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
similar? Find the result of this calculation.
3
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?
1 divided by 3 and 1 over 3 are similar because 1 over 3 is the same thing as 1 divided by 3 just only in a fraction form. In addition if you were to do division on both situations both numbers would still equal the same quotation.
ReplyDeleteI agree with you Aliana because anything that is divided by 1 will equal the number that is being divided.
DeleteExactly
Deletei agree
DeleteI agree with you but do you think you could elaborate more on how you if you were to do division in both situations it will still equal the same quotation.
DeleteI'm the best
DeleteI agree with Aliana. I would like to add that fractions are basically division so 1 divided 3 is the same as 1/3. If you were to divide 1 and 3 it will equal .3 repeating, and 1/3 simplify would equals .3 repeating
ReplyDeleteBased on my knowledge 1 divided by 3 is similar to 1/3 because they are both dividing 3 by 1. Also both of them are going to have 3 as an answer because anything that is being divided by 1 will equal any number that is being divided.
ReplyDeleteFor Example:
3 divided by 1=3
OR
100,000,000 divided by 1=100,000,000
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DeleteI agree with you Rodolfo because 1/3 is the same thing as 1 divided by 3 just only in fraction form
Deletei want to add on that anything you divided by 1 is going to equal the same thing the same rule for multiplying
DeleteAndrew did you just copy off of my answer?
DeleteDo not use any slang words!!!
I agree with of you young minds.
Delete3 divided by 1=3
OR
100,000,000 divided by 1=100,000,000. This is a very good example. Good job guys!
That was me not them!
Delete(-_-)
DeleteI agree with you Rodolfo, but I think you should add something from the text to make your answer even stronger.
DeleteI agree with Mia because 1/3 and 1 divided by 3 is the same because when it is in fraction form that means you divide both of them you get the same answer.
ReplyDeleteYou have to do your own problem. Do not copy off my work.......please
Deletei agree
Deletei want to add on that anything you divided by 1 is going to equal the same thing the same rule for multiplying
ReplyDeleteCan you specify what you mean and add an example?
Delete9/1=1
Delete1 divided by 3 is the same as 1/3 because you are still dividing them 3 by 1.They are also similar because they have the same answer.Like Roldofo example
ReplyDeleteI agree because the fraction line means divide so they will be similar
Deletefor example 3 divide by 4 is the same as 3/4
1 divided by 3 is the same as 1 over 3 since fractions can represent division
ReplyDeleteI agree with jose because anything divided by 1 will always be that number.
Delete1 divided by 3 and 1 over 3 are similar because 1 over 3 is the same thing as 1 divided by 3 just only in a fraction form. In addition if you were to do division on both situations both numbers would still equal the same quotation.I think the number devil means that fractions cannot be turned into another fraction if not similar.
ReplyDeleteI agree and want to add on that if you divide 3 by 1 it gives you 33.33 which is 1/3 which is equivalent to 1/3
ReplyDeleteThis comment has been removed by the author.
ReplyDelete7. Identify the mathematical term for taking the rutabaga of a number. What type of number is the rutabaga of two?
ReplyDeleteThe mathematical term for taking the rutabaga of a number is square root. In the book it says " Fine. But now hold on to your hat and try the rutabaga of two. Again Robert did as he was told, and got the following 1,414213562373095048801688724" The rutabaga of two is an unreasonable number.
i agree with vianny i would like to add on that is is a unreasonable number.
DeleteI agree with you and I like the way you answered both questions and used Rafit with cited evidence from the text.
DeleteI also agree with you Vianny because I searched up rutabaga on google and it said, " A round yellow fleshed root". The term root must have been the inspiration for rutabaga in the math world.
DeleteOr you could say instead of unreasonable number, a non-terminating number.
Deletei would also like to add that 1 divided by three is the same as 1/3 so it is the same so i agree with Dylan and adriel
ReplyDeleteI chose to answer question 4.The chain of nines behind zero would equal one.This is because it would look like 0.99999999999999999999999 or repeating and if you round that it equals to 1.This is if you follow the rule 0,1,2,3,4 round down and 5,6,7,8,9 you round up.
ReplyDeleteI agree with Jordan. This is because he explains how the chains would get to 1 but also says that they would keep going if you did not round.
DeleteI agree with you but I think that you should add a quote from the text to make your answer even stronger.
DeleteI disagree and agree at the same time.I agree since when you round 0.9 repeating it would equal one but you 0.9 repeating does not equal one and never will because it the number devil 0.999 is nearly one,but quite doesn't get there.
DeleteI also like to agree with Ibrahim because it really depends on what you are doing with the repeating 9's. Like if you were to let the nines continue they would never reach one. If you were to round it it would be one. So it really depends on which situation you're in. You should try to remember that not everything the Number Devil say is true. Try challenging uo to the book.
DeleteThe numbers that were in the box were special. This is because if you counted the sides of the box then you could find the numbers that hop. It states in the number devil " Right. You see how it works, don't you? Count the number of boxes on the side of each square and you've got the numbers to hop with. And vice versa." So this explains why the numbers in the box were special and what they did.
ReplyDeleteI liked how you added a quote from the text to support your response.
DeleteI will acknowledge the way you explained your answer and used details from the novel and used Rafit at the same time.
DeleteThe way you constructed your response really shows how you understand the question. Great job!
Delete1 divided by 3 and 1 over 3 is the same thing. I say this because when you solve the equation you get the same number, no matter what form its in.
ReplyDeleteI agree with you Tamia, but I think you should add something from the text to support your response.
DeleteI would like to add on that that 1 over 3 is a fraction, 1/3. And the bar separating 1 and 3 means multiplication. Which is why in both cases they simplify down to 1 divided by 3, and you get the answer of 0.333333333333 repeating for infinity.
Deleteany number divided by 1 will be the same. Example: 27 divided by 1 equal 27
ReplyDeleteI am confused to what problem you are answering. You should elaborate and restate the question. But I do like how you added an example.
DeleteI agree with Vianny. I am confused with what problem your answering. Overall, great example Lydell!
DeleteUnreasonable numbers are unreasonable because they refuse to play by the rules and go off the deep after the zero.According to the novel for instance, the rutabaga or square root of two which is 1.414213562373095048801688724 and so on.The mathematical term is called a non-terminating decimal which goes on forever.
ReplyDeleteI liked how you added a quote from the text. Your answer was very specific and clear.
DeleteI agree with you and I like how you added a quote.
DeleteI agree .
DeleteI agree also
DeleteI agree with what you say for unreasonable numbers. And, I would like to add on that there are recurring decimals and non-terminating decimals. Recurring decimals are ones like 0.666666 repeating. And non-terminating decimals are ones like the square root of 2. So, there is a difference between the 2 though they are similar since they both go on forever.
DeleteI would also like to add on that a non terminating but not repeating number is not a rational number because they are unreasonable. Like the example you gave, 1.414213.... , so that's another term unreasonable numbers go under.
DeleteUnreasonable numbers are referred as unreasonable because they really wont listen to reason. They would do there own things and not follow the rules. Its basically a number who doesn't want to go to the next number. These numbers go nonstop and they never want to end. According to the number devil, square root of two which is 1.414213562373095048801688724 . These numbers are called non terminating decimals. This means that they wot stop.
ReplyDelete1 divided by 3 and 1 over 3 are similar because the fraction the line separating the numbers means division, for example 3/9 is equal to 9 divided by 3 witch equals 2
ReplyDelete~Unreasonable numbers are referred to be unreasonable because they have no reason or they are just not reasonable because they have no reasons that prove or support them to be what they are
ReplyDeleteI do not really understand your answer, Aminata. Could you please be more specific and clarify your answer?
DeleteYou can go from hopping to the rutabaga of square medels because hopping numbers is like 3 to the 2 power and if draw a square with a area of 9 the rutabaga of 9 is 3 and if you count how manynsq7uares in each side you will see that each side has 3 squares. In the book page 80 it said, " Count the number of boxes on the side of each square and youve got the number to hop with. And vice versa. If you know how many boxes the square has - thirty - six say - and take the number's rutabaga, you get the number of boxes along the side of the square.
ReplyDeleteUnreasonable means when you can't find out how many numbers there are. For example 1.5 is rational, because it can be written as the ratio 3/2. Also it means when a number goes on forever like when you divide 100 divided by 100 equals 11.1111111 it goes on. Lastly a unreasonable number means that you can't write it as a fraction or ratio
ReplyDeleteI agree with your first example Julio. I also like how you gave an example of a reasonable number, then an example of an unreasonable number. But, you made a mistake. 100 divided by 100 is 1. Any number divided by itself is one. An accurate example you could have used was: 1 divided by 9 which equals 0.111111111111111111 and the 1 repeats for infinity
DeleteHopping numbers and taking the rutabaga of a number are related. This is because the 2 concepts are opposites. Lets take a number like 16. Doing 2 hops of 16, or 16 to the 2nd power, is 256. Just like what the number devil says, taking the rutabaga of a number is going backwards 1 hop. Going backwards one hop of 16 is 4. This is why the rutabaga of 36 is 6. To find the rutabaga of a number, you have to think to yourself, " Which number times itself equals the number I have?" Taking the rutabaga of a number is the same as finding the square root of a number. The square root of 36 is 6, just like the rutababga of 36. So, I know they are the same. Therefore, this is how hopping numbers and taking the rutabaga of a number are related.
ReplyDeleteAlso, when I searched the definition of rutabaga, it was a root vegetable. So, this can be how rutabaga relates to square roots. They both give you the same answer,but rutabagas are fictional, and made up in the book, and square roots are the mathematical term that is used. This is why the word rutabaga is used in substitute of square root.
DeleteThats a really nice constructed response Ndeye and I'd like to say that the rutabaga won't always be a whole number. For example, stated in the novel, "The rutabaga of 2 is 1.4142135623730....". This shows that the rutabaga won't always become a whole number and you should be more aware of that.
Delete1 dividec by 3 qnd 1/3 is the same because 1divided by 3 is 0.3333333333 repeated and 1/3 simplifies into a decimal is 0.3333333333333
ReplyDeleteBut how are they similar? Why are they similar? You should be more attentive to these questions and fully answer them.
DeleteThe mathematical term for taking the rutabaga of a number is called square root. This term was inspired by th term rutabaga which is defined as a yellow fleshed root. The root must have been pulled out and squared giving us square root. When Robert found the square root of 2 he got 1.4142113562..... This kind of number is an unreasonable number because it does not abide by the rules. This is not a rational number because rational numbers have repeating and terminating numbers. This is not repeating but is going on forever. This is an unreasonable number.
ReplyDeleteI completely agree with your answer, Maimouna. I also like how you included rational numbers in your explanation. Also, I think you could have left out the part about the numbers not listening to the rules becuase many people already said that.
DeleteOkay thanks for the advice.
DeleteI want to answer a question no one has answered yet. There is a discrepancy with the problem, "If ⅓ of 33 bakers can make 89 pretzels in 2½ hours, then how many pretzels can 5¾ bakers make in 1½ hours?" This is because how can there be 5 3/4 bakers? This is why sometimes fractions cannot work in real life. You cannot have 3/4 of a person, unless that person is dead. And if they were dead, they would not be able to bake! So, this is why this math problem doesn't work out.
ReplyDeleteI agree with you Ndeye. I also like to comment on how you answered a problem no one answered before. You are a very determined person.
Delete1 and 3 are similar because there are bot integers on the number line and also they can both be divided into each other.
ReplyDeleteI agree with you muhamadou, Next time you should expand your thinking and explain a bit more but besides that great job!!
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Delete" 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." This question is a discrepancy because you can not have 5 3/4 of a person.Well it is possible but you need their body to be working like if they had their whole body together, unless if they were dead and their body won't be working at that time if they are dead.
ReplyDeleteIf 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.
ReplyDeleteI say that you cant do this problem because you would basically be dividing the bakers which isn't possible unless the person was dead and you split up their body into pieces. This is why you cannot do this problem.