Monday, November 9, 2015

Fourth Night (Upenn/Bard)

On the fourth night, the Number Devil takes Robert to the beach, in the dream. The Number Devil introduces unreasonable numbers and numbers that are called rutabagas. Huh!!! He describes numbers that are continuous. He also draws a square and tells that if each side equals to one, the diagonal line from one edge to the other will equal another continuing number.



When answering questions in a post, be sure to answer them in complete sentences. Avoid echoing someone else's comment. Utilize more of the questions. This means find a question that no one has answered, or answer a same question from another point of view. Remember to expand your thinking and think of mathematical examples that will make your response richer. Please respect the blog. Do not treat this blog like a social media site.

Your task this week is to choose one of the following questions and post an intelligent response. Use the bookmark to help guide your comments. Then continue reading through Chapter 5.


1.       How are 1÷3 and 1/3 similar? Find the result of this calculation.
         
2.     The number devil states, “Fractions are something you can’t abide.” What does he mean?

3.      If ⅓ of 33 bakers can make 89 pretzels in 2½ hours, then how many pretzels can 5¾ bakers make    in 1½ hours? Find the discrepancy in this problem.

4.      The number devil says, “The chain of nines behind the zero, if it goes on forever, will turn out to be equal to one.” What does he mean? Is this possible? If so, when? If not, why?

5.       Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term for the unreasonable numbers.

6.       How are hopping numbers and taking the rutabaga of numbers related? Find the rutabaga of 36.

7.       Identify the mathematical term for taking the rutabaga of a number. What type of number is the rutabaga of two?

8.       What is special about the number of small boxes within the squares drawn by the number devil?

9.       How can you go from hopping numbers to taking the rutabaga of numbers using square models? 

10.    What is the relationship between the diagonal of a square and the sides of that square?

74 comments:

  1. Q: The number devil says, “The chain of nines behind the zero, if it goes on forever, will turn out to be equal to one.” What does he mean? Is this possible? If so, when? If not, why?
    A: if you add one to nine you would get 10 so you keep carrying ones until 0.9 become 1

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    1. Jamal, I disagree with you and I believe that no matter how many 9's you add, you will not end up with 1, you will come very, very, close but you will never reach one because it is a consistent pattern of 9's. However, if the pattern of 9's were not consistent ( EX. 27413598...), then there is no telling whether or not you will reach one whole.

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  2. Question # 1: 1/3 is the same as 1 divided by 3 because a fraction line can also mean the same thing as the division sine not only meaning the same thing as "out of". The answer to this calculation is 0.3 repeating.

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    1. I agree with you Leah and also its sign* :)

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    2. I agree with you because the faction sine might mean division and so that would make 1 divide by 3 the same and also you are right beause 1 divide by 3 =0.3

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  3. 1 divide by 3 and 1/3 is similar because in 1/3 you divide them both and 1 divide by 3 is you just divide by 3

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  5. One divided three is the same as 1/3 because when there's a dash between two numbers that means division.

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    2. i disagree because what you said is subtraction,. :-(

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  6. 1 divided by 3 and 1/3 is similar because, one you get the same answer and also 1/3 is an easier way to write 1 divided by 3. For example, on pg. 69, it states, "Right. 'And dumb to! It's much easier to write one third.'" This shows that 1 divided by 3 is similar to 1/3.

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    1. this is not a thorough explanation. :-(

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    2. I agree with Zeid, and I would like to add on that the sentence you stated was not grammatically correct,nor answered the question in any sort of matter.

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    3. zeid i don,t understand what your trying to say

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  8. 3 divided by 1 is the same as 1/3 because for example if you divide a three piece cheese cake with three people, they all get 1/3. :-)

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  9. (1) How are 1÷3 and 1/3 similar? Find the result of this calculation) 1÷3 is similar to 1/3 because 1÷3 is basically telling you to divide 1 into 3 equal groups, just like 1/3. And the answer is 0.33 repeated 0.33 repeated is one-third of one.

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  11. 1 divided by three is the same thing as 1/3 since 1/3 means 1 of 3. The same thing relates to 1 divided by 3.

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  12. 1 divided by three is the same thing as 1/3 since 1/3 means 1 of 3. The same thing relates to 1 divided by 3.

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  13. i agree with you because in my calculation i got the same answer

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  15. Q:1) 1 divided by 3 and 1 over 3 are similar the reason is 1 over 3 is the same thing as 1 divided by 3.

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  16. whats so special about the small boxes within the squares is that they have have no differences.

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  17. Q:1 One divided by Three is the same as 1/3 because the dash basically means division for example you could do 1/2 which would equal 0.5 because you are dividing 1 by 2

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  18. 1. How are 1÷3 and 1/3 similar? Find the result of this calculation.

    1/3 and 1÷3 are similar because the slash (/) and the division sign (÷) are the same symbol. For example 8/4 is the same thing written out as 8÷4, having the quotient be 2. The answer to 1/3 is 0.33 (repeating or 0.34 rounded).

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  19. The term for finding the rutabaga is square roots for example to find the rutabaga of 2 you would have to see what numbers that can be multiplied by itself equals 2 1 and 1 is a simple number

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  20. 1.How are 1÷3 and 1/3 similar ? Find the result of this calculation.

    1÷3 and 1/3 are similar because both of their operations is division. Yes you might think that 1/3 is a fraction however, division can be written in many ways. They are also similar because when you divide the number 1 by 3, you get the same answer which is 0.33333....

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  21. I almost agree, but not entry. This is because 3÷1 does not equal 1/3. Just keep that in mind next time you give an example.

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  22. 3 is the same as 3/1 because if you divide 3 and1 it will give 1

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    1. I disagree with Alannis and i like to say 3/1 does not equal to 1 it equals to 3

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  23. Question: Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term for the unreasonable numbers.

    Answer. Unreasonable numbers are referred to as unreasonable numbers because they do not have a square root. For example nothing can multiply it's self to get two. The mathematical term for unreasonable numbers is irrational numbers

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    2. Mariam a short way to say 0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is by putting a repetend bar

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  24. I agree with you however back to what javier said, 3÷1 does not equal 1/3

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  25. Question 1) 1 Divided by 3 can be written as 1/3 because the symbol and the verb can be interchangeable.

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  26. Task question: How are 1÷3 and 1/3 similar? Find the result of this calculation.

    Their both equal 0.33.

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  27. 1 divided by 3 and 1/3 are simillar because the dash stands for division

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  28. 1 divided by 3 and 1/3 are simillar because the dash stands for division

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  29. The mathematical term for taking the rutabaga of a number is the square root. The rutabaga of two is a decimal.

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  30. 1÷3 is similar to 1/3 because 1÷3 is basically telling you to divide 1 into 3 equal groups, just like 1/3. The answer is 0.33 repeated 0.33 repeated is one-third of one.

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  31. 1 divided by 3 is similar to 1/3 because when you divide both the result will be the same: zero point three repeating (0.33333333333333333333333333333333333)

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    1. I don't understand what you are trying to say Mariame ?

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  32. The reason why Robert does not like division is because in the book he directly states,"When you add or subtract or even multiply, things come out even. What bugs me about division is that you get this remainder," this illustrates what Robert is trying to say is When dividing by a certain number it gets you a remainder, but what Robert did not know is that he could just put a decimal until you cant divide no more

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  34. Q:Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term for the unreasonable numbers.
    A:Unreasonable numbers are numbers with no square root. For instance no number multiplied by itself gives you two (2).

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  35. 5. Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term for the unreasonable numbers.

    Unreasonable are referred as unreasonable because unreasonable numbers do not have a square root.One example is no number can multiply it's self to be able to get 2 to get two.This shows that 2 is an Unreasonable number .The mathematical term for unreasonable numbers is irrational numbers.

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  37. Question 7

    The mathematical term for rutabaga is square route. The rutabaga of 2 is a crazy number. You get a unreasonable number.

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  38. The discrepancy behind the problem if 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 make in 1 1/2 hours is that there is a lot of different fractions and mixed numbers in the problem. There is also a lot of units.

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  39. 1. How are 1÷3 and 1/3 similar? Find the result of this calculation.

    both 1 divided by 3 and 1/3 are similar because / also means divide.
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    answer: 03

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  40. Unreasonable numbers are numbers with no square root.For instance no number multiplied by itself gives you two.The term for unreasonable numbers is irrational numbers.This numbers don't follow the rule.

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  41. QUESTION #1: Hopping numbers and taking the rutabaga out of a number are related because with hopping numbers, you are jumping by that same number and with rutabaga's, you are jumping back with the same number. For example, 4 to the 2nd power, which is a hopping number, is 16, and the rutabaga of 16 is 4. Hopping numbers can be known as exponents and rutabaga's are also known as finding the square root of a number. Exponents and square roots are opposites. The rutabaga of 36 is 6. I found that out because to find 36 using hopping numbers, you have to 6*6 or 6 to the 2nd power. Since rutabaga's and hopping numbers are opposites, I know that the rutabaga of 36 must be 6.

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