Scientific Notation - Explained!
ฝัง
- เผยแพร่เมื่อ 1 ก.พ. 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👍
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...
Who is watching in 2024
Yeh. Here it's me. A legend 😎😅😂
Legends
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 TH-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.
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!
Brilliantly explained. Thanks a lot! This can be directly used as example for teaching confused kids the beauty of exponents.
@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
watching in 2023 big fan of your work muller.❤❤❤❤❤❤❤🎉🎉🎉
(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.
Mr. Muller, you truly have a thing for this...amazing explanation and GREAT humor😂. Keep it up!👏🏻👍🏻
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
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!
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
Love it! Home schooling a 9th grader and a mama needs some reminders. Thanks for making it fun!
This actually helped me understand this a lot better thanks.
in my language its known as potens. love how easy multiplication and division is if both are the same first number
Very amazing video as a pioneer video for a scientific youtube channel!
Wow! Thank you! You have made scientific notation easy for even the youth!
Great lesson Derek !! I loved that ❤🖒
Why couldn't you have been my teacher when I was learning this stuff in high school? lol
looking to start my own channel, interesting to see your development ! just here reviewing your old vids !
I believe it makes it simpler for keeping track of significant figures in some cases.
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
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!
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.
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.
This was a good video. THIS is what TH-cam should be about. Well done.
Thank u so very much for making this video i was needing that soooo much
A truly tiny number.
Electron: *no*.
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 :/
0:45. I just died with that level of cuteness. Sorry Dr.
Guilty as charged
THANKS BRO! Now im sure ill get a good grade on my test. Thanks!
Dude you're a good teacher
THANK YOU SO MUCH!!!!!! This helped me so much! yay!
tnkx a lot! now I know! u explained it well! good job!😁
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!!
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.
I finally get it. Thank you.
Finally a video veritasium video I can keep up with
dude THANK YOU SO MUCH
ur vids helped me realize im not stupid thank you so much!!!!
Wow I was boutta fail math but not anymore, this video is truly eye opening thnx 👁👄👁
Most meaningful and knowledgeable videos
@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.
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
@creektimothy my guess would be yes.
Awesome video, thanks
2:29 his arm tho
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.
thank you, you r awesome! :)
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.
Not as exciting as your standard videos, HOWEVER priceless when I am teaching Sci Notation.
this was one of his first videos.
Great vid this really helped me
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?
I saw ur story on fb and came to this video and its strangely like a time travel 😧
Great video.
amazing amazing explanation :)
you explain this much better than math antics
Good explaination ......
Came here from 2023, just to tell you
You are a true legend
It looks like a video about significant figures may be called for :)
ur so help ful dude, booyah
Excelente!!
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.
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.
*So completely adorable!*
When this video was made I wasn't even 1 years old, now I'm watching to help me for my math exam
"Ten to the power of four..."
(writes fourteen)
So. Damn. Often.
2^3 is not the same as 2 times 3. (Which is six) 2^3 really means 2 multiplied by itself 3 times. 2*2=4 4*2=8.
Timothy Brantley Yes, Yes you are right, however he has pointed out the confusion. In fact I have that as well that I forget a number or write a different number that shouldn't be the answer, just because my brain flipped between multiplication and exponential formulas.
Thanks well explained!
Good explanation, thanks!
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.
@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).
@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.
Thanks that helped!!
Helped a lot
that's where computers (and calculators) come in. On the paper/blackboard you can write the less accurate number for convenience, but store the more accurate one on a computer or in your calculator for when you want to use it. This way you have the best of both worlds: concise working and accurate results.
thanks sir for explaining this
I wish my homework was this simple...
thanks man it helped alot
i got a good grade on my exam hanks man
탄기운 Tv ikr its helpfull
1.20x10^57 protons (3 significant figures)
@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
1.195 x 10^57 protons if the sun was composed only of protons
when u search something up and think ur smart
@@harvingaming3203 He's just doing the math Derek asked him to do at the end of the episode. Using the figures given, the Sun has a mass of 2×10³⁰ kg, and a proton has a mass of 1.673×10⁻²⁷ kg, so if we want to know how many protons would have a mass equal to the Sun's, we just divide, and using the fundamental property of exponents, find that the sun has as much mass as (2×10³⁰ kg)/(1.673×10⁻²⁷ kg) = (2/1.673)×10³⁰⁻⁽⁻²⁷⁾ = (2/1.673)×10³⁰⁺²⁷ = (2/1.673)×10⁵⁷ protons. Finally, using a calculator or long division to divide 2 by 1.673, we get about 1.195, yielding the answer of 1.195×10⁵⁷ protons.
If Firaro had just looked up the answer, he would have found that the Sun only really contains 1.058×10⁵⁷ protons. The difference is mostly due to the fact that the Sun also contains a large number of neutrons (almost all of which are in the nuclei of helium and deuterium). So Firaro didn't search for the answer. He calculated it like the video asked and got the right answer.
I really struggle to get my head around this stuff but I feel this video has really helped.
2 x 10^30 kg / 1.673 x 10^-27 kg = 1.195 x 10^57 protons in the sun.
The sun isn't (only) made out of protons. Also Neurtons and electrons
שגיא קרמן True. I guess that's the number of protons and neutrons.
+שגיא קרמן It's hypothetical.
the sun is just not protons.
+agent475816 Problem is there are different elements with different numbers of neutrons, protons and electrons. Only way to somewhat accurately figure it out is to know the % of each element in the sun. Best way hypothetically is to just say the entire mass of the sun is hydrogen, find out how many hydrogen atoms it takes to produce the suns mass and then multiply the mass of 1 proton by the number of atoms.
BRO thnaks for the video saved mi day
(2/1,673)*(10^30/10^(-27)) And if you have 10/(1/10) you just multiply 10 by the reciprocal value of (1/10) Wich is 10. So you can just add 30 to 27 so you have: (2/1,673)*10^57 Wich is roughly 1,1955*10^57 [Protons]
1.19 × 10^57
Helped!
That last question is similar to how Archimedes formulated his own scientific notation.
Who knew this guy would turn out to be our very own VERITASIUM
Becuase Kilograms is an Unit in the International systematic system. Called the SI units, designed to be usefull in most formula's without all kinds of constants with factors of 1000, 10 or something.
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?
3:05 First time I've seen someone writing zeros that fast
Double speed
It was sped up.
Were working on scientific notation in my math class
Well, actually 3, in 10^3, would be the power and 10 would be the base. So "ten to the power of three" would be correct, and I also believe that other two ways you have stated are correct too.
Fine explenation and all.. But I'm still waiting for the moment where you are going to explain why it also is used to round down answers or any number given at all, to the point with an appropriate marge.
Good!
Thx bro helped a lot
it's called shorthand in the UK.
Nice 👌
the sun has 11950000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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Protons, Am I right?
chill
chill
+JBV 3737 chill
Really? that many o's
Wrong. It has (1.195 x (10^57) ) protons. Which means is has 1195 followed by 54 zeros number of protons.