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# Math Question Help - Upper and Lower bounds

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1. Here is the math question that I am stuck on:
It's Pancake Day and Nigel is making a large batch of pancakes to share with friends. His recipe tells him to add 2.5 litres of milk, but his measuring jug only measures up to 500ml and is accurate to the nearest 10ml.
a) What is the maximum volume of milk Nigel could measure out, assuming he is accurate as he can be?
b) What is the minimum volume of milk Nigel could measure out?

We haven't started Upper and Lower bounds in school yet so I'm just doing further work from a workbook but I can't seem to understand this question! Step by step instructions will be greatly appreciated.
2. a) 505 would be the upper bound as anything less would round down to 500ml.
As there are 2500ml in 2.5L, multiply 505 by 5 to get the max volume he could measure.

Try and do b) by yourself, bitesize should help if you get stuck:
http://www.bbc.co.uk/schools/gcsebit...materev5.shtml
3. (Original post by Jay Shun)
a) 505 would be the upper bound as anything less would round down to 500ml.
As there are 2500ml in 2.5L, multiply 505 by 5 to get the max volume he could measure.

Try and do b) by yourself, bitesize should help if you get stuck:
http://www.bbc.co.uk/schools/gcsebit...materev5.shtml
Thank you for your help. The answers I got from a) and b) were 2525 for maximum bound and 2475 for lower bound that I followed from your method. However, in the answer the book it says the maximum value is 2.25251 and minimum was 2.4751. Can you explain this please
4. Well you got b) right (just divide it by 1000 to convert to litres)
As for a), I have no clue. It would have to be (450.5 X 5)/1000 to get that answer but that would just round to 460. Sorry if i just ended up confusing you

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