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

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The use of concrete to use as building material.
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The creation of flying buttress to increase space and decrease building material.

Which geographic features gave rise to early civilization?

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Answer:

The first civilizations appeared in major river valleys, where floodplains contained rich soil and the rivers provided irrigation for crops and a means of transportation.

Hope this helps!

Who was a great Greek engineer that designed levers, war machines and catapults?

a
Aristotle
b
Plato
c
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d
Archimedes

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Answer:

D.Archimedes

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Why were the Intolerable Acts so important and why were they important to the Colonists?

Answers

Answer:  

The Intolerable Acts were punitive laws passed by the British Parliament in 1774 after the Boston Tea Party. The laws were meant to punish the Massachusetts colonists for their defiance in the Tea Party protest in reaction to changes in taxation by the British Government.

Explanation  hope this helps:)

How did Great Britain and France test American neutrality during the beginning years of the United States?

Answers

Answer:

The diplomatic neutrality of the United States was tested during the Napoleonic Wars (1803-1815). The warring nations of Britain and France both imposed trade restrictions in order to weaken each other's economies. These restrictions also disrupted American trade and threatened American neutrality.

Explanation:

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Answer:

The primary goal of a political machine is maintaining control, and abuses of power are In those conditions, political machines therefore such as Tammany Hall, run by boss  as tax or zoning concessions or the award of lucrative public-works contracts.  in attempts to solve the many problems that have arisen in connection

Did Christopher Columbus consider the natives to be equal to him?

Answers

Answer:

No.

Explanation:

He considered the natives brutish and fowl.

Answer: No

Explanation:

He wanted it to be his land so he made them slaves

Which of the following is an example of colonization?

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Answers

The answer is b, because they are trying to change them to how they seem fit
B.is the answer because they are forcing that and stealing recourses from the indigenous people

whats 1-1 guys im hacing trouble

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0 I’m pretty sure lol
One minus one equals zero :)

How to stop false information and how to stop it from spreading

Answers

Make sure whatever the person says is true opu have to do that ur self if it dose not sound right or it’s crazy don’t tell anyone else and forget about it.
It’s called not gossiping.....

Answer:

Correct the people. Tell them that this information is/isn't false (depending on what the topic is about).

Explanation:

If people don't believe what you are saying is correct, back yourself up with trustworthy articles, evidence, and unbiased information. Also, don't come off negative as people don't like it when other people are negative, and that will make them become even more negative.

What were the names of the two walls north of Britain that protected the southern half of the island from the fierce Caledonians?

Answers

Answer:

Explanation:

Hadrian's Wall is located near the border between modern-day Scotland and England.

2.
Why were the Crusades considered ultimately unsuccessful?
Later Crusades failed in their mission to regain and maintain control of Jerusalem.
Popes who led the Catholic Church after 1250 A.D. lost interest in Crusades.
Most Crusaders never actually made it to Jerusalem—they gave up and went home.
Large numbers of Crusaders converted to Islam after reaching the Middle East.

Answers

Answer:

Later Crusades failed in their mission to regain and maintain control of Jerusalem.

Explanation:

I took the test and was right, Enjoy.

(A) Later Crusades failed in their mission to regain and maintain control of Jerusalem.

Crusades:The Latin Church in the Middle Ages began, encouraged, and at times even led a series of religious conflicts known as the Crusades. The most well-known of these Crusades took place in the Holy Land between the years of 1095 and 1291 with the goal of freeing Jerusalem and the surrounding region from Islamic authority. Crusades are the collective name for concurrent military campaigns against the Moors in Iberia (the Reconquista) and the pagan West Slavic, Baltic, and Finnic peoples of northern Europe (the Northern Crusades). Other church-approved crusades were waged during the 15th century to oppose paganism and heresy as well as the Byzantine and Ottoman empires as well as for political objectives. Common citizens frequently participated in Popular Crusades, which were not authorized by the church.

Therefore, the correct answer is (A) later Crusades failed in their mission to regain and maintain control of Jerusalem.

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What is the role of the bourgeois/bourgeoisie in the French Revolution

Answers

Marx was one of many thinkers who treated the French Revolution as a revolution of the bourgeois. In Marxist theory, the bourgeoisie plays a heroic role by revolutionizing industry and modernizing society.

What actions did British government take in response to industrial revolution

Answers

Answer:

the government passed The Factory Act of 1833

Explanation:

because they did not agree with investigating factorys in labor

Shays’ Rebellion (1786) became a concern for many national leaders because it

Answers

(1) indicated there would be future conflicts over
the spread of slavery
(2) exposed fundamental weaknesses in government under the Articles of Confederation
(3) pointed to the need for federal government
regulation of interstate commerce
(4) showed that frontier settlements were
vulnerable to raids by Native American Indians

Answer: exposed fundamental weaknesses in government under the Articles of Confederation

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Answers

Answer:

universal, or shared by everyone.

Explanation:

that's the answer because i took the test and i got it right with that answer.

Answer:

universal, or shared by everyone.

Explanation:

What hindered Ashoka from going into Tibet?

Answers

Answer:

It has something to do with Muslims and Hindus. The short paragraph below is from a website. It is the online article you will find when you look this up.

Explanation:

Tibetan Buddhism has exerted a considerable influence in the Himalayan areas situated along Tibet’s southern border. In Nepal Buddhism interacted with both India and Tibet. Although there is evidence that suggests that the Buddha was born in the southern part of the area that is now Nepal—at Lumbini, about 15 miles (24 km) from Kapilavatthu (Kapilavastu)—Buddhism seems to have been actively propagated only later, probably under Ashoka. By the 8th century Nepal had fallen into the cultural orbit of Tibet. A few centuries later, as a result of the Muslim invasions of India, both Hindus (such as the Brahmanic Gurkha aristocracy) and Buddhists took refuge in the country. The Tibetan influence on the Himalayan tradition is indicated by the presence of Tibetan-style prayer wheels and flags. The Indian heritage is especially evident in the caste system that embraces Buddhists and non-Buddhists alike. In the late 20th century a significant Theravada reform movement took root among the Newari population. The adherents of this movement, who have important connections with Theravada practitioners in Myanmar and Sri Lanka, oppose the maintenance of traditional caste distinctions.

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Answer: Culture is greatly affected by environment. ... Climate is a huge factor in different cultures. If a group of people live in a cold place, they will most likely wear thicker clothes, opposed to the thin clothes worn by people in warmer places.

What was the impact of the boycotts created by the Stamp Act Congress? *

Answers

Answer:

The stamp act was repealed

Explanation:

Is the devinshire system slavery? Why or why not?

Answers

The Devshire system technically was slavery because Christian boys ages 8-20 would be forced into become soldiers for Ottomans army but there were some parents who would volunteer their sons for the service

What idea did George Washington introduce as president of the United States?

A. The US president's first two years should be the most productive.

B.US presidents should play an important role in maintaining world peace.

C. US presidents should not belong to any political party.
sh

D. US presidents should run for election for only two terms.

Answers

Answer:  B

Explanation:

The correct answer is D I believe

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Answer:

The Bill of Rights 1689, also known as the Bill of Rights 1688, is a landmark Act in the constitutional law of England that sets out certain basic civil rights and clarifies who would be next to inherit the Crown. ... It also includes no right of taxation without Parliament's agreement.

Langston Hughes grew up poor and black during the time of segregation. He and his friends and neighbors longed for material items and a better life like that of some white men they observed. Hughes drew upon his life experiences when he created his works. Do you think Hughes knew someone like Roger or Mrs. Jones? Could he, himself, have been Roger? Could Mrs. Jones have reminded Hughes of his own grandmother? Use specific examples from the story as you think, critically, to explain your answer.

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This question is about "Thank You, M'am"

Answer and Explanation:

1. It is likely that by living in a community that was experiencing financial difficulties and having many friends who could not get what they wanted, Hughes met someone like Roger, who had to steal if he wanted to achieve his desires. However, it is likely that he met kind and charitable people like Mrs. Jones, too.

2. It may be that Hughes was inspired by someone from his own family to create Mrs. Jones. His grandmother may have been that inspiration, since the author saw her as an admirable and very kind woman to those in need.

Answer:

It may be that Hughes was inspired by someone from his own family to create Mrs. Jones. His grandmother may have been that inspiration since the author saw her as an admirable and very kind woman to those in need.

Explanation:

How is democracy in ancient Athens different from the democracy in America today? *

1) Ancient Athens's democracy was a constitutional democracy
2)Ancient Athens's democracy was a religious democracy.
3) Ancient Athens's democracy was a direct democracy.

Answers

Answer:

3) Ancient Athens's democracy was a direct democracy.

Explanation:

Direct democracy or pure democracy is a form of democracy in which people decide on policy initiatives directly. This differs from the majority of currently established democracies, which are representative democracies.

Answer:

direct democracy

Explanation:

Are the bill of rights necessary

Answers

Answer:

Federalists argued that the Constitution did not need a bill of rights, because the people and the states kept any powers not given to the federal government. Anti-Federalists held that a bill of rights was necessary to safeguard individual liberty.

Answer:

yes

Explanation:

a.
What made the people of Mexico declare Santa Anna the "Savior of the Country?"
He declared himself a conservative.
b. He defeated Spain in its final attempt to regain control over Mexico.
c. He joined the people to rise up against Iturbide's politics.
d. He abolished the Constitution.
HELP PLEASEEEEE

Answers

Answer:

Correct answer is b. He defeated Spain in its final attempt to regain control over Mexico.

Explanation:

A is not correct as Santa Anna wasn't conservative and also this didn't affect the attitude towards him.

B is correct answer as he defeated Spain in 1829, when they tried to reconquer Spain. He defeated them and was proclaimed "Savior of the country."

C is not correct as although he participated in the rebellion against Iturbide, he wasn't the one to overthrow him.

D is not correct as the repeal of the Constitution led to Texas revolution.

Answer:

B.

Explanation:

i won't be able to top the person above me.-

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Answers

Answer:

D

Explanation:

The correct answer is option D) At the time, the United States supplied the world with food, goods, and money, giving it tremendous influence over other nations.

What was the impact of the united states in World War 2?

America's response to World War II was the most extraordinary mobilization of an idle economy in the history of the world. During the war 17 million new civilian jobs were created, industrial productivity increased by 96 percent, and corporate profits after taxes doubled.

What happened to the economy after World war 2?

The private economy boomed as the government sector stopped buying munitions and hiring soldiers. Factories that had once made bombs now made toasters, and toaster sales were rising. On paper, measured GDP did drop after the war: It was 13 percent lower in 1947 than in 1944.

Learn more about World war 2 here: brainly.com/question/651584

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5 points
by not allowing British ships into colonial ports
by advertising the boycotts in the local paper
through persuasion and intimidation
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Answer:

The answer would be C: through persuasion and intimidation

Explanation:

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Answer

its C because Yes

Answer:

c

Explanation:

Protecting individual liberties

in the mid 1700s, how many Africans a year were being taken from Africa to the Americans​

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Answer:

whats the question? true or false?

Explanation:

I think you forgot to ask the question lol

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