Some rational number, such as 1/2, 3/8, and 2/5 have a finite decimal (terminating decimal); while others, such as 1/3, have infinite decimal representation (repeating decimal). For which positive whole numbers, n, is the decimal representation of 1/n finite? For which is it infinite? Describe the pattern, if there is one.

Answers

Answer 1

Answer:

Explanation:

Some rational number, such as 1/2, 3/8, and 2/5 are known to have a finite decimal (terminating decimal) as shown

1/2 =  0.5

3/8 = 0.375

2/5 = 0.4

We can see that the values after the decimal points are countable and finite. They are not repeated compare to some fractions like:

1/3 = 0.333333333333333333333333... (The values after the decimal here are infinite i.e they have no end). From the question, we are to look for other values of the denominator n that will make 1/n finite ans infinite.

The value of n that will make 1/n finite is when n = 4, 8, 16... (most of this numbers are even numbers while some are odd e.g 5)

1/4 = 0.25

1/8 = 0.125

1/16 = 0.0625

For infinite, the value of n that will make 1/n infinite are mostly prime numbers e.g 7, 11, 13, 17...

1/7 = 0.142857142857142... (the values 142857 keeps repeating itself)

1/11 = 0.0909090909090909090...(the value 0909 keeps repeating itself)

1/13 = 0.076923076923076923... (the value 076923 keeps repeating itself)

1/17 = 0.0588235294117647... (the value 0588235294117647 will keep repeating itself)


Related Questions

Why don't judges have to worry about being fired for an unpopular but fair decision?

Answers

because they are fabulous
Because they solved the case fair and nice unlike rude and incorrect

14. How many Americans lived west of the Appalachians by 1803?

Answers

Answer:

More then I million settlers

Explanation:

Answer:

More than One Million Settlers

Explanation:

hope this helps you!

You guy's I'm going through a real tough time. Please give me motivation to keep going

Answers

Answer:

Here you go:

Explanation:

, . ' , , . ' ' , . , : , . . ' . , . ' , ' , ' . . ' , , , , . ' ' , . ? . ? ' , ' . ' , -, , ' !


Who made laws in ancient Greece? *
1) the wealthy nobles
2) the king
3) the people

Answers

Answer:

1. The wealthy nobles

Explanation:

The traditions of Athens and Sparta say that the laws were given to them by Solon and Lycurgus, legendary figures who served as leaders of their city-states long ago. The two traditions agree that the laws are made by the Assembly and approved by the Senate.

Answer: 1) the wealthy nobles

Explanation: it's the wealthy nobles because in ancient Greece if you were wealthy that was all that mattered.

For people who needs to know about Phillips wheatly the first part is stolen

Answers

Answer:

What is this about?

Explanation:

Evaluate the expression.
3
4
÷
4
5

1
2

Answers

 answer

0.4375

this is it                                        

Why did Nikitin feel more comfortable around the Muslims that he encountered than the Hindus

Answers

Answer:

practice of numerous rituals in the hindu society like dietary restrictions,nakedness, funeral rites etc. made him very uncomfortable.

Proofread this excerpt from a review of the film The Great Gatsby. Which sentence contains spelling errors?
There was a lot of anticipation surrounding the recent film adaptation of the American classic novel The Great Gatsby. The director did a Wonderful job of portraying the decadince and luxury of the Jazz Age. However, the background score was jarring and over the top. Plus, the acting performances were subpar. The leading pair of Gatsby and Daisy lacked chemistry, and the actors were grossly miscast. Their dialogue delivery too was clunky and overdramatic at times. The film would have benefited from a tighter and more focused script.

Answers

Answer:

"The director did a Wonderful job of portraying the decadince (decadence) and luxury of the Jazz Age."

Explanation:

To proofread is to read and go through a given text and make sure that there are no mistakes. It also involves the improvement and correction of any mistakes, be it punctuation or spelling.

In the given passage about a review of the film "The Great Gatsby". And in reading through the passage, the sentence that contains the spelling mistake is "The director did a wonderful job of portraying the decadince and luxury of the Jazz Age." Here, the mistake is in the spelling "decadince", which should be "decadence".


How did religion promote literacy?

Answers

Answer:A religiously literate person is described as possessing: 'a basic understanding of the history, central texts (where applicable), beliefs, practices and contemporary manifestations of several of the world's religious traditions as they arose out of and continue to be shaped by particular social, historical and .

Explanation:

ased on the golden ratio and the ratio of lengths of body parts to each other, which governed the depictions of male and female figures.

Answers

Answer:

70465

Explanation:

70465

Using the map above, what number is on the state with the capital city of Cheyenne?

Answers

Answer: 44 Wyoming

Explanation:

Answer:

44

Explanation:

it is wyoming

fill in the blanks with the words in parenthesis.
(Most, All) _________________citizens have the opportunity to participate in their government on a first-hand basis in a direct democracy.

Answers

Answer: all

Explanation:

Because everyone has the rights to do so.

Answer:

Most

Explanation:

The answer is most because although almost all citizens can participate in their government, people who are underaged, criminals, and more are types of citizens who cannot participate in their government

please help and no stp shi
Part One:
Respond to each question below in your own words and in complete sentences.

Why did slavery start in the colonies?

How were slaves brought to the colonies?

What types of jobs did slaves do in each colonial region: New England, Middle and the South?

Why were the jobs in each region different?

Answers

Answer:

Slavery started in the colonies because as more and more people came from overseas they bought lots of land for farming. There weren't enough people to work on the land and the owners didn't like that they had to pay people to farm and harvest their crops.

Slaves were brought to colonies by boats.

In New, England slaves would work in their owner's home as house slaves cleaning the house cooking dinner, and sometimes taking care of the children. In the middle and southern colonies, slaves would work on the plantations and also in the home.

The jobs were different in each region because there were different settings. The middle and south colonies had more land and nicer weather for farming. But New, England did a lot of trade and fishing because the weather wasn't as nice.

what trade routes did the roman republic use and who did they trade with?

Answers

Answer:

The main trading partners were in Spain, France, the Middle East and North Africa. Britain exported lead, woolen products and tin. In return, it imported from Rome wine, olive oil, pottery and papyrus.

Explanation:

In Egypt was power based on election or were people born into power?

Answers

Born into power just like in England I soppose

Which civil rights leader received support from men such as Theodore Roosevelt, Andrew Carnegie, and John Rockefeller?
a. W.E.B. DuBois
b. Ida B. Wells
c. George Washington Carver
d. Booker T. Washington

Answers

Answer:

D.)

Explanation:

Good ole Booker T. Washington

Cornelius Vanderbilt, also known informally as "Commodore Vanderbilt", was an American business magnate and philanthropist who built his wealth in railroads and shipping. So c

PART A: Which statement identifies the central idea of the text?

A)If it weren’t for Francis Pizarro’s, the Inca Empire would have continued to expand and prosper.

B)Despite the riches they possessed, the Incas lived simple lives.

C)The Incas were a highly advanced civilization that were able to expand their net of influence far and wide.

D)Warfare was the most common and successful way in which the Incas were able to expand their empire.


PART B: Which detail from the text best supports the answer to Part A?

A)"The Inca controlled perhaps 10 million people, speaking a hundred different tongues. It was the largest empire on earth at the time."

B)"Members of a community supported one another. The Inca tailored this practice of reciprocity — give-and-take — to their own needs."

C)"All were required to pay taxes as tribute. The Mit’a was a labor tax, which required the head of every household to work for the state

Answers

Answer:

A) If it weren’t for Francis Pizarro’s, the Inca Empire would have continued to expand and prosper.

Explanation:

We can make this conclusion because throughout the text mention was made about Francis Pizarro's role in the Inca Empire.

For example, after stating the might and glory of the Inca empire had, the author stated, "Once Pizarro had executed the last emperor, the empire rapidly collapsed." In other words, If it weren’t for Francis Pizarro’s, the Inca Empire would have continued to expand and prosper.

Explain the main points of Buddhism. How does it differ from Hinduism?

Answers

Answer: One of the most fundamental differences between Buddhism and Hinduism is their view on the existence of god. Hindus recognize that there is an individual soul inside each person, called an Atman. Some Hindus believe that the Atman and Brahman are ultimately the same, an idea that resonates with pantheism.

(hope this helps ^^)

Answer:

Hinduism: Hindus recognize that there is an individual soul inside each person

Buddhism: Buddhists believe that nothing is fixed or permanent and that change is always possible.

Explanation:

I don't really know, but hope that helps.

The Monroe Doctrine of 1823 established which idea?

Answers

Answer:  President James Monroe's 1823  message to Congress contained the Monroe Doctrine, which warned European powers not to interfere in the affairs of the Western Hemisphere. Understandably, the United States has always taken a particular interest in its closest neighbors – the nations of the Western Hemisphere.

why did the founders create three branches of government?

Answers

Answer:

They wanted to form a government that did not allow one person to have too much control.

Explanation:

“The Founding Fathers, the framers of the U.S. Constitution, wanted to form a government that did not allow one person to have too much control. With this in mind, they wrote the Constitution to provide for a separation of powers, or three separate branches of government. ... This is done through checks and balances” -hope this helped

what effect of the Columbian Exchange is its image illustrate ​

Answers

Answer:

As there is no image to explain from I will briefly describe various effects of Colombian Exchange:

The Exchange was of species and crops between New World and Old World. This had many effects some positive and some negative on both Worlds.

A positive effect was that new crops and species were introduced to both while there were some diseases brought to Native Americans which they had no immunity against resulting in fatalities. Another negative effect was the removal of Native Americans for the economic needs of Europeans leading to the death of many.

Answer:

the conversion of the physical environment from grasslands to pasture

Explanation:

if its the picture with a lot of cows

Which phrase describes how Jupiter and Saturn are similar?

visible storms
slow rotations
many moons
fast revolutions

Answers

Answer:

slow rotations and visible stroms

Answer:

Many moons

Explanation:

Just took the test

In which country did John Calvin start promoting Reformation ideas?

Answers

Answer:

Calvinism spread into England, Scotland, France, the Netherlands, the English-speaking colonies of North America, and parts of Germany and central Europe. This expansion began during Calvin’s lifetime and was encouraged by him.

why are people against the idea of child labor

Answers

Answer:

the people are against of child labor because all child should learn they can atleast join a government school because in this education reading is important.

asking questions is super in this education life

People are against child labor because work is not for children to handle, it’s for the adults. Children have the responsibility to grow, study and learn, not work but yet many people use kids to work. I believe that child labor is ridiculous and no kid should be used for labor, they deserve to grow a happy life and study so THEN they could start working on their own account not for other people.

Which of the following words best describes President Jackson’s feelings toward American Indians? A. materialistic B. sympathetic C. paternalistic D. apathetic Please select the best answer from the choices provided A B C D

Answers

Answer:

I think it might be c

Explanation:  

Answer:

I Know Its C Bc I Just Did It

Explanation:

Tell Me If You Want Proof

Why is "who can participate" the most important classification?

Answers

Answer:

What does this mean?

explain how the eastern woodlands and the great plains were the same

Answers

Answer: The people who lived their both hunted for food and lived in shelter made from wood. The comparison between the two biomes is that they both have trees and water but more so than the other.

Study the photo of this collection of hunter-gatherer tools. What do they suggest about the society that created them? Choose three answers. They needed pointed tools for cutting. They used many materials to create tools. They used rocks without altering the rocks' shape. They used one material and shape for tools. They shaped tools for different purposes.

Answers

Answer:

A,B,E

Explanation:

Answer:

A,B,E

Explanation:

yes

How did the Hundred Years' War affect the king of England? The king removed Parliament. O The king lost power to Parliament. O The king answered to the Great Council. The king no longer ruled Over the nation.​

Answers

Answer:

The king lost power to the parliament I took the test  and It was in my notes to

Explanation:

trust

Answer:

B

Explanation:

What impact did the French and Indian War have on the British and their American colonies?

Answers

Answer:

The French and Indian War began in 1754 and ended with the Treaty of Paris in 1763. The war provided Great Britain enormous territorial gains in North America, but disputes over subsequent frontier policy and paying the war's expenses led to colonial discontent, and ultimately to the American Revolution.

Explanation:

Other Questions
5-10 facts about Amelia Earhart. PLEASE ANSWER QUICKLY! THIS IS A HARRISON BERGERON QUESTION. Who makes the decisions about whiHow is satire used in top of the food chainch news items will be covered What is the following an example of? Susie yelled at her mother, then she tried to punch her brother before running up to her room and slamming the door. *glittering generalitiesprotagonistdirect characterizationindirect characterization Paraphrase this line Four score and seven years ago our fathers brought forth upon this continent a new nation, conceived in Liberty, and dedicated to the proposition that all men are created equal. 4h + 3f + 3c + f + 2c + h + 2c pls help BEST ANSWER GETS BRAINLIEST FOLLOW FIVESTAR AND THANK YOUWhich sentence correctly explains the process and conditions needed for sleet to form? (15 pointsss :)Group of answer choices:A. During thunderstorms and extremely cold temperatures, water droplets freeze in layers and form balls or chunks of ice.B. Both the temperature of the cloud and the temperature of the air must be below freezing in order for the flakes to fall from the sky.C. A liquid form of precipitation that is formed in above freezing temperatures becomes heavier as it falls the ground in the form of raindrops.D. Ice crystals melt as they fall through a warm layer of air and then refreeze into small ice pellets as they pass through a colder layer of air. Use the information about Billy's Burgers to answer the following question(s):Billy's Burgers Figures in $ millions Income Statement 2010 Balance Sheet 2010 Net Sales 246.0 Assets Costs exc. Dep. 187.0 Cash 8.0 EBITDA 59.0 Accts. Rec. 21.0 Depreciation 17.2 Inventories 23.0 EBIT 41.8 Total Current Assets 52.0Interest 12.0 Net PP&E 145.0 Pretax Income 29.8 Total Assets 197.0 Taxes 10.4 Net Income 19.4 Liabilities and Equity Accts. Payable 18.0 LongTerm Debt 82.0 Total Liabilities 100.0 Total Stockholders' Equity 97.0 Total Liabilities and Equity 197.0Required:Using the percent of sales method, and assuming 20% growth in sales, estimate Billy's Burgers' Accounts Receivable for 2011.a. $21.0 millionb. $18.0 millionc. $25.2 milliond. $21.6 million why ice melt into water Richard was hired by a hospital that uses electronic health records. Which of the following would most likely be included in his EHR training?A. Patient care, patient cost, and billing accuracyB. Communication skills, patient billing, trauma counselingC. Navigating home screens, accessing patient records, and patient schedulingD. Active listening skills, patient care, and administrative supervising OnOffWhich statements about immigrants in the late 1800s are true?Choose all answers that are correct.Most immigrants were middle class and were looking for business opportunities in the New World.Many immigrants had skills that allowed them to demand higher wages than American workers.Most immigrants traveled to America as steerage passengers on steamships.Many immigrants lacked English and job skills, forcing them to take low-paying jobs. everyone should love themselves for who they are. Who composed motets? brainliest if right!!!! Please help me with the question! Please!! The following events pertain to James Cleaning Company: 1. Acquired $15,000 cash from the issue of common stock.2. Provided services for $6,000 cash.3. Provided $18,000 of services on account.4. Collected $11,000 cash from the account receivable created in Event 3.5. Paid $1,400 cash to purchase supplies.6. Had $100 of supplies on hand at the end of the accounting period.7. Received $3,600 cash in advance for services to be performed in the future.8. Performed one-half of the services agreed to in Event 7.9. Paid $6,500 for salaries expense.10. Incurred $2,800 of other operating expenses on account.11. Paid $2,100 cash on the account payable created in Event 10.12. Paid a $1,000 cash dividend to the stockholders.Required:Show the effects of the events on the financial statements using a horizontal statements model like the following one. In the Cash Flows column, use the letters OA to designate operating activity, IA for investing activity, FA for financing activity, NC for net change in cash and NA to indicate accounts not affected by the event. The first event is recorded as an example. (Enter any decreases to account balances and cash outflows with a minus sign The temperature at 4:00 p.m. was 2.5'F. Itdropped 0.75F each hour for the next 4 hours.What was the temperature at 8:00 p.m.? What processes are related to metamorphism Describe the levels of protein folding- primary, secondary, tertiary & quaternary structure of proteins.simplified pls Match each titration term with its definition. Process of slowly adding a solution to react with another solution and determine the Choose... concentration of one of the solutions tased on the reaction between them Solution of an unknown concentration that has another solution slowly added to it Choose... When the required amount of one solution has been added to the second solution to Choose... complete the reaction Solution of known concentration that is slowly added to a solution of unknown Choose... concentration Glassware that allows a solution to be precisely and slowly added to another solution Choose... A reagent added to the analyte solution that changes color when the reaction is Choose... complete