Hello, how are you?
There are amazing secrets or magic in mathematical numbers such as 1, 11, 111, …., 111111111, 8, and 9, etc. The following is one of those. Hope that math fans or those who are interested in math teaching and learning enjoy it.
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1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 987 65
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
——————————————————————————————–
0 x 9+1=1
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
——————————————————————————————–
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
———————————————————————————————
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
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If YOU have a moment, please answer this simple question:
Take a piece of paper from your computer printer, 8.5*11 in size, you agree that there are four (4) corners for the paper which is rectangle shape, now take a scissor and cut one (1) corner off the paper by straight line (only once for each result), how many corners left on the remain paper?
Very easy if you actually do it!
Only a tiny trick in it, Good Luck!
Happy Saturday Evening! 😉 🙂 😉
PS: You can also fold it for one time to get a result, there are two solutions,
If you divide the rectangle into exactly two equal pieces of triangular paper, then you get 4-1=3, 3 corners,
But if you cut out one corner and get two pieces of paper, with a small triangle removed, you get 4-2=5 corners,amazing math humor, isn’t it?
Good job, everyone, everyone got 5 corners, the other case is a trick, as I mentioned…;) 🙂 😉
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Math Posts in Blogs:
Childish Sweetheart:
http://kumikomae.blogspot.com/2010/01/math-equations-humanity.html
Richard Wiseman Blog:
http://richardwiseman.wordpress.com/2010/01/15/its-the-friday-puzzle-42/
Math teacher: http://manlovesmath.blogspot.com/
Bananaz: http://bananazpeople.blogspot.com/
Teach :<) Happy: http://techhappy.wordpress.com/2010/01/01/46-stellar-math-sites-for-kids-youd-be-obtuse-not-to-visit/
Math Baseball: http://www.funbrain.com/funbrain/math/
Math faculty in California: http://eaglebach.wordpress.com/
Problem of the Fortnight: http://eaglebach.wordpress.com/2009/10/26/problem-of-the-fortnight/
Coffee cup adventures: http://yanangski.wordpress.com/2010/01/17/doing-the-math/#respond
That little Notebook’s Weblog : http://thatlittlenotebook.wordpress.com/2010/01/16/my-brothers-wisdom/
Math humor:
Jingle Nozelar 
5 corners? No, that’s too obvious.
As to 11s, if I do happen to spy 11:11 on a digital clock I must lunge face down as quickly as possible upon the nearest bed, or trouble shall brew. Old family tradition. No problem unless the 11:11 is actually seen.
Hello, Jannie:
You are right, 4-3=5, that’s unbelievable,
I hope that you know the 2 final solutions I posted..
I applaud you for the effort, 😉
lol this is cool, 2 posts in the one day lol, now I did as you said, and I am going to say there are 5 corners left even after cutting, xx
I am glad that
you finally worked this out in your own way,
good try,
have FUN, 😉
Oh boy more Math. Maybe I will love it. Well I did not until I got to college. I was so happy when I finally got an A in math. Well a test. Thanks for all of your kind words..
Have a great night.
Hi, Amy:
I am glad that you start to like it,
It is not that hard if you stop, think, and make an effort to get it.
Enjoy A Graceful evening.
This makes my mathematical OCD very happy… I have a strange habit of adding up all the numbers I see that appear together… for example, if I see it’s 11:34 on a clock, that clearly equals 9. I do it with birthdays too. July(7) 30, 1979, equals 2. I’m a freak like that. So your post brings me endless joy. 🙂
Hi, Bryan:
I am glad that you have special talent in adding up numbers,
you are math talented, 😉
Thank you for sharing the time telling math experience with us..
wishing you a peachy evening. 😉
how cute! I tried doing the first few equations then decided I’d just enjoy seeing the list of math trivias you posted 😀
Thanks for linking up. I really appreciate it. And all your comments. glad you enjoyed how i pour my heart out.
-K-
-K-
You did an awesome job talking about college algebra experience,
glad to get linked to your blog…
hope that more people read your post and enjoy it,
😉
btw i added a new space on my sidebar, much like a blogroll. i placed you there. since well, as of now you’re the only person who commented on my new blogsite 😀
Hi,
I am sure more blogger will come to your place and comment for you, stay hooked with me, some of my followers may be interested in checking you out,
Have an Excellent Evening, 😉
Cool numbers! Not sure if you have tried this, use a calculator and punch in (1.11111111 x = ?).
If I read your instruction right answer is *5* corners, but then that’s too easy..:p Could not be right?
Hello, Bananaz:
Sorry for the late response,
As you read the solution I posted, it is NOT that easy,
little trick is in it… 🙂
hope that you have FUN knowing the final solution.
Cut of one corner that would leave three equal corners and the paper has 5 sides. I have posted the amazing maths numbers in my blog when I ‘centralized’ them it looked like a Xmas Tree. Thanks
Hello,
Thank you for sharing your thoughts on this easy but tricky math problem,
please read my solutions to get it,
let me know if you have further questions.
enjoyed your visit, 😉
I don’t believe in maths all that much but I do like bar tricks…. Kudos.
Hello, Kirk
Hope that you find something interesting in my bog,
I have poetry, Haiku, and other stuff for you take a look,
Best wishes, 😉
thank you for linking my blog. i’m not a math wiz but i’m starting to enjoy solving math problems. i really like your math posts, how i wish we have this when i was still in school. haha!
my answer: 5 corners? uhm…. o_o
Good morning, Yanangsi:
Awesome try, especially you are doing this the first time,
I am tickled when you say that you like my math posts…
Hope that you have fun discovering the 2 final solutions to this problem..
wishing you a pink and cute day, 😉
As a teacher (especially of special educaiton students) the Magical Math Humor post will be very useful. We are always looking for ways to intrigue our students with math/numbers. Special education students particulary have a difficult time understanding the abstract-ness of some math concepts. Thanks for such a great post!! RLB
Hello, R L Burns:
I am happy that you think my post is useful,
please feel free to explore math which is on top of the blog,
I have more than one dozen posts about math..
cheers, 😉
Hi
I saw you popped in on my blog. Of all the posts…. my outrageous snake post. There is just no telling what you may stumble onto over there. Do you write poetry? I have had a couple of things published at the college I am attending. I used to have a blog called, “The poets pen.” I deleted it last yr. I have entered into writers block.
🙂
Hi,
I have tons of poetry posted in this blog,
please click on About YOU on top of the screen to read my poems,
also click on poetry to view my Thursday Poets’ Rally week 1 and week 2 posts..
Thank you for the visit.
cheers, 😉
i had to grin when reading this because just yesterday my sons and i were having a great time with multiplication and subtraction. we sat in front of the computer and typed out equations to find the patterns in the answers, comparing “tricks” for solving simple equations. i love math but have only just these past few years come to realize that. (and thanks for stopping by my blog!)
Hello, Kelly:
i am excited that you and your son do math at home…
Math is everywhere in life, glad that you eventually realize your fondness in it, 😉
I appreciate your kind remarks.
Have A Beautiful Day.
Hello jingle! I feel terrible, as it turns out I entirely missed a comment from you on my blog. I reply to all people who comment, and I didn’t catch yours for quite a while. I apologize.
Of course I get here, and wince, because like many people, I feel the limits of my own mental dexterity when contemplating math. I am a Liberal Arts sort of person. All that said, I love that you are doing this. Math isn’t intimidating when you forget to be afraid of looking stupid (which I always look less than bright when attempting math).
It’s a universal language of sorts, for starters.
So with great trepidation I say: I did the experiment (please use a piece of paper that you’ve already printed upon, by the way…the planet will love you!). Now, I came out with five corners, but as you mention a trick, and I’ve no idea what it could be. I continue to think about it.
I notice that you said nothing about whether or not we were allowed to fold the paper at all, which would indicate that it is allowable? So the answer is dependent upon how many times you fold the paper, and therefore the answer should be: There are infinite possibilities, dependent upon how many times the paper is folded. There comes a point where you are no longer to physically fold the paper, but that does not mean the shape cannot continue to be folded, in theory.
So that’s the answer: there are infinite corners?
Did I just make myself look very stupid? Don’t fret, I’m used to that with math 🙂
Good morning, Land of Shimp:
Wow, what lovely and insightful thoughts you have shared with us, I am thrilled that you actually think of infinite times and sequences of solutions… 😉 🙂
Please make sure you know my solutions to this post,
5 corners,
3 corners,
with different ways of cutting the paper removing a corner..
Please enter your blog link so that I visit you back,
thank you and wishing you a beautiful day ahead.
Thank you for sharing an interesting way to look at numbers.
you are welcome, Mary, 😉
I was always fascinated by numbers.Interesting to studie it!
Take care! 🙂
Hi, @2a24:
Neat to see you happy face and have a say about my math post,
best wishes, 😉
TERIMAKASIH ATAS INFORMASI DAN TULISANNYA, CUKUP BERMANFAAT BUAT BACAAN/REFRENSI UNTUK REGENERASI. KUNJUNGI JUGA SEMUA TENTANG PAKPAK DAN UPDATE BERITA-BERITA DARI KABUPATEN PAKPAK BHARAT DI GETA_PAKPAK.COM http://boeangsaoet.wordpress.com
Without actually doing the paper corners trick (because I’m too lazy), I’m going to say you are left with five corners left if you cut off one corner diagonally.
Hello,
you are right about 5 corners, that is most people think, there is a special case, if you cut the paper into exactly half equal triangles, then you remove one corner, but only have 3 corners left..
let me know you have have doubts, 😉
you have good sense on math though,
Nice…quiet knowledgeable post. Thanks for sharing.
Hi, Collin:
Thank you for the sweet comments,
wishing you a productive week ahead.
I m sure that u have done specialization in Maths….Am i r8?
Good morning, Pamela:
Yes, I Have an advanced degree in pure math,
but my math post is quite elementary … 😉
Check this….for writing 9 table simply write 1 to 8 and vice-versa except 9×1= 9 & 9×10=90:
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90
Dear Sandra:
Wow, you get some math “virus” as well, 😉
I am excited to see you math comments,
thanks a million, 😉
Oh, Jingle, this is fun. And I am so not a math person. Much just beyond me. Thought I’d check out your math posts and try to improve myself. Jingle, I wonder if you have read “The Indian Clerk” by David Leavitt. In novel form, it is an accounting of a mathmatical collaboration between an “Indian clerk” (uneducated, but with a natural gift for mathematics – he is Srinivas Iyengar Ramanujan) and a group of Cambridge dons (especially G.H.Hardy). I’m only two chapters in and totally engaged with the story and the poetry of the writer, though I’ve had a lifelong resistance to math and struggle with some of the references.