Significant figures | Decimals | Pre-Algebra | Khan Academy

[@plasticspoon4275]

You explained it better in 5 mins than my teacher did in one hour.....

[@jiongs]

Ha

[@yeabsirabelete1544]

Totally correct!

[@algae4757]

Correct

[@nolanlembke9687]

On god

[@tabletopbop6982]

Fr same

[@jbracaj1744]

Someone: I'm here for Physics. Someone else: I'm here for Chemistry Me: *Confused* But I came here for Maths I thought this is only for maths...

[@rohanakrishna7582]

Same. I came her for math. I'm so confused

[@koolkitty3247]

sameee

[@squarehead6452]

Same idk why its for chem

[@micklethepickl]

Math IS related to science

[@emmaking6885]

Me: (here for chem)-laughs-

[@MaRTiiiNxD]

Anyone here for Chemistry? Lol

[@alyssasutherland2148]

yup

[@nafisanasher4170]

same

[@ChristianSmithDiamondminer1609]

i am!!!

[@bleedgreen01]

MaRTiiiNxD fact

[@dajour21]

yasss lmao

[@curryeater259]

In 5 minutes, you have managed to teach me what my teacher could not in 45 minutes.

[@nofaelanwaar5641]

😂

[@Shapeshifter-mw2ue]

How r u in 2022

[@BenitoEncarnacion]

Very helpful: I like how khan really knows how to explain things rather than just telling you "These are the rules and this is how it works" without asking "why". Khan is really good at the last question.

[@Kira__K]

Definitely, this video kinda breaks it down some more.

[@injelar.5324]

1:58 It clicked U saved my grades and my future Thank u

[@elibaerg7436]

Injela _ Duh well I wouldn't say your future cause this stuff is useless in the real world

[@Tx3]

Eli Baerg Career prerequisites maybe?

[@jacobkiefer3828]

We should abolish fig figs, I don’t see how this helps with any type of measurement

[@syedrizvi2687]

Khan Academy always explains perfectly! Hitting the subtleties of concepts just right

[@wawerungugi2869]

My boi always come with the hookups

[@ZombieTacticalStore]

WOW! The Kilometer part really helped me to see it. Thank you!

[@zanahtaha3148]

first khan academy video I don't understand. I've been watching these videos forever, and this is the first one I just don't get. I am confusion.

[@asfandyar9029]

Zanah Taha but i get it...

[@daddygota437]

bro this one explains it so well kzbin.info/www/bejne/mGSbmXmNq6qdras

[@syedajaveriaqazi838]

Brooooo same

[@TrainerMonaFit]

Simply and nicely explained. Really helped me out a lot and brought back my memory. Now it’s all so easy to me, thanks❤️❤️😍😍

[@CameronCope]

@DarkKiss92 The concept of significant figures is for recording the precision of measurements within calculations. Error can quickly compound (especially when multiplying) so its relevant to not imply that a calculation is more precise than the least precise measurement.

[@josephkingman9453]

im a 7th grader and I like math and would like to help my sister with her homework cause why not and thank you i know what significant figures is now, now its time to find out what scientific notation is.

[@axpence]

Sal, I love the shorter 5 minute videos. Concise and quick, to the point. thanks.

[@Ghost572]

Gotta love how this guy explains things straight to the point along with giving you reasons why you do certian things.

[@darshvara2087]

You are the best in all the subject 😃😃😃😃

[@v.h.h9140]

guess who is failing the chem test lololol jkjk khan academy is the plug

[@annaleciasamuels8353]

Thanks this helped me🙂. Am here for mathematics

[@sodakim3541]

I am here cause I have an exam tomorrow on Math :)) Thanks from the video :))

[@duck4234]

Wow this was SOO helpful! Thanks, Khan Academy!

[@NomadicWanderer11]

Please never take these videos down! I'm a college student and the only way I can learn is if someone teaches me one to one (reading the text book does next to nothing for me.)

[@xaiver3612]

i wonder how are you now

[@humble_roots]

Wow thank you, you actually explain why it is the way it is instead of sweeping it under the rug.

[@jimmyhaotran123]

Only include 0s that are between other digits other than 0, and 0s that are in the tail of the decimals. Any other zeros should not be included. Thats what i learned from this video :D

[@SEThatered]

@hooloovoo1st Apologise if my comment was not clear. I study architecture and i know, that "significant numbers" are a must for an architects. It is no use to measure wood in mm, because it get wet or dry, and because of that twists, bends shrinks or expands significantly. So the area of interest must be higher than order of mm, and that would be cm (or inch if imperial).

[@JorgeSantos-uw3gk]

Loved the video, you answered all my questions that all other sources didn't.

[@jamesjennings4900]

Clear as mud. After finishing Trig my last quarter this sounds like getting directions from a Hic fruit stand.

[@dudestedo]

wow thanks man i owe you one. I try to read these stuff on book but still don't get it but you help a lot thank you.!!!!

[@Aistyy]

What if you wanted to make clear that you measured to the nearest 100 in a measurement such as 37,000? Would there be any symbol that could be used above or after the 0 in the hundreds column?

[@garrettgengler7637]

I love how you explained the 'why'; thank you so much!

[@AldenRyno]

@MetalMonkeyStudios 37,000 does have 2 significant figures. With the absence of a decimal, you count from right to left, and the sig figs begin with the first non zero integer.

[@GeorgeKoolman]

@Alderslodge if im not mistaken 37000 is not a measurement 37000.0 is a measurement. Correct me if im wrong (lol im in the 10th grade i just got these things this year)

[@dalilarobledodebasabe191]

You are the clearest and the best. Thank you.

[@Kira__K]

Thank you for the video! This helped me understand better!

[@redwolfmaddox3986]

explained better than my college algebra professor

[@wack...4038]

Our teacher just gave this to us so we had to figuere out what we had to dp for homework thanks this video is very helpfull

[@alexandralang1088]

THANK YOU. IVE BEEN TAUGHT THIS FOR 2 YEARS AND NOW I GET IT.

[@lifewithbrittz8140]

Thanks man this help me a lot

[@someguy1688]

I’m not at all a chem god but my teacher told me for a zero to be significant, it has to be right of a significant number and right of the decimal Ex. 2.30 The 0 is significant because it’s right of a significant number and right of the decimal (it doesn’t have to be right next to the decimal) FOR IT TO BE SIGNIFICANT, IT HAS TO DO BOTH Tell me if this is wrong and don’t be too harsh XD only 15 :P

[@trustysuperbat6840]

Wow this tip is actually really helpful! This helped me understand sig figs better than the video and my teacher lol Thank you so much!

[@DiscordRacism2122]

now ur 19 :) and im 13

[@RonitSutar10]

Its awesome. Great to learn. Really a great inspiration SAL KHAN.

[@olidixon9487]

this was really helpful as I had a maths test the next day the ☺

[@harshdevmurari007]

Thank you so much hatss off to your teachings...

[@heyimme371]

This really helped!!! Thank you!!!

[@TheLegendaryOne01]

@ eirpcalc @eirpcalc thanks for explaining engineering notation for me. But to answer your question there is no way for somebody to know that the first zero is a significant figure without resorting to scientific notation or engineering notation. The reason for placing a number like 37000 in scientific notation is to make the number of Sig figs really clear without any doubt. So it would be hard to show a number like that to be three Sig figs instead of the conventional two.

[@filliaa3661]

I have a test in 3 hours and thats why im here, thank you Khan XD

[@livingmybetsylife]

Everyone: I came here for Chem or Physics Me: I came here on my own accord so I could know what significant figures are lol

[@MrBayan123]

In 5 mins, you have taught me more than my teachers in 1 year

[@CameronCope]

has anyone else noticed that if one simply take any number and write it in scientific notation then any 'leading' zeros naturally fall away? for example .0040400 in scientific notation is 4.0400 e-3 so one would have to deliberately remove the last two zeros or the zero between the 4's - implying that they are significant. there is really no need to memorize any rules about leading, trailing or sandwiched zeros, if one simply consider how the number would be written in scientific notation.

[@studywithfena5437]

Nice explanation i under stood thank u

[@IdrisExplores]

I understand quite. But my school gives sums like .,780 -2sf?

[@egg10121]

Neenga ingaya

[@tobi7995]

This is Better than my teacher

[@aaliyahuiras6272]

best math explanations 😊😊😊

[@shamanbob]

It really just comes down to accuracy in the instruments used to measure something. If I wanted to measure the size of my pencil, I could use a meterstick and I would be accurate to how ever many dashes that stick has-- let's say 1/10 of a meter, or in other words 0.1 meters. Or I could spend a lot of money and measure it down to the nanometers with some crazy ass microscope making my measurement hugely more accurate-- instead of 0.1 it's accurate to 0.000000001

[@shazaduh]

@kombatmaster7, yes that's correct, point after 370 makes it three sig figs otherwise without a point its two sig figs.

[@UltraMaXAtAXX]

@valdas0 In chemistry and physics, significant digits are used to maintain how precise a measurement is.

[@maiamaclean693]

Thank you very much, this helped a lot!

[@shakilmujeeb]

Really forgot this since my elementary education

[@awaansiddiqui8215]

Thank you for explaining ‘why’ !!

[@rito_amidst_abnegations]

finally this stuff got cleared! thnx man!

[@pine7367]

Thanks this was very helpful

[@freddy06122]

All of the digits are significant. When finding the significant figure, you do not include all the zeros before a number other than zero. Because that number starts with a number that is not zero, the significant figure starts with the one. The five is included because when finding the significant figure you include all numbers after where it starts, unless there are zeroes before the decimal point. (I have no clue if this is the mathematically correct way to say it, it is just my understanding)

[@originallakeisha3732]

Thank u very much this is 3 marks on maths paper,I shouldn't lose marks so easily

[@KingOfEden12]

I dont get it :(

[@kookie3976]

me neither 😔

[@DaveMichael-DM]

Its a bit different from the way my teacher taught it, but I guess this is reasonable🙂🙂

[@SupertrampStudios]

Super helpful!

[@WonkyOctopus]

beautiful. explained it perfectly!

[@hafcaf]

Yay! You are super awesome Salman Khan!

[@MoGaDeX]

I always have trouble with this... Thanks!

[@thesmiler119]

I'm ver happy that my test is not tomorrow, not any way near it and yeah I'm here!

[@maxwellnkandu7156]

Awesomely explained

[@eirpcalc]

If I'd measured the 37,000 to 3 significant figures, I could write it as 37.0 x 10 [to the third]. Can it be done without resorting to engineering notation, or scientific notation?

[@sara-zk7kr]

You should do upper and lower bounds

[@jeevieseverino3949]

Question. I do think there is a different significant figures if we are just using addition or subtraction operation. Is it actually?

[@uvthepineapple]

im using this in physics chem and maths

[@TheLegendaryOne01]

@eirpcalc If you measured something to 37,000 then you only have two sig figs there. The 3 and the 7 are the only sig figs but i guess the zero could count but it won't be a sig fig anymore. It would be considered the first digit of uncertainty. you should write it as 3.7x10^4 In scientific notation the digit has to be less than ten. And to answer your question, yes you could do it without scientific notation. you just did it with writing it as 37000

[@lukefasanello2130]

I've taken 3 chemistry classes and 2 physics classes, I've had to watch this video 5 times now

[@yessir6427]

:D

[@phoskins]

There is a problem with Khan's notation. On the last example, how would you write 37,000 where the measurement was precise to the ten unit? Many conventions call for putting a bar over the significant zero.

[@rilesbriles]

Thank YOU I finally understand now!

[@bking0704]

Nice now I know what I sometime did wrong during lab reports :P

[@bludecember1]

so if the number was 1000, the significant figures would be 1>

[@teamtheguywhoalmosthitbela6683]

Olivia Montoya thats 4 sig fig

[@harshraj3255]

Olivia Montoya yes

[@jimmyhaotran123]

: 5 dollars

[@timbat5324]

yes

[@nd685]

Yes. It's similar to the last e.g. (37,000) in the video

[@saitmetinyurdakul5092]

In the elementary school they don't tell you about decimal point. In the middle school they well there is this kind of notation but don't think too much about it. In high school they say well be careful about decimal points but when you put zero after that it's unimportant and when you come to university they say every number is important. What do you want us to do??? It is same in every country I'm sure about that. And not just that subject, every subject is taught like that. Like when you're young they say you can't subtract 3 from 1 but when you come to high school they say are you stupid 1-3 is equal to -2 orrrr think about square root( hint√-1) ....

[@AlexMin_]

I was trying to figure out how those 5 rules of significant figures worked for a few hours but failed. He explained better than my teacher even without explaining the rules, I don't need them anymore.

[@GaurangAgrawal0]

How many significant figures are in the following digits: 0 0.0 0.00 0.000 0.0000000000000... (till ∞) My teacher said that in all these cases, the number of significant figures would be 1 but I didn't know why. Can someone please explain this to me?

[@jewww_21]

2:41 have u ever had a dream? that...you- wa- have u?- ever..hadtt a dree-

[@EpicFaceLot]

What

[@GGCustomArt]

im having a very hard time understanding what 0.08965 is rounded off to two and to three sig figs. at first i thought it was 90 and 897 but apparently im wrong. doing homework on wileyplus. i was sure i was right but idk why it keeps saying im wrong. any feedback? i would appreciate it.

[@ExplainIttoMe_1]

Gabrielle Flores 0.08966 would be rounded to 0.090 with 2 significant digits and 0.0897 with 3 significant digits.

[@Omar-zn2qo]

very helpful and clear. But the last one you said "I would say its two".?? Is it not a fact?

[@bullsci602]

You could write it in scientific notation 3.70*10^4

[@ASHISHKUMAR-mm3cw]

🤪🤪🤪🤪🤪 *AMAZING* 🔥🔥🔥🔥🔥

[@mtado4933]

Better explained that a 30 minute video, congrats.

[@Itsme_16]

Me literally watching it one day before my maths exam. 🙂

[@varunnair2663]

In that case even 10 has only one sig fig as 10mm =1cm so if converted to cm it has only 1 sig fig.

[@myredditanecdotes]

Does a monetary symbol make the valid qualification for the zero to be significant?

[@DeathEaterLink]

I have a question. What if the number is 22000000, and measured to the nearest hundred? We won't put a period afterword, and if we don't do anything it is assumed to be 2 sigfigs.

[@MelanieStylinson]

it would be 2 sigfigs unless it had a period after it in which case it would have 8 sigfigs.

[@DeathEaterLink]

Melanie Stylinson ok, but my question was how would you show that it had 5 or 6 sigfigs?

[@MelanieStylinson]

***** your teacher wouldnt ask for 5 or 6 sigfigs with a number like that because it wouldn't work. However if you had a number like 3,689,458 and your teacher asked for 5 sigfigs you'd take off numbers and replace them with zeros until you get the number of sigfigs wanted. so the final answer would be 3,689,400 because the zeros at the end don't count. I hope I helped :)

[@MelanieStylinson]

THIS IS WHY I NEED SLEEP ***** SO SORRY HAHA

[@MelanieStylinson]

thank god for copy & paste

[@eirpcalc]

@TheLegendaryOne01 Engineering notation is similar to scientific notation except the exponent of 10 is always a multiple of 3. This is more straight-forward when converting to Kilo, milli, micro, nano, etc. Now, suppose I am using a meter capable of an accuracy of 1 part in 1000. I take 3 readings of my target variable and get 37100, 37000, and 36900. I want to report the average value is 37000. The first zero IS significant. Can I show that without resorting to scientific notation?

[@FlyingDutchman12201]

It is because the closed captions are generated to what KZbin hears rather than what is actually said.

[@finnsmith5214]

this is truly epic

[@yehs4875]

indeed

[@theweeknd2725]

I Bet there is something else about significant figures in engineering science, Im actually confused on how it even works right.. I asked my teacher and else but he explained and Im still experiencing different type of sig figures here.. Hes wrong? or there is just different type of significant figure system in engineering... I mean in the last example I understand more! Hopefully, it all goes ok.

[@m1lqv]

Lol even after 11 years .. I’m still watching this Y’all here for chem and stuff I’m here for math 💀

[@IshDat1KiD]

I love you. I finally understand this crap.

[@unconnectablevluetooth4324]

im watching this right now during my exam