How to use upper and lower bounds

[@fariamahmud3198]

Thank you so much Simon.I desperately needed a bound tutorial.Now I hope to beat some of these maths problems tomorrow at my O'level exam.(this tutorial just saved four marks for tomorrow!) You are awesome. :)

[@3minutemaths]

Faria Mahmud Glad to help and all very best for your exam!

[@jacobcruise9322]

Your o level exam. How old are u

[@amenm18]

My g out there saving lives

[@bluebear3550]

forreal XD

[@AIONBERSERKER]

Thanks for the video for all those out there an easy way to remember this is with the following definition: Whenever a measurement is rounded to a given unit, the actual measurement can be anything up to HALF a unit bigger or smaller.

[@3minutemaths]

Thanks AIONBERSERKER and glad the video helped :-)

[@jackshanahan2000]

lol that last 'forever alone moment when he smiles at the camera, expecting someone to turn it off. then he has to go and do it himself.

[@3minutemaths]

Lol - then I discovered the joys of video editing!

[@O-Tube97]

xDDD Oh shit. :'DDD

[@tweed_guy2260]

Thanks Simon I missed the upper and lower bounds lesson and my teacher gave us homework on it and I didn't understand a thing and thanks to you I can finally do it

[@Aspeexia]

I have my maths GCSE tomorrow thanks for this last minute revision! :)

[@3minutemaths]

Good luck Aspeexia !

[@YomanExpert1039]

Thanks so much Simon Deacon! I had so much problems with this...as my teacher didn't explain the topic properly...but because of your tutorial...im able to understand without any difficulties!

[@Jex2Monsta]

So i have been watching u for about a week now with my revision and i found ur videos very helpful with simple explanations thnx

[@3minutemaths]

Glad to help Faze Pamaj :-)

[@abbiecoppell4094]

This video really helped me understand LB and UB a lot better! Thank you :)

[@3minutemaths]

Glad to help Abbie Coppell :-)

[@muazsaqib7281]

Uncle Simon u r the best Teacher :) i like the way u explained everything ..

[@HarmanKakel]

Thanks man! All your videos are helping me a lot for my maths exams

[@SuperSonicSpeedGuy]

Thanks for the video's, they're really helpful! We've gone over this time and time again in class but I just couldn't understand it, but know I do :-) Exams are fast approaching (Just one week!), so please keep up the good work on these fantastic vids! Thanks again, Ry.

[@lena7665]

Thank you so much Sir, that really helped. I was getting confused with upper bounds because it seemed illogical to me that 3.5 is the upper bound of 3 as 3.5 actually rounds up to 4. But now I finally get it! I wish you were my maths teacher :)

[@dawn5583]

Thanks as an adult learner this has cleared up a few questions on this subject. Going to tell all my classmates about this .

[@3minutemaths]

Glad to help Dawn Wright and all best with your studies :-)

[@franklynd5895]

Thanks this video helped so much it's like right before my IGCSE exam and I'm totally comfused after I've seen this video I got the questions right. Thumb up sir.

[@3minutemaths]

Hi Frank Fu glad the video helped :-)

[@eesaarashid1954]

This helped a lot my maths teacher can't even tech us this when questions we approach are these

[@ABWEndon]

Very well explained, thanks.

[@siddharthmanchanda7971]

thank you for this great help. Really helped with my IGCSE course nd i have my exams going this was the best way to learn it .

[@3minutemaths]

Glad to help Siddharth MANCHANDA :-)

[@mollycooper9770]

Thankyou really been struggling but this really helped

[@amavprasee2694]

Thanks, that was helpful. Try making videos on calculating area and perimeter through bounds.

[@imanazam2757]

thx this helped loads. I was struggling.

[@3minutemaths]

Glad to help and all best S :-)

[@riskpill]

Thank you for the nice lucid explanation !! Do you have a similar video on lower and upper bounds using Big O, Omega, theeta notations (Eg : Bubble sort worst case O(n squared), best case Omega (n) etc )

[@3minutemaths]

Hi rishi k pillai .. sorry, not at the moment, although I'll let you know when done. All best S :-)

[@niallwood]

Thank you so much, i got a year 9 maths test tomorrow on the first day back and i needed to cover some topics :D

[@3minutemaths]

All best for your test! :-)

[@niallwood]

Simon Deacon thank you :)

[@SammieAli1]

your vids are so helpful thank you!

[@3minutemaths]

Glad it helped :-)

[@yusrmalik5901]

hey Simon Deacon your video actually helped me in getting the concept of the upper and lower bounds! i got the part that i divide 0.1 by two and then subtract it from and add it to the time to get the lower bound and the upper bound of the time but what i didnt really get is the part of the three significant figures do we divide 0.1 by two and subtract it from and add it to the distance? i am having a test tmw and i would really like it if you would reply asap THANK YOU AGAIN!!!

[@fushuaili8357]

thanks a lot , it is fairly clear about the concept of upper and lower bound!

[@3minutemaths]

+Fu Shuai Li - Glad to help :-)

[@whitts3977]

another brilliant tutorial, these really help thanks simon

[@lewangillard9701]

Thanks, you really helped me for my exam.

[@3minutemaths]

+lewan gillard - That's great and glad to help :-)

[@Lol_boyy]

I finally get it, thanks for the superb explanation

[@3minutemaths]

+Lol_boyy 13002 Glad to help and all best S :-)

[@anirudhchola517]

Mr simon, how do I round 30m/s to the nearest 5 m/s and 5minutes to the nearest 10 seconds

[@saaniasparkle5030]

I love your videos, they are so helpful 🤗

[@salmankhalid1685]

Thank you very much! This is going to help me in my IGCSE exams.

[@3minutemaths]

+Salman Khalid - Glad to help and all best S :-)

[@salmankhalid1685]

Is there any possible way for you to upload lessons on linear programming?

[@3minutemaths]

+Salman Khalid - Hi - I'll look into this and let you know when posted. All best S :-)

[@dcmusic3854]

Hi, I dont understand why you choose the upper bound for the time. Understand everything else though, big help. Thanks.

[@mrjslukhele9345]

Thank you so much Simon, can i have your website please

[@stephenbarker100]

i got the value for lower and upper bounds how to you calculate the values of both

[@stephenbarker100]

to the nearest kilogram luggage on scales weighs 25kg is the lower bound 24.5 and the upper bound 25.5

[@henga_0922]

Great video, great explanation, thanks for the help!

[@3minutemaths]

Glad to help and all best S :-)

[@harrywilding1796]

Can you make a video on functions?

[@hussam9044]

Yeah please make a video on functions i am struggling.

[@fruitygarlic3601]

Unrelated to the video, but I'm in love with that teddy coat. If you swapped out the regular zipper with an O-ring one, it would be such an iconic AW18 look.

[@3minutemaths]

I love that top - must get another one!

[@AmmaarahRavat]

So clear! Thank you so much this is so helpful!

[@crumbfluencer]

Thanks, really helpful - my teacher forgot to teach us this and out test is tomorrow!

[@3minutemaths]

+Ibrahim Zaidi - Glad to help and all best with your test :-)

[@L3n1n99]

These are really good, thankx!

[@luci-musix3012]

You make more sense then my maths tracher so, thanks

[@markrodrigues9915]

very well explained.Great!

[@glimmerlifeVA]

Hi, I recently moved to a new school which isn't a special needs one, and as I have a little learning difficulties I'm finding the maths lessons really hard to grasp. I recently failed on my first maths exam. I kinda get the concept a bit with UB and LB- but my teacher asks for 1 significant figures instead of many, she also says you have to show the steps or you won't get your marks but I've only JUST grasped the idea of how to work out set theory. I have tutoring four times a week and self- study but because my old school gave us work meant for 5 graders in year 9... well, I couldn't really grasp THAT. please do you have any advice for me? -I'm a 10th grader and I'm really nervous because I NEED maths in the future when I am to qualify for Collage. -Please reply if you can Thanks for your time

[@bantercomedy4947]

sir isn't working the upper bound upper divide by lower?

[@iman-feliciatoronga6552]

thankyou, this did help quite a bit.

[@hamzairfan9286]

Thank you, this video really helped me to understand this topic :).

[@3minutemaths]

Glad to help Hamza Irfan :-)

[@Chambers_DJ]

Thanks for the help! Exams are too close for comfort!

[@3minutemaths]

Harri Chambers Good luck with the exams :-)

[@BiTurtles]

I can not figure this question out, and it is frustrating me.. please help. The attendance at a local amusement park for one day last summer was estimated at 1500 to the nearest hundred. If each admission ticket sold for $21.75 what are the upper and lower bounds for the money that was collected in admissions that day?

[@3minutemaths]

Hi Utilizers. the main bit of the question is '1500 to the nearest 100.' The lower bound would be 1450 (as this is 1500 to the nearest 100) The upper bound is 1550 So, the lower bound money collected is 1450 x $21.75 = $31537.50 The upper bound is 1550 x £21.75 = $33712.50 I hope this helps and all best S :-)

[@lewismoir7775]

cheers this will really help for my exams!

[@3minutemaths]

Lewis Moir That's great and all very best :-)

[@Marmar68828]

Thanks it was very helpful

[@susanholmes7468]

well explained, thank you

[@banthatimphahlele5390]

Really helpful ⭐️

[@jasonjoseph6427]

I don't understand what you said and it is confusing me. In our school we are learning about bounds and when the teacher explains it, i do not get it, can you please help me

[@3minutemaths]

Hi - imagine that you're making 10,000 tables .... all of them 1.2m long. Sometimes, you might make them slightly bigger or smaller (say 1cm either way?) - that's called the 'tolerance.' In maths you'd use the word 'bound' but it means the same :-)

[@k4713mc5]

If only I had found these videos earlier!

[@187arceus]

Your videos are so helpful. Are you a professional teacher?

[@3minutemaths]

Thanks and glad the videos help - I work as a tutor :-)

[@187arceus]

tutorvista?

[@3minutemaths]

Ryan Varghese Hi - no, I tend to work offline one to one. Tutorvista looks good though.

[@187arceus]

how much per lesson

[@3minutemaths]

Hi Ryan - it depends upon location and requirements... perhaps email through mathswrap.co.uk?

[@aaronr64]

Thx for the video it really helped me

[@3minutemaths]

That's great and really glad to help :-)

[@dontcare3299]

Lov this vid! Thank you!

[@physicsimpossible73]

Hi, just wondering where you find the answers for the questions on the website. Your website is amazing, it is very useful :D

[@3minutemaths]

Hi Epicnerd73 Really glad you like the website www.mathswrap.co.uk ... I'll be posting answers soonest and will let you know when done. Good luck with your studies and all best S :-)

[@physicsimpossible73]

Simon Deacon Ok, thanks a lot :)

[@GabzC1999]

Hi i was wondering how i could calculate the upper and lower bounds of 3.0 x 10^ (correct to 2sf). I am really confused. Thank you

[@3minutemaths]

Gabrielle Connell Hi .. happy to help but need the number after 10^ (this is 10 to the power of ? ) S :-)

[@GabzC1999]

Oh sorry! It's the power of 8

[@3minutemaths]

Gabrielle Connell Hi 3.0 x 10^8 is the same as saying 3 with 8 zeros .. 300000000 If this number was correct to 2sf it would be the 30 at the very beginning. This means that the lower bound would have been 255000000. It's a bit of a confusing question - do you have an answer?

[@jackbond8924]

So helpful thank you

[@brushwork2744]

really helpful, thank you!

[@3minutemaths]

Glad to help Thomas Westlake :-)

[@umayrdauhoo6977]

be my maths teacher

[@3minutemaths]

Lol, glad to help and all best S :-)

[@tanishashah3215]

This question has been bugging me from so long. i can"t get the correct answer. please can you help me? Question - What would the area of a rectangle is 100cm^2 and length is 10cm. both are correct to 2sf. the other length is x. calculate the upper and lower bounds for the value of x.

[@tanishashah3215]

the area of a rectangle is 100cm^2.****

[@scottbx]

Cheers really helped got a text in 2 days to determine if i should stop in top or go down

[@3minutemaths]

Hi scottyjbrad b glad to help and good luck with your studies :-)

[@scottbx]

Thanks I did well, subscribing your so helpful!!

[@stephenbarker100]

with bounds got a pencil length of 9cm lower is 8.5cm. q2 height of a door to nearest 10cm what is maximum height q3 piece of paper is 18.4 cm to 1 dp is lower 18.35 cm and upper 18.45 cm

[@zaynab1801]

Thanks so much for the help

[@3minutemaths]

Zay Soyf No worries and all best :-)

[@Johan-dg8of]

that was very good do more videos

[@abiodunogunribido6]

Very helpfull thanks very much.

[@3minutemaths]

Glad to help Abiodun Ogunribido :-)

[@morrisgaming4181]

This video is very useful, so thank you, but you calculated the answer wrong; you divided the LB distance by the UB time to get the smallest value of speed.

[@mohanedmuhammed7710]

R u on Facebook or any other social website cuz I am an IGCSE student an need help in maths :(

[@3minutemaths]

Hi - I also post to MathsWrap.co.uk - hope this helps and good luck with the iGCSE. All best S

[@mushfiqurrahman2794]

Thank You!😀

[@thomaspringle4906]

This video is 🔥

[@HD-ko6ym]

thx this helped loads

[@3minutemaths]

Glad to help and all best S :-)

[@MrKingcrazy10]

Thank you are the best

[@charlottesmith6959]

surely the upper bound would be 26.24 because you are rounding down?? I'm confused???

[@crazyjingle55]

Thank you so much ! :D

[@joonhoongchan1002]

Thanks and u help me alot!

[@3minutemaths]

+Joon Hoong Chan - That's great and glad to help :-)

[@joonhoongchan1002]

+Simon Deacon ,Thank you Mr Simon, Joon Hoong is my father,I used his account to watch,and I did well in the upper bound and lower bound question in mathematics exam! Thank you 😊

[@3minutemaths]

+Joon Hoong Chan - ... congratulations!

[@stephenbarker776]

have i got this right upper bound is found by ub over lb and lower bound is lb over ub

[@3minutemaths]

+Stephen Barker - Not really sure as I've never looked at it that way. I usually work out LB and go from there.... :-)

[@stephenbarker776]

Simon Deacon heres an example a field in the shape of a rectangle has a length of 340 to nearest metre and width of 117 ti nearest metre work out the upper bound

[@3minutemaths]

+Stephen Barker - 340 to nearest metre LB would be 339.5m ... UB then 340.5. 117 to nearest metre LB 116.5 ... UB then 117.5 :-) I'll post some more videos soon

[@stephenbarker776]

Simon Deacon only posted half the question you have to calculate the upper bound for the perimeter of the field

[@bantercomedy4947]

and isn't the least possible value lower divide by upper?

[@3minutemaths]

+BanterComedy - Hi - yes, that's correct - I tend to work with examples so: the least possible value would be the shortest distance divided by the longest time. All best S :-)

[@MroueMarwa]

Thank you very much :)

[@sinead4123]

Thank you

[@mushfiqurrahman2794]

Well, umm.. After seeing this video I was wondering what if the number was 262 instead.. Then what would the upper and lower bounds be?

[@3minutemaths]

Mushfiqur rahman Hi .. if it's 262 to 3sf then the lower bound would be 261.5 (UB 262.5). You'll usually be told whether it's sf or number of decimal places. I hope this helps and all best S :-)

[@booyademha8829]

helped alot thanks

[@3minutemaths]

Glad to help booya demha :-)

[@damonpower1943]

Wow thank you so much

[@3minutemaths]

Glad to help and all best S :-)

[@olive6785]

Thank you~~

[@LexLuthor731]

love u man

[@3minutemaths]

That's great - glad it helped :-)

[@3minutemaths]

Glad it helped :-)

[@jidma]

just so you know, 26.2499.. is actually equal to 26.25. (Otherwise you'd be able to find another real number strictly between them, but you can't because both are the same number).

[@3minutemaths]

Thanks jidma, appreciate the comment - all best S :-)

[@chucknorris3772]

Thanks.

[@3minutemaths]

Hi Kyle - thanks for your comment. I've posted a video 'How to calculate with significant figures' on the channel - hope it'll be helpful to answer your question. All best S

[@charlottesmith6959]

I get it now

[@The09face]

I just wanted to ask that say if instead the question asked for the most possible value instead of the least, would you then have to do 26.25 ÷ 3.05? I was thinking that would be the case considering its just the opposite

[@3minutemaths]

Tasnia Crow Hi yes, I think that would be correct and all best with your studies S :-)

[@3minutemaths]

Hi - no prob and thanks for letting me know :-)

[@hussam9044]

i was practicing for my Winter mathematics paper 2 then the first question was about upper bound...i felt so stupid i thought i was ready and i don't need to watch any videos on youtube. anyways thanks for the video.

[@3minutemaths]

Glad to help and all best :-)

[@chewysuarez4783]

0:50 lol sick sub sign m8

[@3minutemaths]

Chewy Suarez yeah - I need to be better at editing - lol :-)

[@mohammedzubair8459]

awsome

[@-Shadowjj-]

26.25 rounds to 26.6 (3sf) it would have to be 26.24

[@3minutemaths]

Hi - yes, that's absolutely correct .... except with bounds. In this case try to think of it as 'tolerances' and imagine that you're manufacturing something. If it was 10,000 tables at 150cm length, you might accept a tolerance of 0.5cm each side. The tolerance / bound would be 149.5 and 150.5. Hope that helps and all best S :-)