To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
Well this was an unexpected change of pace. I'm watching your "math videos" playlist IN ORDER and I find myself learning how to divide by a fraction after learning about the Lagrangian
In case, you have not already seen them, I also uploaded several other videos recently. As always, for each video that you like, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.
Eugene Khutoryansky Thank you so much for your videos Eugene. You do not receive the viewership that you truly deserve. Hopefully the word will get out and eventually you will be the "Khan Academy" of Math & Physics. PS: Can you do a video on Spinors? I'd LOVE to see a video by YOU on this topic. Spinors are my current obsession and it is a difficult topic. The Wiki entry is good, but you do EVERYTHING so much better ;-)
I’m a big fan of your style of teaching! would you happen to know where I can find a visual in your visual style to demonstrate what s^2 is from 9.8m/s^2?
@@EugeneKhutoryansky Happy New Years! Your videos are brilliant! How much would it cost to pay you for a visualization of this type to visually intuitively demonstrate an understanding of seconds square from acceleration? I’m seeking an exact visual breakdown exactly like this to understand what seconds square looks like visually
I am not sure if there is an intuitive way to describe it, other than the fact that acceleration is the rate of change in velocity, and velocity is the rate of change in position. I show how to visualize rates of change in my video on Calculus at ruclips.net/video/rjLJIVoQxz4/видео.html
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?ref=share&v=3D-f_nAYqHQ You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
While this shows the trick of multiplying the integer by the fraction's denominator, the illustration doesn't explain what the basic idea is. When you divide by any number, you ask how many of that number add up to the first number. I.e. How many 3s add up to 6? Two 3s add up to 6. How many 1/2s add up to 6? Well 2 halves add up to 1, and six 1s add up to 6, so 2 halves times 6 equal 12 halves. 12 halves add up to 6.
I like the way you make me think differently especially in physics :) Thanks if there were such people like you our education system would progress more :) Everyone should watch your animations :)
I had trouble explaining this to my brother, I think I have a good explanation now, gonna show this to him later. Keep up the good work and thanks a lot!
Great! I find the biggest problem with mathematics education is that kids are moved to the abstract before they grasp the concrete meaning of numbers, and are therefore get lost early on and never recover. Computer visualization is an amazing tool!
I really apreceiait what you're providing here in this chanell , you are really doing a hard work , now i understad alot of things more easy and clear . Thank you so much :)
Thanks for these great videos. By the way to visualize the dividing process, it may be better to distribute the balls one by one to the boxes . My boy understands better in that way. Great work please keep them going.
Clever, but I'm afraid too clever by 1/2. :) Much simpler is to look at multiplication and its inverse, division, as iterative addition and substraction. So, when asked 6/(1/2) you say "How many times can I subtract 1/2 from 6?' With the intuitve answer of 12.
I'm so terrible at understanding this that I had to look up a visualisation. I still don't get it. The problem says one set of 6, and one half. So where do 12 balls and 2 halves come from?
Division using the ball and box example here roughly means like "If in n boxes there are m balls in total, how many balls there would be if there was only one?" With the equation being m divided by n (m/n) and assuming each box has the same amount of boxes In the 6 divided by 1/2 example, it basically translates to "if in half a box there are 6 balls, how many balls we would have if we had a box instead?"
+Oliver Baker that's putting 10 balls into 2/3 of a box. You still count how many balls are inside of a single box but that won't be a whole number of balls because 3 doesn't go into 10 evenly (i.e. its not an integer number).
If we follow the logic presented in the video than we can think of 2/3 fraction this way - the numerator (2) tells us among what number of boxes our dividable (10) should be spread, so 10 objects should be equally spread among 2 places: 10 / 2 = 5 object to fill a single box, next step is to evaluate the denominator, in your case it tells us that 5 balls we have from the previous step will fill only 1/3 of the box. Now, in order to find out how much objects are required to fill the box fully we have to multiply the fraction of objects by the size of the box: 5 * 3 = 15. Just to refine, think of having 10 balls but the quantity is only enough to fill 2/3 of the box. You know the number of sections in the box, you can figure out how many balls are needed to fill one single section, then you simply multiply the number of objects from one section by the total number of sections in the box.
***** One of my future videos will about sending information back in time. Unfortunately, the conclusion of that video will be that this is not possible.
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
--To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video.
--If you believe that the translation in the subtitles can be improved, please send me an email.
Well this was an unexpected change of pace. I'm watching your "math videos" playlist IN ORDER and I find myself learning how to divide by a fraction after learning about the Lagrangian
In case, you have not already seen them, I also uploaded several other videos recently. As always, for each video that you like, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.
Eugene Khutoryansky Thank you so much for your videos Eugene. You do not receive the viewership that you truly deserve. Hopefully the word will get out and eventually you will be the "Khan Academy" of Math & Physics.
PS: Can you do a video on Spinors? I'd LOVE to see a video by YOU on this topic. Spinors are my current obsession and it is a difficult topic. The Wiki entry is good, but you do EVERYTHING so much better ;-)
you educate from a different point of view i like that :)
***** Thanks. I am glad you like that I do it from a different point of view.
Quick and easy to understand. Good work!
Simo Puttonen Thanks. I am glad you liked it.
My mind intuitively understood with this insightful visual explanation, Awesome delivery of info!!
Thanks!
I’m a big fan of your style of teaching!
would you happen to know where I can find a visual in your visual style to demonstrate what s^2 is from 9.8m/s^2?
@@EugeneKhutoryansky Happy New Years! Your videos are brilliant! How much would it cost to pay you for a visualization of this type to visually intuitively demonstrate an understanding of seconds square from acceleration? I’m seeking an exact visual breakdown exactly like this to understand what seconds square looks like visually
I am not sure if there is an intuitive way to describe it, other than the fact that acceleration is the rate of change in velocity, and velocity is the rate of change in position. I show how to visualize rates of change in my video on Calculus at ruclips.net/video/rjLJIVoQxz4/видео.html
@@EugeneKhutoryansky Appreciate you!! 💯
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ruclips.net/user/timedtext_video?ref=share&v=3D-f_nAYqHQ
You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
Details about adding translations is available at
support.google.com/youtube/answer/6054623?hl=en
Thanks.
I’ve never been able to visualize division by fractions until i saw this. thanks for the video!
While this shows the trick of multiplying the integer by the fraction's denominator, the illustration doesn't explain what the basic idea is. When you divide by any number, you ask how many of that number add up to the first number. I.e. How many 3s add up to 6? Two 3s add up to 6. How many 1/2s add up to 6? Well 2 halves add up to 1, and six 1s add up to 6, so 2 halves times 6 equal 12 halves. 12 halves add up to 6.
saeklin very good explination
To be more specfic division is the amount of times you subtract, not add.
Eugene, your videos are the best! It is a unique approach on physics
+n0sc0p3r, thanks for the compliment.
This explanation of division just blew my mind! I've never thought about it from this side.
Glad you liked my explanation.
The best channel on RUclips hands down.
Thanks for the compliment.
I like the way you make me think differently especially in physics :) Thanks if there were such people like you our education system would progress more :) Everyone should watch your animations :)
Shirshak Bajgain Thanks for that really great compliment. I appreciate that.
your videos are crisp and easy to understand. your voice and the delivery of contents superb. hats off to you. God bless.
Thanks for the compliment.
I had trouble explaining this to my brother, I think I have a good explanation now, gonna show this to him later. Keep up the good work and thanks a lot!
Great! I find the biggest problem with mathematics education is that kids are moved to the abstract before they grasp the concrete meaning of numbers, and are therefore get lost early on and never recover. Computer visualization is an amazing tool!
I really apreceiait what you're providing here in this chanell , you are really doing a hard work , now i understad alot of things more easy and clear . Thank you so much :)
Adel Omar Thanks. I appreciate the compliment.
Clever and funny.
Thanks.
Keep on making great explanatory videos.
MrVoayer Thanks for the compliment. Yes, lots more videos are on their way.
I’ve never understood this until now. Thank you
Glad my video was helpful.
Great video as always! Keep them coming!
Theenerd ジェームズ Thanks. Glad you liked it. Lots more videos on physics are coming soon.
Just for this video I think I will subscribe. Congrats ! U guys deserve it !
So any division is kind of like simplifying the expression to have a denominator of 1? Eye-opening.
you're probably the best editor alive lol
Right to the point and very clear, can't say I've thought of this that way before. Cool video
pendalink Thanks for the compliment. I am glad you liked it.
i never understood division by fractions, this helped a lot! thanks for another great video!
***** Thanks. I am glad to hear that the video was helpful, and I am glad that you liked it.
Thanks for these great videos. By the way to visualize the dividing process, it may be better to distribute the balls one by one to the boxes . My boy understands better in that way. Great work please keep them going.
Clever, but I'm afraid too clever by 1/2. :) Much simpler is to look at multiplication and its inverse, division, as iterative addition and substraction. So, when asked 6/(1/2) you say "How many times can I subtract 1/2 from 6?' With the intuitve answer of 12.
Excellent! A very intuitive explanation (with one typo at 0:23 when you say "six boxes" - it should be "three boxes")
Thanks. Yes, I am aware of that typo.
I'm so terrible at understanding this that I had to look up a visualisation. I still don't get it.
The problem says one set of 6, and one half. So where do 12 balls and 2 halves come from?
Division using the ball and box example here roughly means like "If in n boxes there are m balls in total, how many balls there would be if there was only one?"
With the equation being m divided by n (m/n) and assuming each box has the same amount of boxes
In the 6 divided by 1/2 example, it basically translates to "if in half a box there are 6 balls, how many balls we would have if we had a box instead?"
Great. This I will show to my daugther and others students for to undersand the mágico of the mathematic.
Carlos Loures Thanks. I hope your daughter and the other students like it.
There is a mistake at 0:25. There are six balls not six boxes
NickeTMD Yes, that is a typo that I put into the script. Thanks for pointing that out. I'll try to be more careful in the future.
Eugene Khutoryansky it's ok. keep it up with the good videos!
NickeTMD I
Great vid!
1:07 But why????
You wanna know how many balls there are in 1 box. Not in half a box.
I am thinking of it many years ago today i learned thanku so much
Is it just me or did everyone notice the mistake on 0:26 It says 6 boxes instead of 3
*mindblown*
Kill723 (Schrödinger's Kitten) Glad to hear you had that reaction.
What about the division of two fractions? ^^
what if you had say 10 divided by two thirds?
+Oliver Baker that's putting 10 balls into 2/3 of a box. You still count how many balls are inside of a single box but that won't be a whole number of balls because 3 doesn't go into 10 evenly (i.e. its not an integer number).
If we follow the logic presented in the video than we can think of 2/3 fraction this way - the numerator (2) tells us among what number of boxes our dividable (10) should be spread, so 10 objects should be equally spread among 2 places: 10 / 2 = 5 object to fill a single box, next step is to evaluate the denominator, in your case it tells us that 5 balls we have from the previous step will fill only 1/3 of the box. Now, in order to find out how much objects are required to fill the box fully we have to multiply the fraction of objects by the size of the box: 5 * 3 = 15.
Just to refine, think of having 10 balls but the quantity is only enough to fill 2/3 of the box. You know the number of sections in the box, you can figure out how many balls are needed to fill one single section, then you simply multiply the number of objects from one section by the total number of sections in the box.
What sorcery is this? Awfully clever. Thanks
Khutoryansky for kids
Great video
Rodrigo Appendino Thanks. Glad you liked it.
but there are 3 boxes?
Hrak Bidkhanian Yes, there are three boxes. That was a typo.
You are the best!!!!
Can you make videos for basic functions like addition, subtraction, division, multiplication, types of numbers, basic algebra..?
+Harry Potter, I already have video similar to that. It is the one titled "Algebra and Mathematics." Thanks.
Thanks!
Thanks.
can you give me the code
Thank you, I love the meaning
Glad you liked my video. Thanks.
If I only had this video at hand when I was 10... You are a decade late, Eugene :(
***** One of my future videos will about sending information back in time. Unfortunately, the conclusion of that video will be that this is not possible.
thank you .. this is Holy
2nd excluding your comments!! XD Nice video by the way, very informing
Great!
Daniel Cortes Diaz Thanks. Glad you liked it.
Upload more plzz on maths
Thumbs up.
Vee Zee Glad you liked it. Thanks for the thumbs up.
Thank you
You are welcome and thanks.
All I can say is you got a lot of balls.
Oh mi gosh
No thits a typo
Ou no a typo!
WHY DO I KEIP ON DOING TYPOS
STLP
*_WHY DO I KEEP ON DOING TIPOZ_*
0:35 Ugh, that looks like what was left of me after my last relationship.
c: