Scientific Notation - Explained!
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- Опубліковано 1 лют 2011
- Scientists have to work with some very large and some very small numbers. To represent these numbers more easily, they use scientific notation. Scientific notation relies on powers of 10. This video gives examples of how to represent a large and small number and explains powers of ten.
All of the comments pointing out that people learn this in 6-9th grade are missing the point. Almost EVERYTHING Derek makes videos on is taught at some point in the education system, but people either forget it or have a fundamental misunderstanding. He's not trying to teach graduate level information. He's trying to correct the foundation that so many people have built upon sand.
+Mike Garner Actually, there are people that don't know this things! including me. So it does teach some people.
Some people may learned it already some dont.
i agree with you. thanks for your opinion mike garner
+
I agree with you.
Mike Garner jjjj
I see you've been watching numberphile... All good points but the number of protons is not just over half of a googol - it's much much less. Just as 10^2 is not half of 10^4 (it's 1%)
Hi
No. Of protons in sun would be 1.19545726e50 !!!!!
@@harshrivastava08 I'm laughing at the insignificant numbers included in the calculated guesstimate. 1.2e50
Sir you are great
I am in class 9
And it helps in remembering the size of proton it's 1.673 into 10 raised to the power minus 27
Thank you 😊
Yes sir👍
I love this video, and have shown it to my students every year when I teach scientific notation. I teach 5th grade. It's not only highly informative, but fun to watch. :-) THANKS!
This is a great UA-cam channel keep it up Derek!😁
Love your video and many high schoolers need this too. Great job explaining. So I teach at an alternative high school and many of my student's traditional teachers gave up on them years ago and just ignored them. They need as much support as possible. This will help .a lot.
@BAR2Q12 Sure - it would be unconventional but you could do it. Scientists prefer one digit in front of the decimal place for some reason.
Hello
Mr. Muller, you truly have a thing for this...amazing explanation and GREAT humor😂. Keep it up!👏🏻👍🏻
Interesting videos. And the ones where he explains subjects are really well done. He makes this subject easy to understand and use. Chem. is going to be a lot easier tomorrow. Thanks!
Your videos are so awesome man! An easy-way to understand basic fundamental facts that means to be known, and you make it soooo funny!! ahaha thanks dude!
LOL for the comment "Can you repeat that?"
wait wdym can you repeat that?
@@snowflakehub6878 watch to the end of the video and you'll understand.
Expected from u
I think he said two zero zero zero zero zero zero...
Brilliantly explained. Thanks a lot! This can be directly used as example for teaching confused kids the beauty of exponents.
This actually helped me understand this a lot better thanks.
(2.0 x 10^30) / (1.673 x 10^-27) =
(2.0 / 1.673) x (10^30 / 10^-27) =
1.195 x 10^(30- -27) =
1.195 x 10^57 protons
yay math!
moosefarms I think all these "1.25" answers are coming from diving 2 by 1.6 instead of 1.673...
I used i diferent way to get that answer, frist i calculate the numbers of the protons in 1kg after that just multiple by the mass of the sun and get the answer. 1.195457262 * 10^57 :D
You forgot parenthesis before "-27", it's "30 − (−27)", not "30 − −27".
P.S. I know, I'm being pedantic, but I'm right as well. :D
you are totally correct. whoops
Giorgi Gzirishvili I was going to say...but glad you pointed that out.
Great lesson Derek !! I loved that ❤🖒
looking to start my own channel, interesting to see your development ! just here reviewing your old vids !
Wow! Thank you! You have made scientific notation easy for even the youth!
Love it! Home schooling a 9th grader and a mama needs some reminders. Thanks for making it fun!
Very amazing video as a pioneer video for a scientific youtube channel!
Why couldn't you have been my teacher when I was learning this stuff in high school? lol
Who is watching in 2024
Yeh. Here it's me. A legend 😎😅😂
Legends
Thank u so very much for making this video i was needing that soooo much
This was a good video. THIS is what UA-cam should be about. Well done.
@creektimothy my guess would be yes.
Question, Mr. Tassium: My brother and I live 10 mi. apart, but often a text takes 2 weeks to arrive. where do they hide out? or do they just swirl around c-clockwise in the north. hemisphere?
0:45. I just died with that level of cuteness. Sorry Dr.
Guilty as charged
THANK YOU SO MUCH!!!!!! This helped me so much! yay!
This video really enlighted me about the scientific notation I 'learned' from school.
I think that was for me what you said music meant to you for about 2 years, hehe :/
MY MATH TEACHER JUST TEACHED THIS TO US AND SHOWED THiS VID AND mE AT SCHOOL WAS LIKE
ME: VERITASIUM!!!! I KNOW THAT GUY
*taught
@@avhuf teached😂
You're so Lucky mannn
I think the carrot notation is pretty much the standard exponent delimiter in plain text.
It could also be written as 2 * 10^30 or 2(10^30) in algebraic exponential notation, or 2e+30 in IEEE standard exponential notation.
Although I still think that the terminology of 10^30 as "multiply 10 by itself 30 times" is ambiguous, you have explained it very well thank you!
The mass of the sun = America's nation debt - 1
Oh yeah i forgot the universal exchange rate from mass to dollars is so large xD
tnkx a lot! now I know! u explained it well! good job!😁
I believe it makes it simpler for keeping track of significant figures in some cases.
in my language its known as potens. love how easy multiplication and division is if both are the same first number
dude THANK YOU SO MUCH
ur vids helped me realize im not stupid thank you so much!!!!
THANKS BRO! Now im sure ill get a good grade on my test. Thanks!
I didnt need to watch this because i already know scientific notation. I watched it because it being a veritasium video i knew it'd be awesome. And the intro so is!!
Im a 5th grader
and thats helps SOOO Much with math work in school THANKS =)
Wat
@@Scubuah are you speaking English?
Are you now a 10th grader? It has been 5 years
@@axf-22 he is in 11th grade now haha
wait, you learn scientific notation in 5th grade
Dude you're a good teacher
Awesome video, thanks
Wow I was boutta fail math but not anymore, this video is truly eye opening thnx 👁👄👁
now i learned a ton of this great video and after a decade i answer your challenge question
i asked how many protons would be in 1 kg
or how many (1.673 x 10 to the power of -27) are in 1kg
based on this equation ( 1 / 1.673 x 10 to the power of -27) = 5.977286312 x 10 to the power of 26
that is how many protons would be in each 1 kg of the sun so multiply that number by the sun's number of kilograms which's (2 x 10 to the power of 30)
and that equals (1.195457262 x 10 to the power of 57) protons
holly crap i may have just gotten this right!
hell yeah
You're wrong, try again, maybe come back in another decade.
A truly tiny number.
Electron: *no*.
I noticed the blackboard moves up as you write. Is that because you press harder when drawing upwords while writing all those zeros?
thank you, you r awesome! :)
Most meaningful and knowledgeable videos
I finally get it. Thank you.
Great vid this really helped me
Great video.
Good explaination ......
Finally a video veritasium video I can keep up with
Not as exciting as your standard videos, HOWEVER priceless when I am teaching Sci Notation.
this was one of his first videos.
So helpful! thanks
watching in 2023 big fan of your work muller.❤❤❤❤❤❤❤🎉🎉🎉
Does that also mean that 10^2 = Ten times itself 2 times? Which would be 10x10(first time)x10(second time)?
2:29 his arm tho
Thanks that helped!!
amazing amazing explanation :)
ur so help ful dude, booyah
thank you sir.....now i am not having any confusion......i wish that you may make video like this only...which would be helpful for the students like me
Helped a lot
Thanks well explained!
Good explanation, thanks!
Lol I just watched the video because I thought that in 5 minutes of such a known and simple subject there was something bit more complicated behind scientific notation that I didn't know lol, but nah you just took your time explaining :P.
I don't know why I watch this even though I already know it (but i understand that not everyone learned it), it just feels good to watch it anyway, maybe it just makes me feel smart.
I saw ur story on fb and came to this video and its strangely like a time travel 😧
@1veritasium I think the reason they prefer one number in front of the decimal place is because they used to do all their calculations on slide rules which had to have one digit in front of the decimal place to work.
Veritasium I want you as my science teacher next year
Get on that
The Fox Laboratory is he yet?
AllGamesConsidered nope I got some random shitty teacher
Is he yet?
Excelente!!
Will there ever be Spanish Closed Caption? I see people have already worked on a translation.
Well Manuel, I'm afraid I have some bad news for you here...
you explain this much better than math antics
hmm, i was always bad at math, this may sound dumb of me,
but do you divide the mass of the sun with the mass of a proton?
Helped!
how many possible combinations are there with a rubick's cube?
@1veritasium Idk, I would find it pretty unsightly when doing mole conversion calculations in chemistry. Science just prefers systematic methodology/convention (i.e. conventional current).
Thx for the help! :) Every time we do Star Math, it always asks me stuff i don't even know like notations with 20 0s (it's frustrating and confusing, so I guess). My teacher told me my math grade level is 9th grade and I'm in 6th grade.
Thx bro helped a lot
1.20x10^57 protons (3 significant figures)
3:15 mass of the proton? "mass" ? Isn't it weight? I expected "mol" at the end of the number.
It looks like a video about significant figures may be called for :)
thanks man it helped alot
i got a good grade on my exam hanks man
탄기운 Tv ikr its helpfull
BRO thnaks for the video saved mi day
I've been in school for 11 years and have never been taught or even heard of the word scientific notation till now
Damn, that school must suck!
The internet is your friend. There's such a vast wealth of knowledge held within this revolutionary plane that you can master any and everything education has to offer.
The masses of subatomic particles are usually given in eV, electron volts, or u, atomic mass units, which are the energy exchanged by moving an electron trough a one volt potential, 1.60 × 10e-19 j or 1.78 × 10e-36 kg, and one twelfth the mass of a carbon twelve atom,1.49×10e-10 j or 1.78 × 10e-36 kg. In these values a proton has a mass of approximately 1 u or 1 GeV. The mass of the sun is measured in mass of the earth or in mass of the sun that is 3.32 ×10e5 Earth Masses or 1 Solar Mass.
@radiculousraneem It is 1/10 as in ONE divided by TEN, which is equal to 0.1.
Also, Derek, could we have more math on here. I find it really interesting as I am studying Civil and Construction Engineering, and have interest in all disciplines of physics also.
Came here from 2023, just to tell you
You are a true legend
thanks sir for explaining this
thank you sir! you saved my butt
*So completely adorable!*
Will you do a video to commemorate mole day? AKA 10/23?
thanks that helped my son a lot
I wish my homework was this simple...
intriguing. I understand this, but I've always had trouble wrapping my head around a number when I get one from a calculator. my brain handles it better if I can see the actual number, not short-hand.
Nice 👌
Nice video
what about this notation 10E+10 or 10E-10?
@BAR2Q12 it's easier to have that 1 digit to the left of the decimal since your exponent will be just how many zeros you'll be needing.
When this video was made I wasn't even 1 years old, now I'm watching to help me for my math exam
@Daniel Sultana I needed to check my scientific notation science hw once and while googling the answer the product also involved the letter 'e' I guess its a science for scientifit notation. But there is also a number thing call 'e' there are also i, and f
Back to the future Derek 🚗
Is that Sydney Uni?
Good!