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Upper & Lower Bounds | Number | Maths | FuseSchool 

FuseSchool - Global Education
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Upper & Lower Bounds | Number | Maths | FuseSchool
In this video we discover what bounds. All measurements are approximate. Measurements are given to the nearest practical unit, like a cm or mm or gram. There is then a group of numbers that the original measurement is somewhere between. This is the limits of accuracy. There is a largest possible number called the upper bound. And a lowest possible number called the lower bound. Some people find it very easy to just visualise what the bounds of a measurement are. But there is also a simple method we can use: half the degree of accuracy, and then add or subtract this from the rounded value to get the upper and lower bounds. The degree of accuracy could be a measurement rounded to a nearest unit, or a number round to a certain amount of decimal places or rounded to significant figures. In part 2 we will look at how to calculate with bounds.
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16 апр 2017

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Комментарии : 198   
@toastandjam6187
@toastandjam6187 2 года назад
im literally crying while watching this, i refuse to get humiliated by my teacher again for asking a question
@awegcwxgfd6953
@awegcwxgfd6953 2 года назад
I'm so sorry that you had to go through that💕
@lekomin5484
@lekomin5484 2 года назад
I mean if you are in year 13 and doing your A levels. i understand the teacher
@m9yuh
@m9yuh 2 года назад
i legit cried my eyes out in the school bathrooms because my teacher asked me a question on this topic and i kept stumbling on my words, everyone side eyed me for the rest of the lesson. it was so mf bad :(
@campalovesjesus5705
@campalovesjesus5705 2 года назад
I'm sorry
@dinodoestuff
@dinodoestuff 2 года назад
Cant relate
@hangbuiminh3772
@hangbuiminh3772 5 лет назад
I understand it. OMG i will have a final exam tomorrow. Thank you so muchhhhhhh❤❤❤❤❤
@aiaaim9429
@aiaaim9429 3 года назад
Same girl, good luck
@Bronzeg_15
@Bronzeg_15 3 года назад
@@aiaaim9429 bruh this comment is like two years ago 🤣your too late for a "good luck" bruh 😂🤦
@mentallysic
@mentallysic 3 года назад
mine is today
@burnicelxy
@burnicelxy 3 года назад
@@mentallysic mine is tmr
@shapimf
@shapimf 3 года назад
@@aiaaim9429 dawg 😭
@manyewes
@manyewes 3 года назад
why did she make this soo easy
@rehya5088
@rehya5088 4 года назад
Thanks, I had a question like 2:59 and this video really helped with my homework. Thanks FuseSchool - Global Education, I found this straightforward, useful and fun! (a quick tip would be you went a little bit slower)
@itsN31L
@itsN31L 3 года назад
Thank you so much. My IGCSE is next year and I'm tryna revise for it. Keep up with the good work.
@fuseschool
@fuseschool 3 года назад
Thank! Best of luck with your IGCSEs!
@noodlepoodle287
@noodlepoodle287 2 года назад
Me too!
@YG-qy7qn
@YG-qy7qn 5 лет назад
Perfect. It all makes sense at 2:11 seconds
@edenshaven77
@edenshaven77 4 года назад
this was really simplified thanks:)
@ladykoko2755
@ladykoko2755 4 года назад
Thank you so much, I finally understand it
@fuseschool
@fuseschool 4 года назад
Great!
@toluwalopeabegunde4990
@toluwalopeabegunde4990 3 года назад
it works,wow lemme watch it
@AR-en8qb
@AR-en8qb 5 лет назад
thank you. you are a life saver
@Jay-kz4td
@Jay-kz4td 4 года назад
This was a life saver! Thanks so much!
@fuseschool
@fuseschool 4 года назад
Glad it helped!
@undlefind2021
@undlefind2021 3 года назад
What a helpful video! Thank you! 😁
@fuseschool
@fuseschool 3 года назад
Glad it was helpful! 😃
@Sultan-vz6gp
@Sultan-vz6gp 3 года назад
It was really easy to understand....thanks a lot.
@jansiyaraja5723
@jansiyaraja5723 5 лет назад
you are an amazing teacher
@noodlepoodle287
@noodlepoodle287 2 года назад
Tysm your video is the only one I understood
@ayezashakeel436
@ayezashakeel436 3 года назад
This video is so helpful I just couldn't understand upper and lower bound but this video does the magic. Thank you
@fuseschool
@fuseschool 3 года назад
Wonderful! Glad the video was helpful!
@rashane4328
@rashane4328 5 лет назад
Thanks for the quick and understandable​ explanation!!
@fuseschool
@fuseschool 4 года назад
No worries!
@odalvaas1443
@odalvaas1443 4 года назад
Thank you! This video was super helpful(:!
@fuseschool
@fuseschool 4 года назад
Glad it was helpful!
@aishanaim7517
@aishanaim7517 3 года назад
I understood the topic, very well explained. 👍 Thank you for explaining.
@aishanaim7517
@aishanaim7517 3 года назад
I subscribed to your channel
@fuseschool
@fuseschool 3 года назад
Great! Glad to hear that 🙂
@franbonfan
@franbonfan 4 года назад
Thank you so much for this video. I have a few questions, if you don't mind. 1. How can I know what the limits of accuracy is? I mean, how can I half that number if I don't know what that number is or how to get it. 2. I don't get how to figure out the significant digits and the decimal places transformation. I made mistakes in the exercises because of that. For example, I got that the lower bound to 8.762 rounded to 3 decimal places was 8.76195 because I assumed that the exact number would have to have 4 decimal places, which might mean that the limits of accuracy would be 0.0001 which I have to half and gives 0.00005. 3. I searched for lower and upper bound and got to your video because I'm working on linguistic materials where the author referred to these terms. How can we apply these notions to more abstract elements? Maybe you can recommend some handbook or the like meant for dummies or something. Thank you in advance for the light you can shed on my confusion.
@daniellgrace8670
@daniellgrace8670 4 года назад
thankyou .. explained claerly
@naomitiyan7438
@naomitiyan7438 4 года назад
Thank you so much you guys are a life saver i understood very quickly
@fuseschool
@fuseschool 4 года назад
Happy to help!
@isratzn
@isratzn 5 лет назад
Ohhh I kinda get it now thanks!
@raphaeathar7354
@raphaeathar7354 4 года назад
Thank you for explaining this really nicely and now this concept is clear to me
@fuseschool
@fuseschool 4 года назад
Glad it was helpful!
@dina7danish
@dina7danish 3 года назад
Thank you for this video!!😭 It helps me a lot
@fuseschool
@fuseschool 3 года назад
You're so welcome! Glad it helped!
@venuraweeramanthree812
@venuraweeramanthree812 3 года назад
Thank you sooo much .. I learned new things whoch weren't leant in the school .. help ful and subscribed.. thank you.
@fuseschool
@fuseschool 3 года назад
Amazing! So glad to hear that!
@aries3961
@aries3961 3 года назад
thank you so much, i was trying to understand this topic
@fuseschool
@fuseschool 3 года назад
You are most welcome!
@khalidakanwal2054
@khalidakanwal2054 3 года назад
Omg thankyou u were so helpfulll omggg i cant help thank you enough
@fuseschool
@fuseschool 3 года назад
No problem!! Glad it helped!
@sijiekang9881
@sijiekang9881 5 лет назад
Really helpful
@m.khizer592
@m.khizer592 4 года назад
thanks well taught
@kazishahjalal6852
@kazishahjalal6852 3 года назад
Wow, this is the easiest way. Thank you very much.
@fuseschool
@fuseschool 3 года назад
You're very welcome! 😊
@btssomaliarmy4ever722
@btssomaliarmy4ever722 4 года назад
Waaw thank u teacher 💜😄 It was helpful really
@fuseschool
@fuseschool 4 года назад
You're welcome 😊
@amrfawzi7530
@amrfawzi7530 3 года назад
Great video. Subscribed immediately. And clicked the bell icon.
@fuseschool
@fuseschool 3 года назад
Awesome, thank you!
@KhalidGujjar173635
@KhalidGujjar173635 3 года назад
Amazing
@ZS03
@ZS03 5 лет назад
Awesome 😎
@josephlau13d77
@josephlau13d77 4 года назад
Hilbert space is an extension of the ordinary two-dimensional Euclidean space and can be extended to infinite dimensions. Hilbert space contains a complex inner product having closed properties, relating to wavefunctions of particles. Superstring, bosonic and heterotic string theory, a possible GUT describes the Universe as a Hilbert space. If K is a closed convex subset of a Hilbert space, define a projection Pk of a vector (v is an element of V) onto k by an arg min equivalence statement - might include Cauchy sequences and complex numbers. An orthonormal Hilbert space is important as a complete vector space. Multiplication has both associate and distributive properties. P-adic ergodicity...
@weirdpotato7462
@weirdpotato7462 4 года назад
Thank you so much❤️
@fuseschool
@fuseschool 4 года назад
No problem!
@nselva0612
@nselva0612 3 года назад
Thank you so much you are helping me with maths🤗🤗🤗
@fuseschool
@fuseschool 3 года назад
You are so welcome! Always happy to help!
@faiaazzz
@faiaazzz 3 года назад
thank you! helped alot!!!
@fuseschool
@fuseschool 3 года назад
Awesome! Glad it helped!
@lutfiahdewi2270
@lutfiahdewi2270 3 года назад
is this rule also applied to find Upper & Lower Class Boundaries in grouped data?
@tembusolomon6186
@tembusolomon6186 4 года назад
She's so pleasant. I keep rewatching the video, not to learn anything but just to watch her speak. And let me say that numbers like 10, 100, 1000 etc do not follow this rule. Cheers!
@sami5909
@sami5909 3 года назад
im 11 and ur creepy af
@d_16745
@d_16745 2 года назад
@@sami5909 true very creepy
@btstan3593
@btstan3593 4 года назад
Thank you , u helped a lot!!
@fuseschool
@fuseschool 4 года назад
Glad we could help!
@m.c.5884
@m.c.5884 3 года назад
Omggg hi army 💜💜💜
@sherlxck-221b9
@sherlxck-221b9 4 года назад
Oh this is easy. 👍🏼 Good job
@fuseschool
@fuseschool 4 года назад
Thank you! 😊
@mathematicswithusman1643
@mathematicswithusman1643 4 года назад
Very well paced and wonderfully delivered, which software you are using for editing??
@fuseschool
@fuseschool 4 года назад
Thanks! We use After Effects.
@tayanaliss9713
@tayanaliss9713 5 лет назад
thanks I understood!
@fuseschool
@fuseschool 4 года назад
Great!
@arjanhalder1490
@arjanhalder1490 3 года назад
the only video on youtube which taught me maths in 4.31 minutes
@fuseschool
@fuseschool 3 года назад
😃🙌💜
@tenkhosidlamini5281
@tenkhosidlamini5281 3 года назад
Thank you!!
@fuseschool
@fuseschool 3 года назад
You're welcome!
@sikandarzaheer1349
@sikandarzaheer1349 2 года назад
me literally watching this one night before my exam
@alimajid4288
@alimajid4288 3 года назад
THis helped me fr tyyy
@fuseschool
@fuseschool 3 года назад
Great! Glad it helped!
@aasthathakker8246
@aasthathakker8246 4 года назад
How did you calculate the degree of accuracy?
@hamza8895
@hamza8895 4 года назад
Nice video
@fuseschool
@fuseschool 4 года назад
Thanks!
@bell5081
@bell5081 4 года назад
thanks for the help
@fuseschool
@fuseschool 4 года назад
Any time!
@paintmyday_Official
@paintmyday_Official 3 года назад
Can u plz deliver a lecture on absolute zero
@prettymugisa
@prettymugisa 2 года назад
thank you so much
@fuseschool
@fuseschool 2 года назад
You're welcome!
@channelle7786
@channelle7786 3 года назад
Can you help with this question please - Jess rounds a number x to one decimal place.The result is 9.8 write down the error interval for x
@morganstewart6620
@morganstewart6620 5 лет назад
Cheers for confusing it
@tembusolomon6186
@tembusolomon6186 4 года назад
Nicely explained.
@fuseschool
@fuseschool 4 года назад
Thank you 🙂
@cu3864
@cu3864 5 лет назад
helped alot, thanks. just try to be more natural with your movements...
@Aditya-hy7up
@Aditya-hy7up 4 года назад
really worth it ... understood everything..
@fuseschool
@fuseschool 4 года назад
Awesome!
@yousufabrar3031
@yousufabrar3031 5 лет назад
what to do if the question says find upper bound of 80 cm which is in 1 s.f
@hiiamahuman2426
@hiiamahuman2426 5 лет назад
But if the upper bound of the first example that you gave is 7.5, then it will be 8 if you round that up, so how will the answer be 7?
@aishakhalid1626
@aishakhalid1626 2 года назад
It is stated that it is close to 7.5 e.g.7.499999..... Its not exactly 7.5
@aditiboodhoo8387
@aditiboodhoo8387 5 лет назад
👌
@stewartsmith1464
@stewartsmith1464 6 лет назад
I don't understand.
@fuseschool
@fuseschool 6 лет назад
Do you have a question you want us to help you with in particular?
@btssomaliarmy4ever722
@btssomaliarmy4ever722 4 года назад
But i think she was explaining as a understandable way 🤗
@alighazy5744
@alighazy5744 4 года назад
oh, it's easy, a lower bound is the lowest number that can be rounded up to a particular number, and an upper bound is the highest number that can be rounded to a particular number, which is (whatever the number is).9999999 which will be said as .5 and not .99999. for instance, let's take the number 6. the lower bound of 6 is 5.5 because it is the lowest number that can be rounded up to 6. and its upper bound is 6.5, which to be precise is 6.499999999999999999 etc. Do you understand now?
@NoahMine1
@NoahMine1 4 года назад
Stewart Smith ur dumb watch it again
@josephlau13d77
@josephlau13d77 4 года назад
@@fuseschool Hilbert space is an extension of the ordinary two-dimensional Euclidean space and can be extended to infinite dimensions. Hilbert space contains a complex inner product having closed properties, relating to wavefunctions of particles. Superstring, bosonic and heterotic string theory, a possible GUT describes the Universe as a Hilbert space. If K is a closed convex subset of a Hilbert space, define a projection Pk of a vector (v is an element of V) onto k by an arg min equivalence statement - might include Cauchy sequences and complex numbers. An orthonormal Hilbert space is important as a complete vector space. Multiplication has both associate and distributive properties. P-adic ergodicity...Hilbert space is an e
@euiinshin7694
@euiinshin7694 4 года назад
I get ittttt
@nursofeanurhisham
@nursofeanurhisham 6 лет назад
why is everyone saying they dont get it??? thisis the only video on this topic that i understood??
@isratzn
@isratzn 5 лет назад
Does knowing the sig fig change anything? Cuz it gives the same answer
@JJ-iu9bf
@JJ-iu9bf 3 года назад
I dont understand the significant figures part can u pls explain
@hycgestene97
@hycgestene97 4 года назад
2:10 im dumb , how do you get the 0.5 ? where did it come from ?
@fuseschool
@fuseschool 4 года назад
0.5 indicates "half". The degree of accuracy is 1kg, so half the degree of accuracy (i.e. 0.5 of 1kg) is 0.5kg
@user-yg6kd2qp3e
@user-yg6kd2qp3e 2 года назад
Wait so if the question has for example 2.4m nearest 10cm i dont need to convert the unit?
@hammadabdullah7373
@hammadabdullah7373 3 года назад
I have a exam tomorrow thank you
@fuseschool
@fuseschool 3 года назад
Best of luck 🙌
@jovanchoi9718
@jovanchoi9718 3 года назад
at 3:34, where did you get 0.5 imes 0.1=0.05 from? I dont really understand the ones about siginficant figures
@fuseschool
@fuseschool 3 года назад
This video explains significant figures, check it out: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-5sGaUXJW3Rc.html
@the21podcast
@the21podcast 3 года назад
thanks yoo
@fuseschool
@fuseschool 3 года назад
No problem!
@mirajuddin6874
@mirajuddin6874 4 года назад
Thnx a lot Although I didn't understand the reason but I'm able to do the maths
@fuseschool
@fuseschool 4 года назад
Cool!
@user-od7it1qq9b
@user-od7it1qq9b 4 года назад
bruh if you dont understand u dont rlly know xd
@Bronzeg_15
@Bronzeg_15 3 года назад
Wait hold up huh !!
@NoelSebastian-S
@NoelSebastian-S 3 года назад
is the degree of accuracy always 1kg in 2:20?
@fuseschool
@fuseschool 3 года назад
It is because the degree of accuracy was set in 0:35, where the narrator says "to the nearest kg". Hence, 1kg is used as a degree of accuracy to find lower and upper bounds in that example.
@bibame97
@bibame97 3 года назад
thnksss
@fuseschool
@fuseschool 3 года назад
Welcome!
@user-ox8qs9jx6j
@user-ox8qs9jx6j 3 года назад
How can i find the degree of accuracy?
@seharamer8640
@seharamer8640 3 года назад
Heres a Q I don't understand : So 2 angles in a 3 dimensional plane are 162° and 46°...... We have to find the lower bound of the third angle in this plane..?
@tranhoangminh5262
@tranhoangminh5262 4 года назад
why does 9.58's upperbound is 9.585? isn't 9.585 rounded to 9.59 (2dp) instead?
@Jjfds.Vcfghxssdbfrtgdx
@Jjfds.Vcfghxssdbfrtgdx 4 года назад
Thank you so much. It really helps me
@fuseschool
@fuseschool 4 года назад
Thank you!
@ismaelkhaled8224
@ismaelkhaled8224 5 лет назад
Me to
@ronisutradhar9517
@ronisutradhar9517 4 года назад
Thanks madam... from Kolkata...
@charlottehogan949
@charlottehogan949 3 года назад
What is the degree of accuracy? Is that how much the measurement is going up by?
@fuseschool
@fuseschool 3 года назад
It's the measurement of how close a stated value is to the actual value being described.
@pluto_1626
@pluto_1626 2 года назад
everyone seems to find this really easy but for some reason I don't://
@vanesab4089
@vanesab4089 3 года назад
I don’t understand what is 3 significant figures and why is 0,1?
@aqsaayyoub8409
@aqsaayyoub8409 3 года назад
can you start a series to solve problems/Questions end of each topic .because i have a lot of problem when i try to solve problems related to the topic .text book Mathemathics core & extended for cambridge IGCSE (0580) by Ian Bettison Mathew Taylor
@fuseschool
@fuseschool 3 года назад
Great suggestion! We will consider 🙂
@aqsaayyoub8409
@aqsaayyoub8409 3 года назад
@@fuseschool Thanks
@thanosthegreat9666
@thanosthegreat9666 3 года назад
Im so confused how is 3 sf 0.1 i dont get it okay then if they say 2 sf that means its 0.01? And if they say 1 sf its 0.001 okay what about 5 sf? 1? And if they ask corrcet to one decimal place its 0.1/2 it = 0.05???
@fuseschool
@fuseschool 3 года назад
Hi there! You may be confusing significant figures and decimal places, which are different. So in the first example at 3:09 we spoke about 2 decimal places, which is 0.01 (2 numbers after the point). But at 3:41, 72.8 was the number that was rounded to 3 significant figures (not decimal places! So three numbers in total: 7, 2 and 8) and because there was only one number after the point, we can say that the degree of accuracy was 0.1, which is 1 decimal place.
@thanosthegreat9666
@thanosthegreat9666 3 года назад
@@fuseschool Oh! Okay tyysm ❤️ i get it now 🙌
@fuseschool
@fuseschool 3 года назад
Awesome 🙌
@bhayyhamlal1417
@bhayyhamlal1417 3 года назад
how am i supposed to concentrate?
@mineprofessional1642
@mineprofessional1642 5 лет назад
Same here...un able to understand.
@arsiadourian8661
@arsiadourian8661 3 года назад
isn’t 7.5 going to be rounded up to 8?
@fuseschool
@fuseschool 3 года назад
You are right, but check out Lucy's explanation of it from 1:16 🙂
@stinkystinkystinker
@stinkystinkystinker 4 года назад
Hi
@fatimagabol4447
@fatimagabol4447 3 года назад
i have a question
@reijilimbu6163
@reijilimbu6163 3 года назад
3 significant figure of 1 I was expecting 0.001 but it’s 0.1 how’s it.
@fuseschool
@fuseschool 3 года назад
Hi there! You may be confusing significant figures and decimal places, which are different. So in the first example at 3:09 we spoke about 2 decimal places, which is 0.01 (2 numbers after the point). But at 3:41, 72.8 was the number that was rounded to 3 significant figures (not decimal places! So three numbers in total: 7, 2 and 8) and because there was only one number after the point, we can say that the degree of accuracy was 0.1, which is 1 decimal place.
@xno_capp1274
@xno_capp1274 5 лет назад
OMG!!!! you smile tooo much
@hassank8140
@hassank8140 4 года назад
same what is this
@jovanchoi9718
@jovanchoi9718 3 года назад
*times
@harxsh09
@harxsh09 2 года назад
Are you Britisher. Your voice is so similar to Millie bobby brown
@agent47cr7batmanmadridista2
@agent47cr7batmanmadridista2 3 года назад
I don't understand what is significant figures
@fuseschool
@fuseschool 3 года назад
Watch this video, it explains it: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-5sGaUXJW3Rc.html
@tushargaming7971
@tushargaming7971 4 года назад
I don't understand it is difficult
@vivaan_shah7833
@vivaan_shah7833 2 года назад
Lolol
@jackierusso182
@jackierusso182 5 лет назад
This has nothing to do with actual bounds. This is just rounding.
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