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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Explanation:

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Explanation:

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Answer:

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yes

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

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Answer:  

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Explanation  hope this helps:)

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Answer:

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Answer:

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Explanation:

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Answer:

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Answer:

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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:

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Explanation:

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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.

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Answer

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Answer:

c

Explanation:

Protecting individual liberties

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

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Answer:

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Explanation:

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2.
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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.

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Answer:

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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.

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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:

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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.
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Answer:

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

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sh

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Answer:

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Explanation:

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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:

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Answer:

whats the question? true or false?

Explanation:

I think you forgot to ask the question lol

a.
What made the people of Mexico declare Santa Anna the "Savior of the Country?"
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c. He joined the people to rise up against Iturbide's politics.
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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.

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Answer:

B.

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

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