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11-02-05 12:59 PM
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Acmlm's Board - I2 Archive - Brain Teasers - Useless Trivia about Math Game | |
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neotransotaku

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Posted on 06-23-04 08:46 AM Link | Quote
Okay, this game is going against your normal math trivia games where you are given numbers and asked to obtain a numerical result. Instead, I'm going to pose questions about math and see how much obscure knowledge of math you know or some facts that may or may not be interesting to you.

Anyways, if you understand that last paragraph, good for you because I sure didn't.

The format will be I pose a question and you answer that question. If you get it right, you get 1 point. If i feel that the question was ridiculously hard, I'll give you bonus points at my discretion. Wakarimashita?

Okay, here are the questions:

1) We all learned to multiply by hand in elementary school and there were steps to multiply numbers more than 1 digit. For example, to multiply 11 x 12, we would write down something that will look like this in the end.

 11
x12
---
22
11
---
132
Therefore, the question is this: What is the name of this method? (5 points)



6) Give a strong reason why 1 can't be a prime number. (2 points)

7) What is special about this prime number: (101951) x (101975 + 1991991991991991991991991) + 1



10) What is special about this: 1 + (1 / (5 + (1/2)))




(edited by neotransotaku on 08-09-04 03:31 AM)
Heian-794

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Posted on 06-23-04 09:27 AM Link | Quote
1. It has a name? ;

2. The fundamental theorem of arithmetic states that any integer has only one prime factorization (combination of prime factors).

3. I remember Peano for his fractal "curve", which fills space yet has no actual area, IIRC. But I'm sure he did a lot of other nifty things which would make better answers to your question.
neotransotaku

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Posted on 06-23-04 09:37 AM Link | Quote
1) Yes it has a name

2) correct--The fundamental theorm of arithmetic states every whole number greater than 1 can be expressed as a product of prime numbers in one and only one way.

Who would have thunk that such basic math has a theorem

3) I reprased the question so try again

---

Current point totals:

Heian-794 - 1 point


(edited by neotransotaku on 06-23-04 12:41 AM)
Ed

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Posted on 06-23-04 11:20 PM Link | Quote
1. We just called it long mutlipication

2. Bah, I knew this one, but I'm too late.

3. Dunno
Heian-794

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Posted on 06-24-04 12:04 AM Link | Quote
3. Actually I remember learning this. Peano defined zero, and then each succeeding number as being the number that comes after the previous one, and then said that if you can prove things about the previous numbers, by induction you can prove it for the number you're looking at now.

That's not exact but it's basically what he's doing.

Mind if other people pose questions?
neotransotaku

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Posted on 06-24-04 12:27 AM Link | Quote
3 is close enough so i'll give you the point.
As for posting questions...let me work myself into a rut first...

---

Current Point Totals:

Heian-794 - 2 points

---

Questions

1) We all learned to multiply by hand in elementary school and there were steps to multiply numbers more than 1 digit. For example, to multiply 11 x 12, we would write down something that will look like this in the end.

 11
x12
---
22
11
---
132
Therefore, the question is this: What is the name of this method?

4) Give an example of a trancendental number.

5) Which civilization was the first documented civilization to use negative numbers?


(edited by neotransotaku on 06-23-04 03:27 PM)
(edited by neotransotaku on 06-24-04 02:27 PM)
Heian-794

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Posted on 06-24-04 12:38 PM Link | Quote
4. e (2.718281828459045...) is transcendental.

5. Since around AD 1000 or earlier, the Chinese would indicate negative numbers by using black sticks on their counting boards instead of the usual red. When writing on paper, they'd put a diagonal slash through the last digit. You can see some examples in Georges Ifrah's "From One To Zero" and Karl Menninger's "Number Words and Number Symbols". I love these two books.

But someone may have been earlier. I'll rack my brain before Googling it. ;
neotransotaku

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Posted on 06-24-04 11:28 PM Link | Quote
#4) yup...e is a transcental number...

#5) nope...it weren't the chinese

---

Current Point Totals:

Heian-794 - 3 points
Heian-794

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Posted on 06-25-04 12:33 AM Link | Quote
Well, the Chinese seem to have gotten the idea from the Indians, though the Indians didn't have the good notation that the Chinese did.

Does this question have a definite answer, or is one culture just sort of assumed to be first?
Slash Dafter

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Posted on 06-28-04 01:23 AM Link | Quote
5. Sumerians?
KATW

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Posted on 06-30-04 05:08 AM Link | Quote
Im thinking 5 is... the japanese(because they do everything for some reason)
Heian-794

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Posted on 06-30-04 03:58 PM Link | Quote
It's not the Japanese. They have however gotten really good at using negative numbers in recent years, what with them popping up on investment return-relsted charts all the time!

I'll say the Indians were the first to do mathematics with negative numbers. IIRC, they used colors for different variables rather than the letters that we use.
Apocalypse

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Posted on 07-03-04 10:21 AM Link | Quote
Is Question 5 the egyptians?
kornfan
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Posted on 07-11-04 02:36 AM Link | Quote
I'm going to guess that 5 is either greece, or phoenecia.
Heian-794

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Posted on 07-11-04 07:55 PM Link | Quote
Are we going to get an answer to this one, Neo, or what?
kornfan
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Posted on 07-12-04 03:24 AM Link | Quote
Perhaps we should guess continuously until we get it right. Sparta. I'm out of ancient civilations. Oh yeah. maya inca aztec
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Posted on 07-12-04 06:13 AM Link | Quote
Originally posted by neotransotaku
1) We all learned to multiply by hand in elementary school and there were steps to multiply numbers more than 1 digit. For example, to multiply 11 x 12, we would write down something that will look like this in the end.

 11
x12
---
22
11
---
132
Therefore, the question is this: What is the name of this method?


Cross multiplication.



5) Which civilization was the first documented civilization to use negative numbers?


If my history class was right, China.
neotransotaku

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Posted on 07-12-04 07:58 AM Link | Quote
okay...my bad...real life got into my way

---

anyways...

Heian will get #5 since the chinese were the first to use it. I had the people from India in mind but they were the first to allow negative numbers in their mathematic system. Basically, my question was worded incorrectly XD

Cross multiplication answer for #1 is incorrect. that is not the "official" name of the method.

---

Point totals

Heian-794 - 4 points

---

Questions:

1) We all learned to multiply by hand in elementary school and there were steps to multiply numbers more than 1 digit. For example, to multiply 11 x 12, we would write down something that will look like this in the end.

 11
x12
---
22
11
---
132
Therefore, the question is this: What is the name of this method?

6) Why can't 1 be a prime number?

7) What is special about this prime number: (101951) x (101975 + 1991991991991991991991991) + 1

8) What is the largest number that is considered useful in mathematics?

9) What does N represent in N + 1 = N? (Hint: it deals with sets)

10) What is special about this: 1 + (1 / (5 + (1/2)))

11) How many digits are the largest known twin primes?

12) What's a repunit?

13) What woman has a type of number named after her?
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Posted on 07-12-04 08:41 AM Link | Quote
6) I believe the definition of prime numbers is that they have exactly two factors. 1 only has one factor- itself.

9) The null set?

Heian-794

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Posted on 07-12-04 01:39 PM Link | Quote
7. It has almost four thousand consecutive zeroes in it!

8. The Skewes number, useful in Ramsey theory, is ludicrously huge and needs special "arrow notation" to be expressed. (Arrow notation: I'll write an A since western encoding doesn't contain an arrow. In short, 3 A 3 means 3 ^ 3 ^ 3, or a tower of successively exponentiating threes. Imagine what 99999 A 99999 would look like.)

10. This equals 1 + (1 + 2/11), which is... uhh... almost exactly 0.7 less than e?

12. A repunit is a number like 111, 11111111, etc. Many of these have interesting properties which I can't be faffed to look up right now. ;

13. Does this have anything to do with Catalan numbers by any chance?

No time to research anything today; this stuff is by the seat of my pants!
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