My teachers at school made me learn for years but still i failed in this topic Today morning I watched this Wow i passed! Love you Khan Academy Youuuuu so great! I don't have words, I am so happy Thanks!
Khan: " Today were gonna learn about rational numbers... rational numbersss.." Student: "Okay I get it rational num- " Khan: " Rational numberss... rationallll numbers..."
I feel like teachers in school most of the teachers really are confusing and don't explain well youtube has helped me a LOT in math and I really thank khan academy for helping me :)
Rational numbers are ratios of integers, including decimals with patterns. Irrational numbers, like pi and the square root of2, never terminate or repeat. There is always an irrational number between any two rational numbers, and the sum or product of an irrational and rational number is also irrational. [00:00] Rational numbers are ratios of integers, including non-integers like 3.75, which can be represented as 375/100 or 15/4. - Integers are rational numbers - Non-integer rational numbers can be represented as the ratio of two integers - Examples of non-integer rational numbers include 3.75, which can be represented as 375/100, 750/200, or 15/4 [01:56] Rational numbers can be represented as the ratio of two integers, but some famous numbers in mathematics are not rational. - Rational numbers can be expressed as a fraction of two integers - Repeating decimals can also be represented as the ratio of two integers - Some famous numbers in mathematics, such as pi, are not rational [03:47] Irrational numbers are exotic but not uncommon, with an infinite number between any two rational numbers. - There is always at least one irrational number between any two rational numbers - Taking the square root of any non-perfect square or adding an irrational and a rational number results in an irrational number
I'm glad the "PAUSE" button is here so people can "pause" the video whenever they like and have a look at what the person in the video is trying to teach so they can stop and have a think about it!
if anyone is still confused,here is the definition in simple terms *Rational Numbers* : All the numbers in the form of p/q,aka fraction,where "q", aka denominator,is not a zero are called "rational number".It's denoted with the capital letter "Q" *Example* : {2/6,4/8,9/4,....} *Irrational number* :literally any number with the square root sign "√'" *example* : {√'3,√'8,√'100,√'pi.....}
00:05 Definition of rational numbers 01:03 Understanding rational and irrational numbers 02:00 Rational and irrational numbers can be represented as the ratio of two integers or repeating decimals. 02:36 Representation of repeating decimals as ratios of integers 03:18 Rational numbers include integers, finite non-repeating decimals, and repeating decimals. 04:12 Irrational numbers never terminate and never repeat. 04:46 There is always an irrational number between any two rational numbers. 05:25 Understanding the properties of irrational and rational numbers
i had 2 choices, watch a video my teacher sent me that explains to me the exact same thing, but takes 16 minutes, or watch this. and of coarse i chose this! this is really helpful
our teacher was teaching us for a month just for this and no 1 learned it but now i fully understanded it in 5 minutes i wish i could pay some thing for u
I love that you basically answered this within 30 seconds of starting the video. It wasn't obvious to me until you emphasized the "ratio" part of rational numbers.
I have a silly doubt.. what if 22/7 becomes something like 3.1415926535914159265359 (Just an example) Then pi has a repeating pattern of 14159265359. It should then be considered rational right? What I exactly ask is... do we have a number of digits after which we should not consider it as rational even if it repeats? I find it very hard to put into a question. But believe me, I have visited a LOT of videos on irrational numbers and only your video is satisfying. So I'm sure you understand me.
The Ratio between the Circumference and Diameter of any Circular objects like Small Ring to Big Moon always is π (Pi)... For example, Take a small Ring. Using thread measure it's Circumference (C) and Diameter (d). Now, C/d = one answer in Numbers.... Next imagine you are measuring Moon Circumference (C) and it's Diameter length. The ratio is: C/d = gives the same answer in number what we got in the case of small Ring. Conclusion:. C/d = Same number every time... That same number is π.... C/d = π . So the circumference of a Circle formula is C/d = π C = πd C = π (2r) C = 2πr units... Pi is the 16 th Letter of Greek Alphabet.... Almost maximum Maths Symbols we are using is Greek Language Letters.... Difference Between Rational and Irrational Numbers: Rational Number: It has Non-Terminating and Repeating (Recurring) places of Decimals. Example: 10/3 = 3.33333333... 22/7 = 3.142857 142857 142857..... Irrational Number: It has Non-Terminating and Non-Recurring places of Decimals. Example: √2 = 1.412135623 π = 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ... Hence Real Numbers = The Set t of Rational Numbers + The Set of Irrational Numbers...
@@Intellectualcuriocitybro your lucky you didnt had Internet its distraction bro at your time you had 4 distractions now we have 40 there's difference bro
Thanks khan academy... today at school we were learning Zeno's paradox and I could not understand it. Now after watching this amazing video, I am happy to say that now I understand it
Amazing explanation. I feel a little obfuscated how the majority of your viewers did not understand. There could not be a better explanation. Some ignorant people are asking peculiar and sarcastic questions like : What's a rational number? Didn't you freaking the video? Its a number that is either recurring or can be placed in a ratio/fraction format! Thank you so much for this video. I've been a little bewildered by this topic. I'm currently in grade of and definitely know that there are millions of topics to cover and a long journey stands before me!
Thanks for the clear explanation of rational and irrational numbers. Putting a label on different numbers can be confusing. I liked your video so muchI linked to your video in my video notes.
Khan Academy is fantastic, although it needs some upgrades on their website, Other things AMAZING! I have a good math teacher (Indian obviously) But he talks fast :/ So I searched this on UA-cam for my exam, I am confident with this, Thanks.
Yes thank you my online school is so dumb and does not teach me in a way I can understand this taught me more than the computer did which just expected me to understand
Thank you Khan for the hashtag, I was put into remedial classes recently and i started to believe Natural Selection, I felt my existence was simply to be inferior by nature . Telling me that gives me just confidence and motivation to work harder and catch up , I would like to make a difference in the world 🌎 one day . I’ll play an important role in making the quality of life better for all life , I won’t stop 🛑 😤
Your way us very precise. And you define the main thing that you've mentioned in the topic. You are teaching very nicely but i would request you to define other terms also. Just like if you are teaching rational number and you've mentioned the recurring decimals now let us know what is recurring decimal and how can it be found?
I really hate math and honestly I would rather have all my nails pulled out one by one than ever do math again but I have to do it and if I do it I might as well do it correctly
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
Thx you teach better than my real math teacher
fearirin NO REALLY
My current teacher is like the khan academy guy but my old teacher was trash
Dumbo Cow same
My teacher is exatly like khan and hes indian
My teacher is Khan
I wish you were my teacher ;-;
If you're watching this video and focusing on the content, he is your teacher ;)
My teachers at school made me learn for years but still i failed in this topic
Today morning I watched this
Wow i passed!
Love you Khan Academy
Youuuuu so great!
I don't have words, I am so happy
Thanks!
Ghufran Ahmed hey are you wahaj and Ghufran cuz I think your my cousins I’m watching this in 6th grade XD
Congratulations🤩😘😜
@@artsandcrafts6863 i wasnt able to find it there so i searched on yt and found the right video
yes
khan academy skill
3:41 Irrational numbers, my timestamp for future reference
thank you
Khan: " Today were gonna learn about rational numbers... rational numbersss.."
Student: "Okay I get it rational num- "
Khan: " Rational numberss... rationallll numbers..."
lol
Zay Zay so funny haha 😑😑😑😑😑😐😐😐😐🖕🖕🖕🖕🖕🖕🖕
Haha his name is Sal his last name is Khan
lol your right he did say that
@@shitpostgod2656 😐
10yrs later and ur still teaching me new things. Thank you for being in my life as an ACCUAL teacher
Iiiiiiiiiiirratinal Numbers.... Iiiiiiirtatinal Numbers..... Iiiiirrational Numbers......
X)
XD
I love how he says it! XD lol.
Levi Rivialle!!! On ICE lol ya
haha same
hahahhaah.................
you got him
3:50
Me too still. ;)
Who is just looking down in the comments while there watching the video 😝 maybe it is just me okay 👌🏻
lol im doing that rn
💩
😂I am too
Lol
Lol me🤣🤣🤣
I feel like teachers in school most of the teachers really are confusing and don't explain well youtube has helped me a LOT in math and I really thank khan academy for helping me :)
Rational numbers are ratios of integers, including decimals with patterns. Irrational numbers, like pi and the square root of2, never terminate or repeat. There is always an irrational number between any two rational numbers, and the sum or product of an irrational and rational number is also irrational.
[00:00] Rational numbers are ratios of integers, including non-integers like 3.75, which can be represented as 375/100 or 15/4.
- Integers are rational numbers
- Non-integer rational numbers can be represented as the ratio of two integers
- Examples of non-integer rational numbers include 3.75, which can be represented as 375/100, 750/200, or 15/4
[01:56] Rational numbers can be represented as the ratio of two integers, but some famous numbers in mathematics are not rational.
- Rational numbers can be expressed as a fraction of two integers
- Repeating decimals can also be represented as the ratio of two integers
- Some famous numbers in mathematics, such as pi, are not rational
[03:47] Irrational numbers are exotic but not uncommon, with an infinite number between any two rational numbers.
- There is always at least one irrational number between any two rational numbers
- Taking the square root of any non-perfect square or adding an irrational and a rational number results in an irrational number
thanks i have a test tmrw XD
whatcha get on that test bro
The comment was posted 2 years ago
Me to🤣
Same here altho u had the test 2 years ago but okay
The one time I pay attention in class
I'm glad the "PAUSE" button is here so people can "pause" the video whenever they like and have a look at what the person in the video is trying to teach so they can stop and have a think about it!
hmm
Hmmmm
if anyone is still confused,here is the definition in simple terms
*Rational Numbers* : All the numbers in the form of p/q,aka fraction,where "q", aka denominator,is not a zero are called "rational number".It's denoted with the capital letter "Q"
*Example* : {2/6,4/8,9/4,....}
*Irrational number* :literally any number with the square root sign "√'"
*example* : {√'3,√'8,√'100,√'pi.....}
Except for perfect squares. square root of 100 is equal to 10 which is a rational number
Is it just me or is Sal's voice soooo calm!
FANTASTIC WAY OF TEACHING SIR... AWESOME
is your caps lock stuck on?
@@MaxxAndKfoxfr
i think the khan academy dudes voice is close to Morgan freeman's
yes
lol true
Not even close.
Dom Anca yeah Obama
Metalma sixx Yass
00:05 Definition of rational numbers
01:03 Understanding rational and irrational numbers
02:00 Rational and irrational numbers can be represented as the ratio of two integers or repeating decimals.
02:36 Representation of repeating decimals as ratios of integers
03:18 Rational numbers include integers, finite non-repeating decimals, and repeating decimals.
04:12 Irrational numbers never terminate and never repeat.
04:46 There is always an irrational number between any two rational numbers.
05:25 Understanding the properties of irrational and rational numbers
i had 2 choices, watch a video my teacher sent me that explains to me the exact same thing, but takes 16 minutes, or watch this. and of coarse i chose this! this is really helpful
Please watch the video your english teacher sent
@@ronaldobetter4779 i failed in spelling last year ok?
*course
@@tableswithoutchairs1168 oh sorry
You are god gifted men. Because no teacher can explain this chapter in 5min.
thank you so much! this helped a ton. your voice is so soothing to listen to and you're simple and straight to the point. I like it! 🌻
our teacher was teaching us for a month just for this and no 1 learned it
but now i fully understanded it in 5 minutes
i wish i could pay some thing for u
My math teacher took 3 days to explain everything and this man takes only 5 MINUTES TO EXPLAIN.
Which class??
Me 9th
There are as many as 30 different learners in a classroom and not all of them learn as fast as you or as easily as you. Get some perspective.
@@rupeshranjan8769 9th as well
I love that you basically answered this within 30 seconds of starting the video. It wasn't obvious to me until you emphasized the "ratio" part of rational numbers.
I still can’t really understand it, but I just needed to know how do you get a irrational number.. so thanks 🙃
here too
@miasims7575 still don't get it?
Same
😂I watched this 15 times in a row because my math regents are tomorrow
🤣
How are you now?
I'm watching this before my school starts💀💀😭
I have a silly doubt.. what if 22/7 becomes something like 3.1415926535914159265359 (Just an example) Then pi has a repeating pattern of 14159265359. It should then be considered rational right?
What I exactly ask is... do we have a number of digits after which we should not consider it as rational even if it repeats? I find it very hard to put into a question. But believe me, I have visited a LOT of videos on irrational numbers and only your video is satisfying. So I'm sure you understand me.
Ur question is confusing
You make perfect sense. It's a grey area that probably needs clarification
Thanks. Probably should ask gen ai I believe. Hope chatgpt doesn't bluff this time
few hours left until exam and im so glad i found this helpful vid :0 and also...gahdamn that voice tho. its majestic ^3^
I like these types of videos, not because of the math, but because they way he writes perfectly with that writer
"And we call these numbers, Irrational, iiraationalll, irraaaatttiiiooonallll, iRaTiOnALlLLLLlllLLLLlLLLlL
LlllllllL" 👏👏😂
Brooklynn Fynn put it on ×0.25
I wish i had these time of foreign teacher in pakistan.
POV: you have a test tomorrow and you ARE NOT READY
Yes... What did you get?
@@ajtessman a 67 😭
@@EZ-kq9xj I got a 45 😭😭 then I did a retake and got 70
Every students bias is KHAN ACEDEMY!!
Thanks a ton.
good to revise basic concept
👉💯✔👍✌
Thanks so much. Your videos are exceedingly helpful in a simple easy way.
The Ratio between the Circumference and Diameter of any Circular objects like Small Ring to Big Moon always is π (Pi)...
For example, Take a small Ring.
Using thread measure it's Circumference (C)
and Diameter (d).
Now,
C/d = one answer in Numbers....
Next imagine you are measuring Moon Circumference (C) and it's Diameter length. The ratio is:
C/d = gives the same answer in number what we got in the case of small Ring.
Conclusion:.
C/d = Same number every time...
That same number is π....
C/d = π .
So the circumference of a Circle formula is C/d = π
C = πd
C = π (2r)
C = 2πr units...
Pi is the 16 th Letter of Greek Alphabet.... Almost maximum Maths Symbols we are using is Greek Language Letters....
Difference Between Rational and Irrational Numbers:
Rational Number:
It has Non-Terminating and Repeating (Recurring) places of Decimals.
Example: 10/3 = 3.33333333...
22/7 = 3.142857 142857 142857.....
Irrational Number:
It has Non-Terminating and Non-Recurring places of Decimals.
Example: √2 = 1.412135623
π = 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
Hence Real Numbers = The Set t of Rational Numbers + The Set of Irrational Numbers...
I am 35 and learning this.. wish I had access to internet during school days
Very bad.but why r u learning this useless thing?learn coding or languages or anything u like
@@arifafahmida4045 learning coding or csc without basics in math...
@@Intellectualcuriocitybro your lucky you didnt had Internet its distraction bro at your time you had 4 distractions now we have 40 there's difference bro
i love how he sounds excited even talking about math, it helped me understand this more somehow :)
Thanks khan academy... today at school we were learning Zeno's paradox and I could not understand it. Now after watching this amazing video, I am happy to say that now I understand it
How could this video be so beautiful? How could this teacher be so amazing?!!! I can't believe this video was 9 years ago..
Amazing explanation. I feel a little obfuscated how the majority of your viewers did not understand. There could not be a better explanation. Some ignorant people are asking peculiar and sarcastic questions like : What's a rational number? Didn't you freaking the video? Its a number that is either recurring or can be placed in a ratio/fraction format! Thank you so much for this video. I've been a little bewildered by this topic. I'm currently in grade of and definitely know that there are millions of topics to cover and a long journey stands before me!
Didn't you freaking watch** the video? I can't seem to find the edit button
Grade 9*
It's*
WOW MATH RATIONAL AND IRRATIONAL NUMBERS IS SO EASY I NEEDED THIS FOR MY SCHOOL CLASS THANKS KHAN ACADREMDY
Academy
Awesome it became so easy for me and helped mea a lot thanks a lot
helpful info thanks
This seems like highschool.... Only a 7th grader... ;-;
Im a 6th grader ;~;
Me too
Manly Fairies me too😘😘
i wonder "why" its called "introduction" to rational and irrational numbers...
That_One_Septiplier_Fan Ima 6th grader... this is too hard for me!
Thank you very much sir for clear my concept on rational and irrational number
thanks I finally found a video that helps me:) hopefully I pass my test tomorrow:)thanks
Did you pass?
you pass?
Don’t leave us hanging Jess
You are so awesome, let the haters hate because they're nothing in life.
True...
*EnglishPremierLeague Central* kind-of yes
Btw I am in 8th grade now
a very educational video I recommend it for teachers all over the world
This is a review I have to use for midterms tomorrow
Is anyone else 23, graduated from college, and only here reviewing because DAT Bootcamp told you to? .... Just me? Okay
haha
(8th grader here)
@@SreenikethanI same
same lol
6th
Mad Scientress no aha i’m in 8th
Bro u teach me better than my math Teacher
Super great video it helped me a lot! thanks bro.
:)
Im here because im refreshing my memory for college working from Pre Algebra to Calculus my father is a math teacher and gave me his books
Thanks for the clear explanation of rational and irrational numbers. Putting a label on different numbers can be confusing.
I liked your video so muchI linked to your video in my video notes.
By taking inspiration from your videos , Making videos in Hindi / Urdu.
You are great.
Khan Academy is fantastic, although it needs some upgrades on their website, Other things AMAZING! I have a good math teacher (Indian obviously) But he talks fast :/ So I searched this on UA-cam for my exam, I am confident with this, Thanks.
I have been watching you for 4 years now and i am now getting the chance to subscribe
what app do you use for your videos and how much did it cost???
That's photoshop. I think its a modifier/add on or something that makes it to where you can draw on it like a chalk board.
Thank god we found you we didn't understand this so me and my mom learned something before I failed
When there’s a break during lecture I come here to actually understand it.
Thanks I took a nap during class and am struggling on homework rn
its a good thing his explanation is very simple you make you understand queckly
YOU CAN'T SPELL YOU NOOB
family pack *You can’t spell, you noob.
_강대성Daesung r/roastme
'preciate it🔥🔥I'll be back in 5 years to thank you again
Comment section not dead even after 7 years
People want a "Rational" explanation... I'm so sorry
Thanks💕
Easy way of learning
Irshad Sheikh ģ
Guys!! Sal said "irrational numbers" like four times in a row(4:00). Great video, BTW
Really Appreciate your work . 💯💯
Yes thank you my online school is so dumb and does not teach me in a way I can understand this taught me more than the computer did which just expected me to understand
Thank you Khan for the hashtag, I was put into remedial classes recently and i started to believe Natural Selection, I felt my existence was simply to be inferior by nature . Telling me that gives me just confidence and motivation to work harder and catch up , I would like to make a difference in the world 🌎 one day . I’ll play an important role in making the quality of life better for all life , I won’t stop 🛑 😤
In this true world maths exists..❤❤🎉🎉
This was mad helpful!
fire profile pic bro
Very simply explained. Thank you.
Why is his voice kinda...😍
REAL😭
Nice teaching 👍👍👍👍👍👍👍
Thanks.This helped!
You should be my maths teacher
thank you sooo much :)
So helpful!! Even my own teachers say if I don’t understand it to look it up on khan academy 😂
thank you
Hi I’m from Kazakhstan ( English is my 3rd language. I’m not native speaker ) and I understand this topic!
Thank you. :)
Your way us very precise. And you define the main thing that you've mentioned in the topic. You are teaching very nicely but i would request you to define other terms also. Just like if you are teaching rational number and you've mentioned the recurring decimals now let us know what is recurring decimal and how can it be found?
My school teacher really did send me here during Corona
Actually same
I like maths its helping me lots its soooooo amazing
so what is a rational number...
lol
it is a number that you can put as fraction. RATIO
Vicky suleman
0:01 here you go
Vicky suleman Puri Mahabharat ho gye or puch rhe ho ram kon hai 😂😂
I understand this topic better thanks to this video
Lol he kept repeating each title like a thousand times! Thx really helped
You still alive?
thank you I like all you're videos
7 years later this video has helped me pass my online exams during quarantine
I guess you should my math teacher
IM IN FIFTH GRADE Y'ALL
I'm in 6th grade yall
@@xt5472 im in grade 8 yall
🤣12th
I think you are doing great job cheer up!
yeas
Did you just respond to your own comment??☠️
@@maryambrooks3354 lol
I really hate math and honestly I would rather have all my nails pulled out one by one than ever do math again but I have to do it and if I do it I might as well do it correctly
oh God
chill
Why the nails though. Like...OW, how are you gonna scratch yourself?
ouchhh
Ayedan Moscal ouch at the thought of your nails being pulled out
I would rather put a nail under my toenail, and smash that nail against a wall repeatedly, then stab a knife into my arm then do math again.
it is very usefull,at the time of lockdown due to covid-19
I appreciate your teaching style! Thank you!!!
I'm learning 🤓
5x Irrational Numbers
This is best teacher of all time