Upper & Lower Bounds | Number | Maths | FuseSchool

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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[@toastandjam6187]

im literally crying while watching this, i refuse to get humiliated by my teacher again for asking a question

[@awegcwxgfd6953]

I'm so sorry that you had to go through that💕

[@lekomin5484]

I mean if you are in year 13 and doing your A levels. i understand the teacher

[@m9yuh]

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]

I'm sorry

[@dinodoestuff]

Cant relate

[@hangbuiminh3772]

I understand it. OMG i will have a final exam tomorrow. Thank you so muchhhhhhh❤❤❤❤❤

[@aiaaim9429]

Same girl, good luck

[@Bronzeg_15]

@@aiaaim9429 bruh this comment is like two years ago 🤣your too late for a "good luck" bruh 😂🤦

[@totallyklutz]

mine is today

[@burnicelxy]

@@totallyklutz mine is tmr

[@shapimf]

@@aiaaim9429 dawg 😭

[@itsN31L]

Thank you so much. My IGCSE is next year and I'm tryna revise for it. Keep up with the good work.

[@fuseschool]

Thank! Best of luck with your IGCSEs!

[@noodlepoodle287]

Me too!

[@rehya5088]

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)

[@manyewes]

why did she make this soo easy

[@ladykoko2755]

Thank you so much, I finally understand it

[@fuseschool]

Great!

[@toluwalopeabegunde4990]

it works,wow lemme watch it

[@franbonfan]

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.

[@YG-qy7qn]

Perfect. It all makes sense at 2:11 seconds

[@edenshaven77]

this was really simplified thanks:)

[@aishanaim7517]

I understood the topic, very well explained. 👍 Thank you for explaining.

[@aishanaim7517]

I subscribed to your channel

[@fuseschool]

Great! Glad to hear that 🙂

[@undlefind2021]

What a helpful video! Thank you! 😁

[@fuseschool]

Glad it was helpful! 😃

[@raphaeathar7354]

Thank you for explaining this really nicely and now this concept is clear to me

[@fuseschool]

Glad it was helpful!

[@tembusolomon6186]

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]

im 11 and ur creepy af

[@d_16745]

@@sami5909 true very creepy

[@aasthathakker8246]

How did you calculate the degree of accuracy?

[@Jay-kz4td]

This was a life saver! Thanks so much!

[@fuseschool]

Glad it helped!

[@naomitiyan7438]

Thank you so much you guys are a life saver i understood very quickly

[@fuseschool]

Happy to help!

[@noodlepoodle287]

Tysm your video is the only one I understood

[@arjanhalder1490]

the only video on youtube which taught me maths in 4.31 minutes

[@fuseschool]

😃🙌💜

[@josephlau13d77]

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...

[@morganstewart6620]

Cheers for confusing it

[@lutfiahdewi2270]

is this rule also applied to find Upper & Lower Class Boundaries in grouped data?

[@ayezashakeel436]

This video is so helpful I just couldn't understand upper and lower bound but this video does the magic. Thank you

[@fuseschool]

Wonderful! Glad the video was helpful!

[@hiiamahuman2426]

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]

It is stated that it is close to 7.5 e.g.7.499999..... Its not exactly 7.5

[@AR-en8qb]

thank you. you are a life saver

[@btssomaliarmy4ever722]

Waaw thank u teacher 💜😄 It was helpful really

[@fuseschool]

You're welcome 😊

[@hamza8895]

Nice video

[@fuseschool]

Thanks!

[@venuraweeramanthree812]

Thank you sooo much .. I learned new things whoch weren't leant in the school .. help ful and subscribed.. thank you.

[@fuseschool]

Amazing! So glad to hear that!

[@kazishahjalal6852]

Wow, this is the easiest way. Thank you very much.

[@fuseschool]

You're very welcome! 😊

[@amrfawzi7530]

Great video. Subscribed immediately. And clicked the bell icon.

[@fuseschool]

Awesome, thank you!

[@stewartsmith1464]

I don't understand.

[@fuseschool]

Do you have a question you want us to help you with in particular?

[@btssomaliarmy4ever722]

But i think she was explaining as a understandable way 🤗

[@alighazy5744]

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]

Stewart Smith ur dumb watch it again

[@josephlau13d77]

@@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

[@jansiyaraja5723]

you are an amazing teacher

[@rashane4328]

Thanks for the quick and understandable​ explanation!!

[@fuseschool]

No worries!

[@nselva0612]

Thank you so much you are helping me with maths🤗🤗🤗

[@fuseschool]

You are so welcome! Always happy to help!

[@JJ-iu9bf]

I dont understand the significant figures part can u pls explain

[@weirdpotato7462]

Thank you so much❤️

[@fuseschool]

No problem!

[@hycgestene97]

2:10 im dumb , how do you get the 0.5 ? where did it come from ?

[@fuseschool]

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

[@sikandarzaheer1349]

me literally watching this one night before my exam

[@odalvaas1443]

Thank you! This video was super helpful(:!

[@fuseschool]

Glad it was helpful!

[@yes-wo7qn]

I don't get it...

[@fuseschool]

If you're unsure how to deal with these questions, I always think it is easiest to write down the other answers either side of the rounded answer and then work out what comes in the middle of those. QUESTION 1: 6.5cm is correct to 1 decimal place. What are the upper and lower bounds? ANSWER 1: The answer is rounded to 1 decimal place so write down the answers either side of 6.5: 6.4 6.5 6.6 Lower bound: what is halfway between 6.4 and 6.5? Lower bound = 6.45 6.4 6.45 6.5 6.6 Upper bound: what is halfway between 6.5 and 6.6? Upper bound = 6.55 6.4 6.5 6.55 6.6 QUESTION 2: 5.67 is rounded to 3 significant figures. What are the upper and lower bounds? ANSWER 2: The answer is rounded to 3 sig figs so write down the answers either side of 5.67: 5.66 5.67 5.68 Lower bound: what is halfway between 5.66 and 5.67? Lower bound = 5.665 5.66 5.665 5.67 5.68 Upper bound: what is halfway between 5.67 and 5.68? Upper bound = 5.675 5.66 5.67 5.675 5.68

[@alighazy5744]

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?

[@mathematicswithusman1643]

Very well paced and wonderfully delivered, which software you are using for editing??

[@fuseschool]

Thanks! We use After Effects.

[@Sultan-vz6gp]

It was really easy to understand....thanks a lot.

[@dina7danish]

Thank you for this video!!😭 It helps me a lot

[@fuseschool]

You're so welcome! Glad it helped!

[@cu3864]

helped alot, thanks. just try to be more natural with your movements...

[@NoelSebastian-S]

is the degree of accuracy always 1kg in 2:20?

[@fuseschool]

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.

[@ronisutradhar9517]

Thanks madam... from Kolkata...

[@aries3961]

thank you so much, i was trying to understand this topic

[@fuseschool]

You are most welcome!

[@khalidakanwal2054]

Omg thankyou u were so helpfulll omggg i cant help thank you enough

[@fuseschool]

No problem!! Glad it helped!

[@KhalidGujjar173635]

Amazing

[@daniellgrace8670]

thankyou .. explained claerly

[@Jjfds.Vcfghxssdbfrtgdx]

Thank you so much. It really helps me

[@fuseschool]

Thank you!

[@sherlxck-221b9]

Oh this is easy. 👍🏼 Good job

[@fuseschool]

Thank you! 😊

[@yousufabrar3031]

what to do if the question says find upper bound of 80 cm which is in 1 s.f

[@hammadabdullah7373]

I have a exam tomorrow thank you

[@fuseschool]

Best of luck 🙌

[@아르마딜로-n4e]

Wait so if the question has for example 2.4m nearest 10cm i dont need to convert the unit?

[@tenkhosidlamini5281]

Thank you!!

[@fuseschool]

You're welcome!

[@faiaazzz]

thank you! helped alot!!!

[@fuseschool]

Awesome! Glad it helped!

[@paintmyday_Official]

Can u plz deliver a lecture on absolute zero

[@seharamer8640]

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..?

[@isratzn]

Ohhh I kinda get it now thanks!

[@tranhoangminh5262]

why does 9.58's upperbound is 9.585? isn't 9.585 rounded to 9.59 (2dp) instead?

[@btstan3593]

Thank you , u helped a lot!!

[@fuseschool]

Glad we could help!

[@m.c.5884]

Omggg hi army 💜💜💜

[@tayanaliss9713]

thanks I understood!

[@fuseschool]

Great!

[@sijiekang9881]

Really helpful

[@m.khizer592]

thanks well taught

[@isratzn]

Does knowing the sig fig change anything? Cuz it gives the same answer

[@bell5081]

thanks for the help

[@fuseschool]

Any time!

[@tembusolomon6186]

Nicely explained.

[@fuseschool]

Thank you 🙂

[@channelle7786]

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

[@nursofeanurhisham]

why is everyone saying they dont get it??? thisis the only video on this topic that i understood??

[@prettymugisa]

thank you so much

[@fuseschool]

You're welcome!

[@jovanchoi9718]

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]

This video explains significant figures, check it out: kzbin.info/www/bejne/a6SqkoiOf7xmiMU

[@Aditya-hy7up]

really worth it ... understood everything..

[@fuseschool]

Awesome!

[@mirajuddin6874]

Thnx a lot Although I didn't understand the reason but I'm able to do the maths

[@fuseschool]

Cool!

[@user-od7it1qq9b]

bruh if you dont understand u dont rlly know xd

[@alimajid4288]

THis helped me fr tyyy

[@fuseschool]

Great! Glad it helped!

[@vanesab4089]

I don’t understand what is 3 significant figures and why is 0,1?

[@user-ox8qs9jx6j]

How can i find the degree of accuracy?

[@ZS03]

Awesome 😎

[@the21podcast]

thanks yoo

[@fuseschool]

No problem!

[@charlottehogan949]

What is the degree of accuracy? Is that how much the measurement is going up by?

[@fuseschool]

It's the measurement of how close a stated value is to the actual value being described.

[@euiinshin7694]

I get ittttt

[@bibame97]

thnksss

[@fuseschool]

Welcome!

[@thanosthegreat9666]

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]

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]

@@fuseschool Oh! Okay tyysm ❤️ i get it now 🙌

[@fuseschool]

Awesome 🙌

[@pluto_1626]

everyone seems to find this really easy but for some reason I don't://

[@bhayyhamlal1417]

how am i supposed to concentrate?

[@Bronzeg_15]

Wait hold up huh !!

[@arsiadourian8661]

isn’t 7.5 going to be rounded up to 8?

[@fuseschool]

You are right, but check out Lucy's explanation of it from 1:16 🙂

[@agent47cr7batmanmadridista2]

I don't understand what is significant figures

[@fuseschool]

Watch this video, it explains it: kzbin.info/www/bejne/a6SqkoiOf7xmiMU

[@aditiboodhoo8387]

👌

[@reijilimbu6163]

3 significant figure of 1 I was expecting 0.001 but it’s 0.1 how’s it.

[@fuseschool]

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.

[@muhammadkahfi649]

Thanks very help

[@fuseschool]

Glad you found the video helpful

[@fatimagabol4447]

i have a question

[@harxsh09]

Are you Britisher. Your voice is so similar to Millie bobby brown

[@ismaelkhaled8224]

Me to

[@jackierusso182]

This has nothing to do with actual bounds. This is just rounding.

[@xno_capp1274]

OMG!!!! you smile tooo much

[@aqsaayyoub8409]

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]

Great suggestion! We will consider 🙂

[@aqsaayyoub8409]

@@fuseschool Thanks

[@jovanchoi9718]

*times

[@mineprofessional1642]

Same here...un able to understand.

[@hassank8140]

same what is this

[@tushargaming7971]

I don't understand it is difficult