The Language of Mathematics (4): The Real Number Set – Part 2
Table of contents listing all instructional math videos available from Chycho TV at www.chycho.com List of videos that are available for download at www.chycho.com INTRODUCTION: www.chycho.com During the last few years the education systems in Canada and the United States has been eroding. Students have been crammed into larger class sizes while the quality of teaching has deteriorated, in large part due to a lack of funding from local and federal governments. John Ralston Saul, one of Canada’s most celebrated authors and essayist, has warned us that “Canada’s democracy… is eroding with every dime deducted from education budgets.” I have stated previously that I believe “as a collective we must understand that democracy can only exist in a society with an educated populace, and the right for self-governance can only be obtained through knowledge.” I also believe that as long as the Internet remains Neutral, we, as a global community, can make a difference. We can fill the gap left behind by our governments and be proactive in educating our children Sharing our communal experiences and knowledge is the essence of the Internet and chycho.com is proud to be a part of this movement. The information contained and conveyed through this medium is what will shape our future, and this site was created to represent a unique personal perspective and to contribute in bringing about positive changes. As a result I have decide to produce instructional math videos to help those that …
Video Rating: 4 / 5
Comments: 25 Posted: September 19th, 2011 under Real listing
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Comment from
pinedavideos
Time
September 19, 2011 at
5:14 pm
I love your videos. I hope you become more popular. I’ll be watching many more and sharing with whoever is interested. Also, quick question, what is 2.22 repeating as a fraction? 2 + 22/100 doesnt seem right 
Comment from
KelferMookie
Time
September 19, 2011 at
5:40 pm
This guy is good…I am finally understanding this stuff, and actually think I may like it.
Comment from
chychochycho
Time
September 19, 2011 at
6:18 pm
Thanks, glad to be of service 
As for your recommendations, I’ll work on them
Comment from
eduardosayas
Time
September 19, 2011 at
6:30 pm
Your a genious you should have books,TVshows,vids,and maybe prob some private lessons to other kids. You Rock. Your strategy is like no other. : ) u help me man.
Comment from
dizzytrizzy07
Time
September 19, 2011 at
6:44 pm
2:20 – 2:45 : it’s just funny cuz he looks like “irritated” to the people who owe sheep x) heehee. again, good tutorial mr. ;D
Comment from
dizzytrizzy07
Time
September 19, 2011 at
7:16 pm
@babuy1995 hi babuy 
born in the ’95 ka no.. year of the pig.. kaya babuy 
hehe. Dizzy Trizzy here. my pinsan studies in ateneo de davao too ;3 kaso college na sia
Comment from
chychochycho
Time
September 19, 2011 at
7:57 pm
I don’t have any videos done on sets yet. I’m still a ways away from doing a series on this. I need to get a few more things covered before opening up this can of worms, and I hadn’t thought about doing a video on algebraic and transcendental numbers… great idea though. I’ll have to think about this quite a bit before tackling it, but for the record, I do find the challenge of creating videos on this tempting. Thanks for recommending it.
Comment from
0112471324
Time
September 19, 2011 at
8:17 pm
While the distinction between rational and irrational numbers if fascinating for historical reasons, I personally find the distinction between algebraic and non-algebraic numbers (transcendental numbers) to be even more interesting for theoretical purposes (especially in the area of uncountable sets). Do you talk about them in one of your videos? Anyhow, interesting video and a good introduction.
Comment from
MAJESTIcag7
Time
September 19, 2011 at
9:05 pm
@chychochycho Actually yeah it does…thanks!!!
Comment from
chychochycho
Time
September 19, 2011 at
9:16 pm
This should help. There are three types of numbers in the Real Number Set; terminating, ones that go one forever and repeat, and ones that go on for ever but never repeat. The first two are rational numbers (Q), and the third ones are called irrational numbers.
does that help?
Comment from
MAJESTIcag7
Time
September 19, 2011 at
9:54 pm
In regards to the Rational Numbers…..how can they be Repeating or Terminating when those two words have opposite meanings?
Please explain if possible….
I’m 39 and have never understood math but have decided to truly apply myself and gain understanding and am finding your vids very informative so far…just to let ya know.
MAJESTIC
Comment from
chychochycho
Time
September 19, 2011 at
10:17 pm
Thanks for pointing it out and you’re correct. I’ll be dealing with limits some time in the future, maybe even this year as a teaser. This video was just meant to be a quick intro to the Real Number Set without going into the specifics. As you know, zero and infinity are rather tricky to deal with
Comment from
Entertainmentwf
Time
September 19, 2011 at
10:53 pm
I like this video but I wanted to point out something. any integer divided by 0 is not defined. Division by definition is a divided by where b does not equal 0. It’s impossible by the axioms of divisibility to divide by 0. Modulo arithmetic is the handy tool which helps get around this. But, I think you possibly confused this with approaching a division by 0 which is infinity or negative infinity typically (of the form lim n-> 0 k/n = +/- infinity) where k is a real number.
Comment from
chychochycho
Time
September 19, 2011 at
11:05 pm
Comment from
robertlewisvazquez
Time
September 19, 2011 at
11:34 pm
One of the best math video’s I ever seen. Great job and thank you.
Comment from
chychochycho
Time
September 20, 2011 at
12:05 am
I like it
To simplify it though i would say, numerator is an integer and denominator a natural number. That way you don’t even have to worry about explaining the “negative” part.
That being said, we should keep in mind restrictions (denominator can’t = zero) when we start dealing with functions, since restrictions reveal a lot about the system we may be modeling.
Comment from
johnrobieagain
Time
September 20, 2011 at
1:05 am
Thank you for your series.
I may contribute one idea in terms of rational numbers as you stated, they are fractions of Integer numbers (denominator mustn’t equal 0).
Maybe it is better to define them as fractions with the numerator being a whole number and the denominator being a natural number.
Whenever “negative” occurs it can be attributed to the numerator.
Do you agree?
Thanks
Greetings from Germany
Comment from
leoanderson3
Time
September 20, 2011 at
1:44 am
titties are good
Comment from
chychochycho
Time
September 20, 2011 at
2:32 am
Nope, not the same wall. This is in Vancouver, however, i do hope to go to Cuba and do a series there in the future. I’ve been there a few times and absolutely love the architecture… there are some seriously beautiful walls there
Comment from
sydneyroxy
Time
September 20, 2011 at
2:46 am
Wow! this is crazy i have a picture of the wall behind you in my living room. Like that exact wall with the bench and everything my mom took the picture when she was in Cuba is it the same wall?
Comment from
chychochycho
Time
September 20, 2011 at
3:19 am
I think zero came from India. From wiki “The concept of zero as a number and not merely a symbol for separation is attributed to India” … would be nice to get a confirmation.
As for algebra, yap, looks like Babylon (Middle East/Arab).
Comment from
maxamed1985
Time
September 20, 2011 at
4:18 am
it was an arab guy who come up with zero and algebra was from arabia not iran,.
Comment from
chychochycho
Time
September 20, 2011 at
4:38 am
1/0 is undefined. I was using the word infinity loosely.
Comment from
imacheese1
Time
September 20, 2011 at
4:56 am
i thought 1/0 was undefined? not infinity.
Comment from chychochycho
Time September 19, 2011 at 4:42 pm
if you mean 2.22, then it equal 2 +22/100, but you have to reduce 22/100. So it’s actually 2+11/50
if you mean 2.2222222222…., then it’s 2+2/9