷ 909 size 12{7,"561","060" div "909"} {}

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38 ÷ 9 size 12{"38" div 9} {}

4 remainder 2

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97 ÷ 4 size 12{"97" div 4} {}

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199 ÷ 3 size 12{"199" div 3} {}

66 remainder 1

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573 ÷ 6 size 12{"573" div 6} {}

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10 , 701 ÷ 13 size 12{"10","701" div "13"} {}

823 remainder 2

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13 , 521 ÷ 53 size 12{"13","521" div "53"} {}

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3, 628 ÷ 90 size 12{3,"628" div "90"} {}

40 remainder 28

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10 , 592 ÷ 43 size 12{"10","592" div "43"} {}

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19 , 965 ÷ 30 size 12{"19","965" div "30"} {}

665 remainder 15

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8, 320 ÷ 21 size 12{8,"320" div "21"} {}

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61 , 282 ÷ 64 size 12{"61","282" div "64"} {}

957 remainder 34

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1, 030 ÷ 28 size 12{1,"030" div "28"} {}

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7, 319 ÷ 11 size 12{7,"319" div "11"} {}

665 remainder 4

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3, 628 ÷ 90 size 12{3,"628" div "90"} {}

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35 , 279 ÷ 77 size 12{"35","279" div "77"} {}

458 remainder 13

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52 , 196 ÷ 55 size 12{"52","196" div "55"} {}

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67 , 751 ÷ 68 size 12{"67","751" div "68"} {}

996 remainder 23

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For the following 5 problems, use a calculator to find the quo­tients.

4, 346 ÷ 53 size 12{4,"346" div "53"} {}

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3, 234 ÷ 77 size 12{3,"234" div "77"} {}

42

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6, 771 ÷ 37 size 12{6,"771" div "37"} {}

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4, 272 , 320 ÷ 520 size 12{4,"272","320" div "520"} {}

8,216

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7, 558 , 110 ÷ 651 size 12{7,"558","110" div "651"} {}

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A mathematics instructor at a high school is paid $17,775 for 9 months. How much money does this instructor make each month?

$1,975 per month

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A couple pays $4,380 a year for a one-bedroom apartment. How much does this couple pay each month for this apartment?

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Thirty-six people invest a total of $17,460 in a particular stock. If they each invested the same amount, how much did each person invest?

$485 each person invested

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Each of the 28 students in a mathematics class buys a textbook. If the bookstore sells $644 worth of books, what is the price of each book?

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A certain brand of refrigerator has an automatic ice cube maker that makes 336 ice cubes in one day. If the ice machine makes ice cubes at a constant rate, how many ice cubes does it make each hour?

14 cubes per hour

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A beer manufacturer bottles 52,380 ounces of beer each hour. If each bottle contains the same number of ounces of beer, and the manufacturer fills 4,365 bottles per hour, how many ounces of beer does each bottle contain?

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A computer program consists of 68,112 bits. 68,112 bits equals 8,514 bytes. How many bits in one byte?

8 bits in each byte

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A 26-story building in San Francisco has a total of 416 offices. If each floor has the same number of offices, how many floors does this building have?

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A college has 67 classrooms and a total of 2,546 desks. How many desks are in each classroom if each classroom has the same number of desks?

38

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Exercises for review

( [link] ) What is the value of 4 in the number 124,621?

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( [link] ) Round 604,092 to the nearest hundred thousand.

600,000

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( [link] ) What whole number is the additive identity?

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( [link] ) Find the product. 6, 256 × 100 size 12{6,"256" times "100"} {} .

625,600

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( [link] ) Find the quotient. 0 ÷ 11 size 12{0 div "11"} {} .

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Questions & Answers

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
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
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
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
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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