And she would be correct! Arithmetic is not what mathematics is about, mathematics is about explaining what is happening in the world etc. it's why we literally have computers that do arithmetic computations for us instead.
haha so true. plus, in that particular class you can imagine the amount of addition/subtraction we had to do by hand, so it was really easy to mess one calculation up when you're doing NxN matrices
My high school maths teacher used to do the same thing when she became confused. She would start muttering in Czech, and I'm still not convinced that there were no cusses in the middle of what she used to say.
If anyone wonders what he said, here’s the translation (not 100% accurate) 1:00, Retake… 1:30, Wrong again? 1:51, How is it 8? Strange… 1:55, How is this 8? 12, 13… 2:12, Ehh, wait a second, why is it… 2:20, That’s -1 times… Ah! -2 la!
@@bprpfast I am from Hong Kong and I’m not really good at Putonghua so I can’t guarantee I translate it accurately. But I’m extremely glad the translations are accurate lol
I remember friends of mine, who during the exam would put the most simple things, like 2 + 3 or something divided by 1 into a calculator, just to make sure it still equals to whatever it should equal.
this video had me dying of lughter. It's so relatable when you make a simple arithmetic error and have no idea what you did wrong. infact it happened to me to today as i was revising for my TMUA exam for admission into Camebridge.
2(-1)³ = -2 Proof: 1. 2 * (-1)³ means that we do 2 * (-1)(-1)(-1) because we're cubing (-1). 2. Now, we can multiply this out in any order we want because of the commutative property. The way I'm going to do this is I'm going to multiply all of the -1s out, then multiply that by 2. 3. (-1)(-1)(-1) = -1 because when you multiply by a negative number, it's as if take the opposite of the product. So for example, if you had 4 * -5, that would be the same thing as saying the opposite of 4 * 5, or -(4 * 5) = -20. 5. Since we're multiplying by 3 negatives, we're taking the opposite three times, which leaves us off with -1. 6. That leaves us off with 2 * -1 which is of course -2.
Thank you for this video. I get frustrated with those little stupid mistakes, I tell my students I will be doing a lot of math,I am bound to make mistakes tell me as soon as you see it.
1:28 You know he's in trouble when he switches to Chinese. "What? Wrong again?!" And at 1:49 "How can it possibly be 8? Strange... How is this 8? 12, 13..."
The problem is fairly simple at first find the derivative. factor out the 6, factor again, then the arithmetic comes in. I was a little confused myself. The problem with coefficients and exponents lol which do you do first.
If anyone wonders what he said, here’s the translation (not 100% accurate) 1:30, Wrong again? 1:51, How is it 8? Strange… 1:55, How is this 8? 12, 13… 2:12, Ehh, wait a second, why is it… 2:20, That’s -1 times… Ah! -2 la!
Previously... ua-cam.com/video/imiAEXDRDys/v-deo.html
This hits me lol. I’m pretty much ok with most of the other stuff but I need my calculator for 5 + 6.
As my Linear Algebra professor used to say, "Arithmetic is not mathematics!" (she was awesome)
And she would be correct! Arithmetic is not what mathematics is about, mathematics is about explaining what is happening in the world etc. it's why we literally have computers that do arithmetic computations for us instead.
haha so true. plus, in that particular class you can imagine the amount of addition/subtraction we had to do by hand, so it was really easy to mess one calculation up when you're doing NxN matrices
My high school math teacher also said this 😅
As mine said, Never let numbers get in the way of beautiful mathematics.
Legend has it your arithmetic gets weaker the more you delve into advanced mathematics.
Not legend has it, I've seen enough math professors resort to the calculator. I'm starting to feel it, myself.
I hear that in pure math people just use proof and start avoid computation. I don't know it truth or not ?
Omg all my mistakes in my HSC extension exam were arithmetic errors 😭 I could simplify complex numbers but also said 3/1=0
@@kakiytjarone8415 I also make the same mistakes on my papers. I saw 4 × 4 and my dumbass was like *8*
i spent like 2 minutes having to convince the smartest person in my calc class that e*e does not equal 2e
Love how he begins to speak Chinese when really confused 😭
😭💀
His social credit powers is so incredible...
@@sicko5821 hes from taiwan...
@@guillermo3412 ik I am just joking
@@guillermo3412 the true china
My high school maths teacher used to do the same thing when she became confused. She would start muttering in Czech, and I'm still not convinced that there were no cusses in the middle of what she used to say.
There's no better language to cuss than your native one
@@C4lmaria actually, most Chinese I know agree that cussing in English is more cathartic.
If anyone wonders what he said, here’s the translation (not 100% accurate)
1:00, Retake…
1:30, Wrong again?
1:51, How is it 8? Strange…
1:55, How is this 8? 12, 13…
2:12, Ehh, wait a second, why is it…
2:20, That’s -1 times… Ah! -2 la!
😆
It is 100% accurate btw
@@bprpfast I am from Hong Kong and I’m not really good at Putonghua so I can’t guarantee I translate it accurately. But I’m extremely glad the translations are accurate lol
1:00 another time then
@@nathanjiang100 he said 'let's do it again'
Programmers debugging their code be like:
😆
😂
I remember friends of mine, who during the exam would put the most simple things, like 2 + 3 or something divided by 1 into a calculator, just to make sure it still equals to whatever it should equal.
I relate on so many levels. At least the answer key had your back! Always have answer keys!
The answer key for my tutoring has so many errors I’ve given up consulting it 😭
When you are so focused on advanced topics that you forgot basic stuff:
this video had me dying of lughter. It's so relatable when you make a simple arithmetic error and have no idea what you did wrong. infact it happened to me to today as i was revising for my TMUA exam for admission into Camebridge.
Why do i relate to this so much
2(-1)³ = -2
Proof:
1. 2 * (-1)³ means that we do 2 * (-1)(-1)(-1) because we're cubing (-1).
2. Now, we can multiply this out in any order we want because of the commutative property. The way I'm going to do this is I'm going to multiply all of the -1s out, then multiply that by 2.
3. (-1)(-1)(-1) = -1 because when you multiply by a negative number, it's as if take the opposite of the product. So for example, if you had 4 * -5, that would be the same thing as saying the opposite of 4 * 5, or -(4 * 5) = -20.
5. Since we're multiplying by 3 negatives, we're taking the opposite three times, which leaves us off with -1.
6. That leaves us off with 2 * -1 which is of course -2.
Thanks for that
I wish I knew that yesterday 😆
You learn something new every day lol
@@pebble6248 are you serious? Of course we both knew that
Wait wait hold on... (-1)³ = -1?! Where did that come from?! Where's the proof??
The same happened with me in my previous video solving the IMO 1960 problem 1😅
That's why I don't trust myself each time and double check my work 😂
Lol even I have done arithmetic errors on many maths exams (few of them were literally very embarrassing like miscounting cases in combi lol)
This is so comforting to know you are human 😆
😆
I solve complex differential equations the proceed to use calculator for 1+2
The only abs I can work out for
😭💀
💀
I didn’t even notice it was -8instead of -2
Then there is me who gets stuck in both arithmetic and calculus
You know he's getting confused when he starts saying the numbers in Chinese.
Yeah I feel this on a very deep level.
at an exam I ever got 7/2 wrong, it supposed to be 3.5, but i wrote 3.55 lol
Thank you for this video. I get frustrated with those little stupid mistakes, I tell my students I will be doing a lot of math,I am bound to make mistakes tell me as soon as you see it.
literally me in every exam
I also do that.. When I get that my answer is wrong.. I see the answer key again and again hoping that the answer given may change magically
As a Chinese person I don’t need a translator
i once wrote that 9/2 was 3.5 on an algebra exam, i could've got a perfect score if it wasn't for that
1:28 You know he's in trouble when he switches to Chinese. "What? Wrong again?!"
And at 1:49 "How can it possibly be 8? Strange... How is this 8? 12, 13..."
It’s the easy stuff I don’t focus my entire brain on
Me solving trignometric equations:
cos6x=0 for 0>=x>=π
x=π
Then me trying to find the other solutions:
What's 2π-π? Hmmm I think I need a calculator
i feel you 😂😂😂
The problem is fairly simple at first find the derivative. factor out the 6, factor again, then the arithmetic comes in. I was a little confused myself. The problem with coefficients and exponents lol which do you do first.
Man this video just made my day wow. when the mandarin came out i was just rolling on the floor (btw i can speak mandarin)
2(-1)³ = (-2)³ 💀
You know it's legit when he speaks Chinese
抱歉，我還是不爭氣地笑了🤣
Wait wait -8 what man
2(-1)^3=-8
how many red markers he got LOL
^_^ story of my life in college
2:00 笑死 佢點將2（-1）^3=-8
Can someone please translate confused Chinese words?
If anyone wonders what he said, here’s the translation (not 100% accurate)
1:30, Wrong again?
1:51, How is it 8? Strange…
1:55, How is this 8? 12, 13…
2:12, Ehh, wait a second, why is it…
2:20, That’s -1 times… Ah! -2 la!
@@yoink2188 thank-you.
@@mathevengers1131 :)
I can relate
It seems like the beard had it's wisdom...
I thought 45/5 was 5 in an exam I still got the mark though
This is the mathematical proof that you are human!
2*(-1)^3 is 8 lol
no lol
2
But hes asian !
How do you have so much confidence to the answer key?