In science, we often have to deal with some

very large numbers. For example, the mass of the sun. That is the mass of the sun. Two followed

by thirty zeros in units of kilograms. That is two thousand billion billion billion kilograms.

There has got to be a better way to write that. Can you imagine if there wasn’t? And

so we find that the mass of the sun is two zero zero zero zero zero zero zero zero zero.

Yes? Sorry could you repeat that? I was with you up to two zero zero zero zero zero? Ahh?

It was ahh… two zero zero. So to represent large numbers easily, we use something called

scientific notation. Scientific notation takes advantage of powers of ten. For example, ten

to the power of two means take two tens and multiply them together. And you get 100. Ten

to the power of three means multiply three tens together. And you get 1000. Ten to the

power of four means take four tens and multiply them together. And you get 10,000. So you

should notice a pattern developing. When it’s ten to the power of two, our final answer

has a one followed by two zeros. Ten to the power of three, our final answer has a one

followed by three zeros. Ten to the power of four, again, four zeros. So if we wanted

to represent the mass of the sun in scientific notation, we would need thirty zeros. So we

represent that using ten to the power of thirty. This means that we’re multiplying ten by itself

thirty times, which gives us a one followed by thirty zeros. But the mass of the sun is

actually twice that. It’s two followed by thirty zeros so we can multiply two by ten

to the thirty in units of kilograms and that is the mass of the sun. It’s much easier to

write and it takes up much less space on the page. The other problem is we have to deal

with some tiny numbers. For example the mass of a proton is… That is the mass of a proton. Zero point,

and there there are 26 zeros, and then 1673 kilograms. A truly tiny number so how do we

deal with this? Well again it’s using a similar trick. If we raise ten to the power of minus

one, it means divide by ten, not multiply by ten. So this means divide by ten which

gives you zero point one. Ten to the power of minus two means divide by ten twice, which

gives us zero point zero one, a hundredth. Ten to the power of minus three means divide

by ten three times, or zero point zero zero one. So again you see a pattern developing.

The exponent here tells you how many places to the right of the decimal that the one is.

So in this case, ten to the minus two, the one is two places to the right of the decimal.

Here, ten to the minus three, the one is three places to the right of the decimal. So in

this case I actually have a one that is 27 places to the right of the decimal. So I can

write the mass of a proton as 1.673 times ten to the minus 27 kilograms. And this ten

to the minus 27 has the function of putting this number, 1.673, 27 decimal places to the

right of the decimal point. So as a challenge question to see if you’ve understood it: if

the sun were made entirely of protons, how many protons would there be in the sun?

That's 7th grade math 😂

1.1954572624 x 10^57

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.

You could say the mass of the sun is 2 nonillion, however.

when dr derek is still young and hot af 😀

1.195457262402869097429766885833831440526001195457262402869 * 10^57

There, it is very efficient

3:05 First time I've seen someone writing zeros that fast

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 :/

1.195*10^57….right

Love it! Home schooling a 9th grader and a mama needs some reminders. Thanks for making it fun!

1.195e57

1.195 x 10^57 protons…

when you consider that there are approximately 10^80

atomsin the *universe*, that's a noteworthy amount.1.195×10^57

and the answer to the challenge question is 1.196172 followed by 57 zeroes

(2*10^30)/(1.673*10^-27)=2:1.673*10^57=1.1954572624*10^57

Why did Derek give the mass of a proton to four significant figures but the mass of the Sun to only one?

So helpful! thanks

think about if the sun was made of just protons. the positive charge of the sun would be insane! it would attract every god damn electron on earth!

My first guess would be 9 but I'm gonna go with brown as my final answer.

why write it as 2 x 10 (power 30) why not 20 (power 30)?

why fuq u guys wanna soak up cums from our balls? make it easy bitch

1,195,457,300,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 protons in the sun, if the sun's mass was entirely protons.

This is cool and all and very nice but my physics teacher says that we always have to use this notation even if it isnt a big number, that sucks.

so it's 11954.572624, or am I missing something?

Thx bro helped a lot

11.957..×10^57

the powers dont capture the emotion though.

like look at the previous one 2 followed by 30 zeros and then look at 2×10^30 .

1.1954573*10^57

Number of protons in sun = 1195 x 10^60

I like you videos

Scientific notation is too small to describe huge number like G1 and Graham's number (G64).

This the answer the the problem 3.346×10powerof 30

BRO thnaks for the video saved mi day

1.195 x 10^57 protons

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!

wuss poppin jim🅱️o

yo hes kinda h0t

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?

He says that 10/10 is 0.1 but it is just one

I finally understand.

Thanks that help me very much

thnks bro

You're sooo hot

blushesHola

1.673 x10^57?

THANKS BRO! Now im sure ill get a good grade on my test. Thanks!

2:08 did he just write the 💯 emoji?

At some point in a person's life it will be 50 years since you learned this stuff in school. A fun refresher course is always great.

These videos should put the Unionized Public Sector "Teachers" out of business. Before they enslave our progeny to pay for their sedition.

Hi

Could you repeat that? I thought he was going to say the whole thing.

1.19×10^57

protons

forheads brighter than my future

For those who say they already knew this, why watch this video at all?

There is no way in the solar system that the mass of the sun is

precisely2 x 10^30 kilograms.Oh come on Derek I'm just 13, how am I going to count the challenge question without knowing how to calculate it??

SCIENTIFIC NOTATION:the scientific way to write large and small numbers is to express them in some power of ten

one and six hundred seventy three thousandths multiply by ten power of fifty seven

Great vid this really helped me

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!

1.195 * 10^(57)

1,19545 x 10^57

This actually helped me understand this a lot better thanks.

This homeschooling Mom thanks you!

Wow very well explained 😮thank you👍

Gadha

nicr

nice

thanks sir

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

The number of protons composing the sun would be 1.195457262403X10^57kg.

good

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.

It's a 1.25×10^57 protons

The easier way to explain the small number notation is to say it's exactly like the large number notation, only backwards.

1.195×10^57

You sir are adorable.

Thank u

~1,195*10^57 is the answer.

It's that time of the school year again! I so enjoy using this video to teach scientific notation to my 5th graders! THANKS! 🙂

Why do you use scientific notation just say the mass of the sun is 2 nonillion kilograms

thanks sir for explaining this

1.1976*10^57 protons

veritasium ur a god

Great lesson Derek !! I loved that ❤🖒

There would be: 1.195*10^57 protons in the sun

I can smell the chalk

Will there ever be Spanish Closed Caption? I see people have already worked on a translation.

It is maths (exponents and powers) it is used in science

The answer. P=Mass of a single Proton in units of Kilograms. P= 1.1673×10^-27 Kilogram or just 1 Divided by this small number is the # of Protons in a Kg of protons. In other words 1 over P or 1/P Equals the defintive # of actual Protons in a Kg. Multiply the inverse of P=(1/P) by the Mass of the Sun in Kg and the answer follows is if you could place the Sun on one side of a scale and this many 1.1954×10^57 Protons on the other then you would have a balance.

This is basic maths. Its like studying primary 5 and 6 maths.

1.195×10^27 protons…

skit funny

It is quite interesting (Some would say saddening) to see how my attention span has been modified (Some would say damaged) by culture and media here in 2019. I remember a time when I was nailed to the screen watching a cdk007 production, which was essentially a powerpoint presentation in video form. I just decided to go back and take a look at these very early videos of Derek's/Veritasium. And they are SOOO slow. The editing is off. They take forever to get to the point. Dammit. I know the videos are not to blame. I am. I want my old self back, who was less in a hurry, and had time to just sit back, and let the content flow at a lazy rate. Drinking coffee. Not worrying so much about time…

MY MATH TEACHER JUST TEACHED THIS TO US AND SHOWED THiS VID AND mE AT SCHOOL WAS LIKE

ME: VERITASIUM!!!! I KNOW THAT GUY

THANK YOU SO MUCH!!!!!! This helped me so much! yay!

شكرا جزيلا

my pee pee hARD

Hi isabelle

Hi nourhan

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