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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

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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