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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 preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue.. sometimes due to these physical problems..the diagnosis may be misdiagnosed. treatment for autism. well it depends on the severity. since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision. play therapy. speech therapy. Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game. string and beads game. the more you interact with the child the more effective
Jharna
results you'll get.. please consult a therapist to know what suits best on your child. and last as a parent. I know sometimes it's overwhelming to guide a special kid. but trust the process and be strong and patient as a parent.
Jharna
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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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